The book that demystifies academic writing, teaching students to frame their arguments in the larger context of what else has been said about their topic–and providing templates to help them make the key rhetorical moves. The best-selling new composition book published in this century, in use at more than 1,000 schools, They Say / I Say has essentially defined academic writing, identifying its key rhetorical moves, the most important of which is to summarize what others have said (“they say”) to set up one’s own argument (“I say”). The book also provides templates to help students make these key moves in their own writing.
The Second Edition includes a new chapter on reading that shows students how to read for the larger conversation and two new chapters on the moves that matter in the sciences and social sciences. line drawings.
039393361X
NO JACKET /BUT IN VERY GOOD CONDITION
B000W2DA0S
Each of the 83 Transparencies includes: * A short quiz over the previous lesson or chapter for each lesson in the Student Edition * A question on each transparency in multiple-choice format * Answers to all questions Additional Assessment Opportunities at glencoe.com * Self-Check Quizzes * Standardized Test Practice * Chapter Test Practice
0078784808
For many years, Marilyn Burns has produced a newsletter for teachers. Each newsletter contains classroom-tested activities from teachers across the country. This compilation presents the newsletters' best problem-solving lessons for grades 1-6. The lessons span the strands of the math curriculum and are illustrated with children's work.
0941355160
Full-length 1998 AP Calculus AB and BC exam. This booklet includes multiple-choice exam with questions and answers, free-response questions, scoring guidelines, sample student responses and commentary. Statistical information about student performance on the 1998 exams is included.
B000MTZ0WM
NEW! Available free when ordered in a package with the text, this resource contains all the line art from the text without labels with plenty of room for students to take notes.
0805370951
Takes job-seekers step-by-step through the process, including participating in conferences, using the Internet, handling telephone interviews, and cultivating contacts, and offers sample curricula vitae, cover letters, abstracts, and more. Original. UP.
0812215958
Designed as a stand-alone supplement for any beginning or intermediate algebra text, Activities Manual for Beginning and Intermediate Algebra is a collection of activities written to incorporate the recommendations from the NCTM and from AMATYC's Crossroads. Activities can be used during class or in a laboratory setting to introduce, teach, or reinforce a topic. This set of activities facilitates discovery learning, collaborative learning, use of graphing technology, connections with other areas of mathematics and other disciplines, oral and written communication, real data collection, and active learning.
053435355X
This collection of activities facilitates discovery learning, collaborative learning, graphing technology, connections with other areas of mathematics and other disciplines, oral and written communication, real data collection, and active learning. Designed as a stand-alone supplement for any beginning or intermediate algebra text, it incorporates the recommendations from NCTM in "Curriculum and Evaluation Standards for School Mathematics" and from AMATYC in "Crossroads in Mathematics – Standards for Introductory College Mathematics Before Calculus." Providing maximum flexibility, the activities can be used during class or in a laboratory setting to introduce, teach, or reinforce a topic.
0534998739
Beautifully Illustrated Activities Highlight Mathematical History These blackline activity masters highlight important achievements in the history of mathematics, from our earliest counting systems to modern developments in chaos theory. The book is beautifully illustrated with historical art. Its engaging vignettes introduce concepts, events, and influential mathematicians and show the contributions of the world's many cultures to the development of mathematics.
155953107X
The need for improved mathematics education at the high school and college levels has never been more apparent than in the 1990's. As early as the 1960's, I.M. Gelfand and his colleagues in the USSR thought hard about this same question and developed a style for presenting basic mathematics in a clear and simple form that engaged the curiosity and intellectual interest of thousands of high school and college students. These same ideas, this development, are available in the following books to any student who is willing to read, to be stimulated, and to learn.
"Algebra" is an elementary algebra text from one of the leading mathematicians of the world a major contribution to the teaching of the very first high school level course in a centuries old topic refreshed by the author's inimitable pedagogical style and deep understanding of mathematics and how it is taught and learned.
This text has been adopted at: Holyoke Community College, Holyoke, MA * University of Illinois in Chicago, Chicago, IL * University of Chicago, Chicago, IL * California State University, Hayward, CA * Georgia Southwestern College, Americus, GA * Carey College, Hattiesburg, MS
0817636773
Algebra & Geometry Professional Development DVD Video Package ©2006 Softcover with DVD The Algebra and Geometry Professional Development Series includes five Algebra 1 units, three Geometry units, and two Algebra 2 units. Each unit provides an interactive experience in which program users watch and listen to video clips of a classroom lesson, interviews with a guest educator, and an interview with the teacher of the video lesson. Units may be used individually or combined for custom courses. Lessons are designed to be self paced for independent instruction, district facilitated for professional development, or university instructor-led for accreditation or re-certification. These robust courses are approved for both college and CEU credits.
0078696917
Chapter Resources. Leveled Lesson Resources. Technology Resources. Answer included. 88 + pages
0078782880
Algebra Prerequisite Skills Workbook: Remediation and Intervention contains review and practice on prerequisite skills that students should have mastered prior to pre-algebra.
0078277590
Populated by curious creatures whose stories unfold with jokes, this mathematical wonderland of puzzles and games was written by a columnist for Pour la Science, the French edition of Scientific American. Most of the 16 articles are based on a mathematical idea, dressed up with oddball characters and wacky wordplay.
0486431819
The newly revised Second Edtion of this distinctive text uniquely blends interesting problems with strategies, tools, and techniques to develop mathematical skill and intuition necessary for problem solving. Readers are encouraged to do math rather than just study it. The author draws upon his experience as a coach for the International Mathematics Olympiad to give students an enhanced sense of mathematics and the ability to investigate and solve problems.
0471789011
Knuth's multivolume work, widely recognized as the definitive description of classical computer science, is now available in an attractive, boxed set. The three volumes included in this set have each been revised recently to reflect developments in the field. As earlier editions clearly demonstrated, they comprise an invaluable resource in programming theory and practice for students, researchers, and practitioners alike. Countless readers have spoken about the profound personal influence of Knuth's work. Scientists have marveled at the beauty and elegance of his analysis, while ordinary programmers have successfully applied his "cookbook" solutions to their day-to-day problems. All have admired Knuth for the breadth, clarity, accuracy, and good humor found in his books.
See descriptions of each individual volume for more information.
0201485419
This book furthers the discussion concerning critical pedagogy and its practical applications for urban contexts. It addresses two looming, yet under-explored questions that have emerged with the ascendancy of critical pedagogy in the educational discourse: (1) What does critical pedagogy look like in work with urban youth? and (2) How can a systematic investigation of critical work enacted in urban contexts simultaneously draw upon and push the core tenets of critical pedagogy? Addressing the tensions inherent in enacting critical pedagogy —between working to disrupt and to successfully navigate oppressive institutionalized structures, and between the practice of critical pedagogy and the current standards-driven climate—The Art of Critical Pedagogy seeks to generate authentic internal and external dialogues among educators in search of texts that offer guidance for teaching for a more socially just world.
0820474150
Updated and expanded, this second edition satisfies the same philosophical objective as the first to show the importance of problem posing. Although interest in mathematical problem solving increased during the past decade, problem posing remained relatively ignored. The Art of Problem Posing draws attention to this equally important act and is the innovator in the field.
Special features include:
* an exploration ofthe logical relationship between problem posing and problem solving
* a special chapter devoted to teaching problem posing as a separate course
* sketches, drawings, diagrams, and cartoons that illustrate the schemes proposed
* a special section on writing in mathematics
0898597250
Robert Kaplan's The Nothing That Is: A Natural History of Zero was an international best-seller, translated into ten languages. The Times called it "elegant, discursive, and littered with quotes and allusions from Aquinas via Gershwin to Woolf" and The Philadelphia Inquirer praised it as "absolutely scintillating." In this delightful new book, Robert Kaplan, writing together with his wife Ellen Kaplan, once again takes us on a witty, literate, and accessible tour of the world of mathematics. Where The Nothing That Is looked at math through the lens of zero, The Art of the Infinite takes infinity, in its countless guises, as a touchstone for understanding mathematical thinking. Tracing a path from Pythagoras, whose great Theorem led inexorably to a discovery that his followers tried in vain to keep secret (the existence of irrational numbers); through Descartes and Leibniz; to the brilliant, haunted Georg Cantor, who proved that infinity can come in different sizes, the Kaplans show how the attempt to grasp the ungraspable embodies the essence of mathematics. The Kaplans guide us through the "Republic of Numbers," where we meet both its upstanding citizens and more shadowy dwellers; and we travel across the plane of geometry into the unlikely realm where parallel lines meet. Along the way, deft character studies of great mathematicians (and equally colorful lesser ones) illustrate the opposed yet intertwined modes of mathematical thinking: the intutionist notion that we discover mathematical truth as it exists, and the formalist belief that math is true because we invent consistent rules for it. "Less than All," wrote William Blake, "cannot satisfy Man." The Art of the Infinite shows us some of the ways that Man has grappled with All, and reveals mathematics as one of the most exhilarating expressions of the human imagination.
0195176065
Assessment Alternatives In Mathematics: An Overview of Assessment Techniques That Promote Learning A revolution is going on in student assessment. Assessment Alternatives in Mathematics presents techniques that create a testing environment closer to that of the working worldwhere people are valued for the projects they do and their solutions to problems. This book offers practical alternatives to standardized, multiple-choice testing. It is a review of methods to assess students' completed tasks and products such as portfolios, writing, and investigations. Student performance is evaluated through observation, interviews, and open-ended questions. Self-assessment by students is encouraged. A sampler of assessment techniques and where-do-we-go-from-here strategies are included. For: Teachers, Teacher Educators, Administrators, and Parents.
0912511540
Series: MAA Notes
This book, a collection of assessment practices that have been tried by more than 100 contributors in mathematics at a wide variety of schools, attempts to offer the mathematics teacher suggestions from an insider’s perspective. The book is not formulaic: no author claims to have "the answer," and many of the projects reported on are still in progress. On the other hand, the articles provide a wealth of suggestions from creative, energetic, and concerned individuals who have had the courage to experiment and to critique their own efforts. Without doubt, the reader will find in these pages encouragement to experiment on his or her own, to find assessment methods that are personally meaningful.
088385161X
This brand-new manual prepares prospective teachers in the California public school system to pass all three sections of the required statewide test: Reading, Math, and Writing. Following a general introduction and overview of the CBEST, the authors present diagnostic tests in reading and math, both with answers and analysis. Each diagnostic is followed by a full-length test that is much like the Reading and Math tests on the actual CBEST. Both tests come with answer sheets and answer keys. The book�s following chapter covers the Writing Test, and presents example essays with an analysis pointing out the strengths and weaknesses of each. The book concludes with additional brief practice tests and answer keys.
0764135899
This 17th edition of Barron’s GRE manual reflects recent Graduate Record Exams and presents six full-length model exams with all questions answered and explained. Tests are similar to recent actual GREs in length, question types, and degree of difficulty. The manual also reviews all GRE test topics: antonym, analogy, and sentence-completion questions, reading comprehension, analytical writing, quantitative comparison questions, data interpretation, and math.
0764135414
This book by an expert presents a clear, concise introduction to the special techniques for creating complex polyhedra models. Based on the classic Platonic solids, these 17 projects are appropriate for folders at all levels. Step-by-step diagrams offer detailed views of the models' assembly, and photos depict completed models.
0486461726
Published to glowing praise in 1990, Science for All Americans defined the science-literate Americandescribing the knowledge, skills, and attitudes all students should retain from their learning experienceand offered a series of recommendations for reforming our system of education in science, mathematics, and technology. Benchmarks for Science Literacy takes this one step further. Created in close consultation with a cross-section of American teachers, administrators, and scientists, Benchmarks elaborates on the recommendations to provide guidelines for what all students should know and be able to do in science, mathematics, and technology by the end of grades 2, 5, 8, and 12. These grade levels offer reasonable checkpoints for student progress toward science literacy, but do not suggest a rigid formula for teaching. Benchmarks is not a proposed curriculum, nor is it a plan for one: it is a tool educators can use as they design curricula that fit their student's needs and meet the goals first outlined in Science for All Americans. Far from pressing for a single educational program, Project 2061 advocates a reform strategy that will lead to more curriculum diversity than is common today.
IBenchmarks emerged from the work of six diverse school-district teams who were asked to rethink the K-12 curriculum and outline alternative ways of achieving science literacy for all students. These teams based their work on published research and the continuing advice of prominent educators, as well as their own teaching experience. Focusing on the understanding and interconnection of key concepts rather than rote memorization of terms and isolated facts, Benchmarks advocates building a lasting understanding of science and related fields. In a culture increasingly pervaded by science, mathematics, and technology, science literacy require habits of mind that will enable citizens to understand the world around them, make some sense of new technologies as they emerge and grow, and deal sensibly with problems that involve evidence, numbers, patterns, logical arguments, and technologyas well as the relationship of these disciplines to the arts, humanities, and vocational sciencesmaking science literacy relevant to all students, regardless of their career paths.
If Americans are to participate in a world shaped by modern science and mathematics, a world where technological know-how will offer the keys to economic and political stability in the twenty-first century, education in these areas must become one of the nation's highest priorities. Together with Science for All Americans, Benchmarks for Science Literacy offers a bold new agenda for the future of science education in this country, one that is certain to prepare our children for life in the twenty-first century.
0195089863
Published to glowing praise in 1990, Science for All Americans defined the science-literate Americandescribing the knowledge, skills, and attitudes all students should retain from their learning experienceand offered a series of recommendations for reforming our system of education in science, mathematics, and technology. Benchmarks for Science Literacy takes this one step further. Created in close consultation with a cross-section of American teachers, administrators, and scientists, Benchmarks elaborates on the recommendations to provide guidelines for what all students should know and be able to do in science, mathematics, and technology by the end of grades 2, 5, 8, and 12. These grade levels offer reasonable checkpoints for student progress toward science literacy, but do not suggest a rigid formula for teaching. Benchmarks is not a proposed curriculum, nor is it a plan for one: it is a tool educators can use as they design curricula that fit their student's needs and meet the goals first outlined in Science for All Americans. Far from pressing for a single educational program, Project 2061 advocates a reform strategy that will lead to more curriculum diversity than is common today.
IBenchmarks emerged from the work of six diverse school-district teams who were asked to rethink the K-12 curriculum and outline alternative ways of achieving science literacy for all students. These teams based their work on published research and the continuing advice of prominent educators, as well as their own teaching experience. Focusing on the understanding and interconnection of key concepts rather than rote memorization of terms and isolated facts, Benchmarks advocates building a lasting understanding of science and related fields. In a culture increasingly pervaded by science, mathematics, and technology, science literacy require habits of mind that will enable citizens to understand the world around them, make some sense of new technologies as they emerge and grow, and deal sensibly with problems that involve evidence, numbers, patterns, logical arguments, and technologyas well as the relationship of these disciplines to the arts, humanities, and vocational sciencesmaking science literacy relevant to all students, regardless of their career paths.
If Americans are to participate in a world shaped by modern science and mathematics, a world where technological know-how will offer the keys to economic and political stability in the twenty-first century, education in these areas must become one of the nation's highest priorities. Together with Science for All Americans, Benchmarks for Science Literacy offers a bold new agenda for the future of science education in this country, one that is certain to prepare our children for life in the twenty-first century.
0195089863
In 1977, the Mathematics Department at the University of California, Berkeley, instituted a written examination as one of the first major requirements toward the Ph.D. degree in Mathematics. Its purpose was to determine whether first-year students in the Ph.D. program had successfully mastered basic mathematics in order to continue in the program with the likelihood of success. Since its inception, the exam has become a major hurdle to overcome in the pursuit of the degree.
The purpose of this book is to publicize the material and aid in the preparation for the examination during the undergraduate years since a) students are already deeply involved with the material and b) they will be prepared to take the exam within the first month of the graduate program rather than in the middle or end of the first year. The book is a compilation of approximately nine hundred problems which have appeared on the preliminary exams in Berkeley over the last twenty years. It is an invaluable source of problems and solutions for every mathematics student who plans to enter a Ph.D. program. Students who work through this book will develop problem solving skills in areas such as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra. The problems are organized by subject and ordered in an increasing level of difficulty. Tags with the exact exam year provide the opportunity to rehearse complete examinations. The appendix includes instructions on accessing electronic versions of the exams as well as a syllabus, statistics of passing scores, and a Bibliography used throughout the solutions. This new edition contains approximately 120 new problems and 200 new solutions. It is an ideal means for students to strengthen their foundation in basic mathematics and to prepare for graduate studies.
0387008926
Susan Crawford presented examples of inadvertent but blatant sexism to her daughter's school. The luke-warm response she received influenced her to research the topic to learn ways parents could have an impact.
0435081292
The emphasis in this edition of the text is on "the big ideas" - helping students distinguish key concepts in detail. It includes evolution as a main theme of the book.
0805319409
Biology in the Laboratory, Third Edition, designed to accompany introductory level biology courses, helps students learn to form hypotheses and apply the scientific method. Questions in the manual promote critical thinking and help students make accurate observations, organize and interpret their data, and reach sound conclusions.
Custom Publishing
Create a customized version of this text or mix and match it with similar titles with W.H. Freeman Custom Publishing!
0716731460
In THE BOOK OF NUMBERS, two famous mathematicians fascinated by beautiful and intriguing number patterns share their insights and discoveries with each other and with readers. John Conway is the showman, master of mathematical games and flamboyant presentations; Richard Guy is the encyclopedist, always on top of problems waiting to be solved. Together they show us why patterns and properties of numbers have captivated mathematicians and non-mathematicians alike for centuries. THE BOOK OF NUMBERS features Conway and Guy's favorite stories about all the kinds of numbers any of us is likely to encounter, and many others besides. "Our aim," the authors write, "is to bring to the inquisitive reader. . .an explanation of the many ways the word 'number' is used." They explore patterns that emerge in arithmetic, algebra, and geometry, describe these pattern' relevance both inside and outside mathematics, and introduce the strange worlds of complex, transcendental, and surreal numbers. This unique book brings together facts, pictures and stories about numbers in a way that no one but an extraordinarily talented pair of mathematician/writers could do.
038797993X
A dazzling new work of popular science and psychology for readers who enjoyed Blink, Stumbling on Happiness, or The Black Swan.
The New York Times called the Kaplans’ look at probability in everyday life, Chances Are..., “a dizzying, exhilarating ride.” Now they take readers on a new fun-house tour—exploring the burgeoning science of why humans make mistakes. Our species, it appears, is hardwired to get things wrong in myriad different ways. Why did recipients of a loan offer accept a higher rate of interest when a pretty woman’s face was printed on the flyer? Why did one poll on immigration find the most despised aliens were ones from a group that did not exist? What made four of the air force’s best pilots fly their planes, in formation, straight into the ground? Why does giving someone power make him more likely to chew with his mouth open and pick his nose? And why is your sister going out with that biker dude?
In fact, our cognitive, logical, and romantic failures may be a fair price for our extraordinary success as a species—they are the necessary cost of our adaptability. Michael and Ellen Kaplan swoop effortlessly across neurochemistry, behavioral economics, and evolutionary biology, among other disciplines, to answer, with both clarity and wit, the questions above—and larger ones about what it means to be human.
1596914009
The California Basic Education Skills Test (CBEST) is required in California and Oregon to obtain teaching credentials. This revised edition includes a new math section, new reading composition exercises, and the latest information on required teaching credentials.
0764586084
REA
Real review, Real practice, Real results.
Take your teaching career to the head of the class.
CBEST with TESTware
Includes CD with timed practice tests, instant scoring, and more.
For California Licensure
Are you prepared to excel on the CBEST?
* Get to know the test, how it is scored, and much more.
* Set up a study schedule by following our flexible, results-driven timeline
* Take the first full-length practice test to discover what you know and what you should know
* Use REA's advice to ready yourself for proper study and success
Sharpen your knowledge and skills
* All areas on the official exam are covered in the Reading, Writing, and Mathematics reviews
* Lessons reinforce necessary skills
* Key tutorials enhance specific abilities needed on the test
* Targeted drills increase comprehension and help organize study
Practice for real
* Create the closest experience to test-day conditions with three full-length practice exams on REA’s TESTware CD, featuring test-taking against the clock, instant scoring by topic, handy mark-and-return function, pause function, and more
* OR, choose paper-and-pencil testing at your own pace
* Chart your progress with full and detailed explanations of all answers
* Boost your confidence with test-taking strategies and experienced advice
Get to the head of the class! Get certified!
REA books and software have proven to be the extra support teacher candidates need to pass their challenging test for state licensure. Our comprehensive study guides are teacher-recommended and written by educators who have mastered the test and the related program of study.
0878914102
Includes 18 competencies/skills found on the CSET Physics tests and 80 sample-test questions. This guide, aligned specifically to standards prescribed by the California Department of Education, covers the sub-areas of Motions and Forces; Conservation of Energy and Momentum; Heat and Thermodynamics; Waves; Electromagnetism; Quantum Mechanics and the Standard Model of Particles; Investigation and Experimentation; Nature of Science; and Science and Society.
1581972245
The Calculus of Friendship is the story of an extraordinary connection between a teacher and a student, as chronicled through more than thirty years of letters between them. What makes their relationship unique is that it is based almost entirely on a shared love of calculus. For them, calculus is more than a branch of mathematics; it is a game they love playing together, a constant when all else is in flux. The teacher goes from the prime of his career to retirement, competes in whitewater kayaking at the international level, and loses a son. The student matures from high school math whiz to Ivy League professor, suffers the sudden death of a parent, and blunders into a marriage destined to fail. Yet through it all they take refuge in the haven of calculusuntil a day comes when calculus is no longer enough.
Like calculus itself, The Calculus of Friendship is an exploration of change. It's about the transformation that takes place in a student's heart, as he and his teacher reverse roles, as they age, as they are buffeted by life itself. Written by a renowned teacher and communicator of mathematics, The Calculus of Friendship is warm, intimate, and deeply moving. The most inspiring ideas of calculus, differential equations, and chaos theory are explained through metaphors, images, and anecdotes in a way that all readers will find beautiful, and even poignant. Math enthusiasts, from high school students to professionals, will delight in the offbeat problems and lucid explanations in the letters.
For anyone whose life has been changed by a mentor, The Calculus of Friendship will be an unforgettable journey.
0691134936
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Calculus, Multivariable
William G. McCallum, Daniel E. Flath, Andrew M. Gleason, Sheldon P. Gordon, Patti Frazer Lock, David Mumford, Deborah Hughes-Hallett, Brad G. Osgood, Douglas Quinney, Wayne Raskind, Jeff Tecosky-Feldman, Joe B. Thrash, Thomas W. Tucker
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The new edition exhibits the same strengths from earlier editions including the Rule of Four, an emphasis on modeling, exposition that students can read and understand and a flexible approach to technology.
* The conceptual and modeling problems, praised for their creativity and variety, continue to motivate and challenge students.
0471409529
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Calculus, Multivariable
William G. McCallum, Daniel E. Flath, Andrew M. Gleason, Sheldon P. Gordon, Patti Frazer Lock, David Mumford, Deborah Hughes-Hallett, Brad G. Osgood, Douglas Quinney, Wayne Raskind, Jeff Tecosky-Feldman, Joe B. Thrash, Thomas W. Tucker
|
The new edition exhibits the same strengths from earlier editions including the Rule of Four, an emphasis on modeling, exposition that students can read and understand and a flexible approach to technology.
* The conceptual and modeling problems, praised for their creativity and variety, continue to motivate and challenge students.
0471409529
Instructor's Manual with Sample Exams, Instructor's Solution Manual, Orientation Video, Workshop Video, Calculus Project Book, Student's Solution Manual, Answer Manual, Discovering Calculus with Derive and Univ. of Arizona Software Manual available.
0471585300
A major complaint of professors teaching calculus is that students don't have the appropriate background to work through the calculus course successfully. This text is targeted directly at this underprepared audience. This is a single-variable (2-semester) calculus text that incorporates a conceptual re-introduction to key precalculus ideas throughout the exposition as appropriate. This is the ideal resource for those schools dealing with poorly prepared students or for schools introducing a slower paced, integrated precalculus/calculus course.
0201709295
The acclaimed Calculus: Concepts and Applications is now available in a new edition, revised to reflect important changes in the Advanced Placement curriculum, and updated to incorporate feedback from instructors throughout the U.S.
With over 40 years of experience teaching AP Calculus, Paul Foerster developed Calculus: Concepts and Applications with the high school student in mind, but with all the content of a college-level course. Like the previous edition, the second edition follows the AP Calculus curriculum for both AB and BC levels.
In Calculus: Concepts and Applications, students start off with calculus! Review of precalculus occurs at various points when it?s needed. The text combines graphing-calculator technology with a unique, real-world application approach, and presents calculus as a study of just four fundamental concepts: limits, derivatives, definite integrals, and indefinite integrals. Students learn these concepts using algebraic, numerical, graphical, and verbal approaches. As a result, students with a wider range of abilities can be successful in calculus, not just those who are strong in algebra. The accompanying set of Explorations in the Instructor?s Resource Book, designed for cooperative group work, gives students hands-on experience with new topics before they are formally introduced.
In this new edition, derivatives of transcendental functions, related rates, as well as area and volume applications of the definite integral are introduced earlier. Additionally, the Instructor?s Resource Book includes projects utilizing the CBL?, The Geometer?s Sketchpad ", and Fathom Dynamic Statistics? software, giving students extended opportunities to explore and understand calculus in depth.
1559531177
Calculus teachers recognize Calculus as the leading resource among the "reform" projects that employ the rule of four and streamline the curriculum in order to deepen conceptual understanding. The fifth edition uses all strands of the "Rule of Four" - graphical, numeric, symbolic/algebraic, and verbal/applied presentations - to make concepts easier to understand. The book focuses on exploring fundamental ideas rather than comprehensive coverage of multiple similar cases that are not fundamentally unique. Readers will also gain access to WileyPLUS, an online tool that allows for extensive drills and practice. Calculus teachers will build on their understanding in the field and discover new ways to present concepts to their students.
0470089148
Unit 1: Foundations for Functions. Unit 2: Linear Functions. Unit 3: Polynomials and Nonlinear Functions. Unit 4: Advanced Expressions and Data Analysis. Standards Review. 755 pages.
B001942FPY
StudentWorks Plus CD-ROM combines the complete interactive Student Edition with a page-by-page audio reading of the text so students can both listen and read the book at the same time. Also included are all of the student worksheets and Spanish audio summaries.
0078786126
The Practice Workbook mimics the computational and verbal problems in each lesson at an average level providing more challenging problems for students who are moving at a regular or faster pace.
0078790476
Skills Practice Workbook provides ample exercises to help students develop computational skills, lesson by lesson.
0078790492
The Practice Workbook mimics the computational and verbal problems in each lesson at an average level providing more challenging problems for students who are moving at a regular or faster pace.
007879045X
Algebra 1 California Mathematics Standards, Practice by Chapter. Four Periodic Assessments. Diagnostic Test. Practice by Standards. Standards Assessment.
0078795362
Contents Unit 1 - Foundations for Functions Unit 2 - Linear Functions Unit 3 - Polynomials and Nonlinear Functions Unit 4 - Advanced Expressions and Data Analysis Standards Review
0078778522
Assessment Background Information. Rubrics. Beginning, Mid, and end of year Assessment Masters. Mastery checkpoint Masters. Speed Test Masters. Pretest Masters. Individual Oral assessment Masters. Daily Quizzes Masters. Chapter Test Masters. Benchmark Test Masters. Assessment Recording Forms. STudent and Family Engagement Survey Masters. Answers for all Assessments. 395 pages.
0076127907
Contents Includes: * Diagnostic Placement Tests for Grades K through Algebra 2 * Scoring guides to simplify placement decisions * Learning objectives correlated to California Mathematics Content Standards * Learning objectives correlated to California Mathematics Content Standards * Diagnostic chart with suggestions for intervention and remediation * Suggested intervention materials
0078789001
A reference book for students to include: mathematical topcs, photo essay on math, calculator use, tables and charts to summarize info, glossary, answer key, and index. This reference book also contains an American Tour of California to include: mining, weather, agriculture, Salton Sea, LA Marathon, California highway congestion, Port of LA, and travelers to California.
0076098281
Unit 7: Fractions and their Uses; Chance and Probability. Unit 8: Perimeter and Area. Unit 9: Fractions, Decimals, and Percents. Unit 10: Reflections and Symmetry. Unit 11: 3-D Shapes, Weight, Volume, and Capacity. Unit 12: Rates.
0076098206
Unit 1: Naming and Constructing Geometric Figures. Unit 2: Using Numbers and Organinzing Data. Unit 3: Multiplication and Division; Number Sentences and Algebra. Unit 4: Decimals and their Uses. Unit 5: Big Numbers, Estimation, and Computation. Unit 6: Division; Map Reference frames; Measures of Angles
0076098192
Unit 7: Exponents and Negative Numbers. Unit 8: Fractions and Ratios. Unit 9: Coordinates, Area, Volume, and Capacity. Unit 10: Using Data; Algebra Concepts and Skills. Unit 11: Volume. Unit 12: Probability, Ratios, and Rates.
0076098303
Unit 1: Number Theory. Unit 2: Estimation and Computation. Unit 3: Geometry Explorations and the American Tour. Unit 4: Division. Unit 5: Fractions, Decimals, and Percents. Unit 6: Using Data; Addition and Subtraction of fractions.
007609829X
~Each of the 100 Transparencies Includes: *A short quiz over the previous lesson or chapter for each lesson in the Student Edition *A question on each transparency in multiple-choice format *Answers to all questions ~Additional Assessment Opportunities at glencoe.com: *Self-Check Quizzes *Standardized Test Practice *Chapter Test Practice
0078784832
2007 Glencoe Mathematics California Mathematics Grade 6 Chapter 2 Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 2 Tests ~Extended-Response Test ~Standardized Test Practice] *All Answers Included
007878297X
2008 Glencoe Mathematics California Mathematics Grade 6 Chapter 9 Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 9 Tests ~Extended-Response Test ~Standardized Test Practice] *All Answers Included
0078783046
2008 Glencoe Mathematics California Mathematics Grade 6 Chapter 10 Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 10 Tests ~Extended-Response Test ~Standardized Test Practice] *All Answers Included
0078783054
2008 Glencoe Mathematics California Mathematics Grade 6 Chapter 11 Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 11 Tests ~Extended-Response Test ~Standardized Test Practice] *All Answers Included
0078783062
2008 Glencoe Mathematics California Mathematics Grade 6 Chapter 12 Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 12 Tests ~Extended-Response Test ~Standardized Test Practice] *All Answers Included
0078783070
2008 California Mathematics Grade 6 Noteables Interactive Study Notebook with Foldables (CA)(P) by Dinah Zike ***A Note-Taking Guide for Every Lesson in the Student Edition ***Contents *Build Vocabulary *Allow students to include vocabulary in their notes *Foldables *Help students creat 3-D study organizers. *Are You Ready for the Chapter Test? *Helps students assess their readiness
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A note-taking guide for every lesson in the Student Edition Noteables allow students to: *Build vocabulary *Organize and take notes *Work out examples and exercises *Review for chapter test
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~Contents Include: *100 worksheets - one for each lesson
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Year of publication is either 2007 or 2008 (not specified by publisher).
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~Includes: *Grade 6 California Mathematics Standards *Practice by Chapter *Four Periodic Assessments
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~Contents Include: *100 worksheets - one for each lesson
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2007 Glencoe/McGraw-Hill California Mathematics Grade 7 5-Minute Check Transparencies with California Standards Practice (CA)(P) ***Each of the 99 Transparencies Includes: *A Short Quiz over the Previous Lesson or Chapter for Each Lesson in the Student Edition, *A Question on Each Transparency in Multiple-Choice Format, *Answers to All Questions ***Additional Assessment Opportunities at glencoe.com: *Self-Check Quizzes, *Standardized Test Practice, & *Chapter Test Practice ***ISBN-13: 9780078784842 ***Condition: New ***Pages: 99 Transparencies
0078784840
Includes: Chapter Resources Student-Built Glossary Family Letter Family Activity Anticipation Guide Leveled Lesson Resources Lesson Reading Guide Study Guide and Intervention Skills Practice Practice Word Problem Practice Enrichment Technology Resources Graphing Calculator Activity Calculator Activity Spreadsheet Activity Assessment Resources Practice Answer Sheet for California Standards Practice 4 Quizzes Mid-Chapter Test Vocabulary Test Leveled Chapter 1 Tests Extended-Response Test Standardized Test Practice ALL ANSWERS INCLUDED
0078783089
2007 Glencoe Mahematics California Mathematics Grade 7 Chapter 2 [Algebra: Rational Numbers] Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 2 Tests ~Extended-Response Test ~Standardized Test Practice] *All Answers Included ***ISBN-13: 9780078783098 ***Condition: New ***Pages: 41
0078783097
2007 Glencoe Mathematics California Mathematics Grade 7 Chapter 3 [Real Numbers and the Pythagorean Theorem] Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 3 Tests ~Extended-Response Test ~Standardized Test Practice ~Unit 1 Test] *All Answers Included ***ISBN-13: 9780078783104 ***Condition: New ***Pages: 110
0078783100
2007 Glencoe Mathematics California Mathematics Grade 7 Chapter 4 [Proportions and Similarity] Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 4 Tests ~Extended-Response Test ~Standardized Test Practice] *All Answers Included ***ISBN-13: 9780078783111 ***Condition: New
0078783119
2007 Glencoe Mathematics California Mathematics Grade 7 Chapter 5 [Percent] Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 5 Tests ~Extended-Response Test ~Standardized Test Practice ~Unit 2 Test] *All Answers Included ***ISBN-13: 9780078783128 ***Condition: New ***Pages: 128
0078783127
2007 Glencoe Mathematics California Mathematics Grade 7 Chapter 6 [Geometry and Spatial Reasoning] Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 6 Tests ~Extended-Response Test ~Standardized Test Practice] *All Answers Included ***ISBN-13: 9780078783135 ***Condition: New ***Pages: 103
0078783135
2007 Glencoe Mathematics California Mathematics Grade 7 Chapter 7 [Measurement: Area and Volume] Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 7 Tests ~Extended-Response Test ~Standardized Test Practice ~Unit 3 Test] *All Answers Included ***ISBN-13: 9780078783142 ***Condition: New ***Pages: 128
0078783143
2007 Glencoe Mathematics California Mathematics Grade 7 Chapter 8 [Algebra: More Equations and Inequalities] Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 8 Tests ~Extended-Response Test ~Standardized Test Practice] *All Answers Included ***ISBN-13: 9780078783159 ***Condition: New ***Pages: 113
0078783151
2007 Glencoe Mathematics California Mathematics Grade 7 Chapter 9 [Algebra: Linear Functions] Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 9 Tests ~Extended-Response Test ~Standardized Test Practice] *All Answers Included ***ISBN-13: 9780078783166 ***Condition: New ***Pages: 115
007878316X
2007 Glencoe Mathematics California Mathematics Grade 7 Chapter 10 [Algebra: Nonlinear Functions and Monomials] Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 10 Tests ~Extended-Response Test ~Standardized Test Practice ~Unit 4 Test] *All Answers Included ***ISBN-13: 9780078783173 ***Condition: New ***Pages: 115
0078783178
2007 Glencoe Mathematics California Mathematics Grade 7 Chapter 11 [Statistics] Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 11 Tests ~Extended-Response Test ~Standardized Test Practice] *All Answers Included ***ISBN-13: 9780078783180 ***Condition: New ***Pages: 116
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2007 Glencoe Mathematics California Mathematics Grade 7 Chapter 12 [Looking Ahead to Grade 8: Probability] Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 12 Tests ~Extended-Response Test ~Standardized Test Practice ~Unit 5 Test] *All Answers Included ***ISBN-13: 9780078783197 ***Condition: New ***Pages: 88
0078783194
2007 Glencoe/McGraw-Hill California Mathematics Grade 7 Noteables Interactive Study Notebook with Foldables (CA)(P) by Dinah Zike ***A Note-Taking Guide for Every Lesson in the Student Edition ***Noteables Allows Students to: *Build Vocabulary *Organize and Take Notes *Work out Examples and Exercises *Review for Chapter Tests ***ISBN-13: 9780078792670 ***Condition: New ***Pages: 322
0078792673
2007 Glencoe/McGraw-Hill California Mathematics Grade 7 Skills Practice Workbook (CA)(P) Contents Include: 99 WorksheetsOne for Each Lesson ***ISBN-13: 9780078788840 ***Condition: New ***Pages: 99
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2007 Glencoe/McGraw-Hill California Mathematics Grade 7 Study Guide and Intervention Workbook (CA)(P) Contents Include: 99 WorksheetsOne for Each Lesson ***ISBN-13: 9780078788826 ***Condition: New ***Pages: 99
007878882X
2007 Glencoe/McGraw-Hill {A}California Standard Review Series Mastering the California Mathematics Standards Grade 7 Teacher Edition(CA)(TE)(P) Contains: *Grade 7 California Mathematics Standards *Diagnostic Test *Practice by Standard *Standards Assessment {B}California Mathematics Grade 7 Standards Practice and Periodic Assessments Teacher Edition (CA)(TE)(P) Includes: *Grade 7 Clifornia Mathematics Standards *Practice by Chapter *Four Periodic Assessment / Complete Book ***ISBN-13: 9780078795343 ***Condition: New
0078795346
2007 Glencoe/McGraw-Hill California Mathematics Grade 7 Teaching Mathematics with Manipulatives (CA)(P) Contents Include: *Masters for Easy-to-Make Manipulatives, *Teaching Notes and Overview for Chapters in Glencoe California Mathematics, Grade 7, *Recording Sheet for Each Full-Page Lab in the Student Edition, *Overhead Manipulative Activities, & *Mini-Projects ***ISBN-13: 9780078788918 ***Condition: New ***Pages: 106
0078788919
2007 Glencoe/McGraw-Hill California Mathematics Grade 7 Word Problem Practice Workbook (CA)(P) Contents Include: 99 WorksheetsOne for Each Lesson ***ISBN-13: 9780078788888 ***Condition: New ***Pages: 99
0078788889
2007 Glencoe/mcGraw-Hill California Mathematics Grade 7 Practice Workbook (CA)(P) Contents Include: 99 WorksheetsOne for Each Lesson ***ISBN-13: 9780078788864 ***Condition: New ***Pages: 99
0078788862
322 pages. A Note-taking Guide for every Lesson in the Student Edition. Build Your Vocabulary: Allows Students to include Vocabulary in their Notes. Foldables: Help Students create 3-D Study Organizers. Bringing It All Together: Helps Students review for the Chapter Test. Are You Ready For The Chapter Test?: Helps Students assess their Readiness.
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Version 1.2. Textbook, Audio, Workbooks, and more. StudentWorks Plus CD-ROM combines the complete interactive Student Edition with a page-by-page audio reading of the text so students can both listen and read the book at the same time. Also included are all of the student worksheets and Spanish audio summaries.
0078786436
California Mathematics Concepts, Skills and Problem Solving 6 Super DVD * Windows/Macintosh * Disc 1, Units 1-2, Chapters 1-6
0078786495
Unit 4: Algebraic Thinking: Linear and Nonlinear Functions. *8: Algebra: More equations and inequalities. *9 Algebra: Linear Functions. *10 Algebra: Nonlinear Functions and Monomials. Unit 5: Statistics, Data Analysis, and Probility. *11 Statistics.
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Unit 1: Number and Operations: Rational and Real Numbers. Unit 2: Patterns, Relationships, and Algebraic Thinking. Unit 3: Geometry and Measurement.
0078778514
Start Smart Unit 1 - Algebra and Functions Unit 2 - Number Sense: Franctions Unit 3 - Algebra and Number Sense: Proportions and Percents Unit 4 - Statistics, Data Analysis, and Probability Unit 5 - Geometry and Measurement Standard Review
0078778484
number operations Rational & Real Numbers Patterns: Relationships & Algebraic Thinking Geometry & Measurements Algebraic Thinking: Linear & non-Linear Functions Statics: Data Analysis & Probability
0078778506
Extra Practice activities for Real Math Lesson Concepts. 146 pages.
0076127575
Practice activities for each of the California Math Standards. Diagnostic for Student Progress in Math Proficiency. 135 pages.
0076145883
"An extremely ingenious book which abounds in problems that will keep the reader busy for hours."Manchester Guardian One of England's greatest inventors of mathematical puzzles, Henry Dudeney (1847-1930) had a talent for finding solutions to problems that seemed unsolvable. This book includes 110 of his puzzles, not as individual problems but as incidents in connected stories. The first 31 are amusingly posed by pilgrims in Chaucer's Canterbury Tales. Additional puzzles are presented using different characters in other venues. Many require only the ability to exercise logical or visual skills; others, like the Ribbon Problem or The Riddle of St. Edmonsbury, offer a stimulating challenge to the mathematically advanced. Solutions included.
048620474X
Stimulating collection of over 300 unusual problems involving equations and inequalities, Diophantine equations, number theory, quadratic equations, logarithms and more. Problems range from easy to difficult. Detailed solutions, as well as brief answers, for all problems are provided.
0486691489
Stimulating collection of unusual problems dealing with congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and many other topics. Arranged in order of difficulty. Detailed solutions.
0486691543
A compelling journey through history, mathematics, and philosophy, charting humanity’s struggle against randomness
Our lives are played out in the arena of chance. However little we recognize it in our day-to-day existence, we are always riding the odds, seeking out certainty but settling—reluctantly—for likelihood, building our beliefs on the shadowy props of probability. Chances Are is the story of man’s millennia-long search for the tools to manage the recurrent but unpredictable—to help us prevent, or at least mitigate, the seemingly random blows of disaster, disease, and injustice. In these pages, we meet the brilliant individuals who developed the first abstract formulations of probability, as well as the intrepid visionaries who recognized their practical applications—from gamblers to military strategists to meteorologists to medical researchers, from blackjack to our own mortality.
0143038346
Chapter Resoures. Leveled Lesson Resources. Assessment Resources. All Answers Included.
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Analyzing both entertainment and news media, this volume grapples with such issues as the ways in which the media frame diversity-related themes, transmit values concerning diversity, contribute to stereotypes, and influence thinking about race, religion or sexual orientation.
0807739375
Math circles provide a setting in which mathematicians work with secondary school students who are interested in mathematics. This form of outreach, which has existed for decades in Russia, Bulgaria, and other countries, is now rapidly spreading across the United States as well. The first part of this book offers helpful advice on all aspects of math circle operations, culled from conversations with over a dozen directors of successful math circles. Topics include creative means for getting the word out to students, sound principles for selecting effective speakers, guidelines for securing financial support, and tips for designing an exciting math circle session. The purpose of this discussion is to enable math circle coordinators to establish a thriving group in which students can experience the delight of mathematical investigation. The second part of the book outlines ten independent math circle sessions, covering a variety of topics and difficulty levels. Each chapter contains detailed presentation notes along with a useful collection of problems and solutions. This book will be an indispensable resource for any individual involved with a math circle or anyone who would like to see one begin in his or her community. Sam Vandervelde teaches at St. Lawrence University. He launched the Stanford Math Circle and also writes and coordinates the Mandelbrot Competition, a math contest for high schools.
082184752X
Math circles provide a setting in which mathematicians work with secondary school students who are interested in mathematics. This form of outreach, which has existed for decades in Russia, Bulgaria, and other countries, is now rapidly spreading across the United States as well. The first part of this book offers helpful advice on all aspects of math circle operations, culled from conversations with over a dozen directors of successful math circles. Topics include creative means for getting the word out to students, sound principles for selecting effective speakers, guidelines for securing financial support, and tips for designing an exciting math circle session. The purpose of this discussion is to enable math circle coordinators to establish a thriving group in which students can experience the delight of mathematical investigation. The second part of the book outlines ten independent math circle sessions, covering a variety of topics and difficulty levels. Each chapter contains detailed presentation notes along with a useful collection of problems and solutions. This book will be an indispensable resource for any individual involved with a math circle or anyone who would like to see one begin in his or her community. Sam Vandervelde teaches at St. Lawrence University. He launched the Stanford Math Circle and also writes and coordinates the Mandelbrot Competition, a math contest for high schools.
082184752X
What adds up to lots of fun and tests how sharp you really are at numbers? This enormous volume of math puzzles. There are mind bogglers of every type, from amazing "magic" number tricks to beautiful geometric designs, and plenty of them, too. Can you take six pencils and arrange them so that they form four equal triangles? Are there ever 1,000,000 consecutive composite numbers? Start with puzzles that are fairly easy, and work your way up to the truly challenging ones. Along the way, there are tricks and hints to make you look like a whiz.
1586636839
Classroom Research is designed for use in faculty discussion groups, workshops, and seminars to prepare discipline-oriented faculty for the Scholarship of Teaching and Learning. The book's real-life case studies illustrate basic principles of learning and provide provocative materials for discussion along with practical suggestions for research that can be conducted by faculty from all disciplines in their own classrooms.
0787902888
Classroom Research is designed for use in faculty discussion groups, workshops, and seminars to prepare discipline-oriented faculty for the Scholarship of Teaching and Learning. The book's real-life case studies illustrate basic principles of learning and provide provocative materials for discussion along with practical suggestions for research that can be conducted by faculty from all disciplines in their own classrooms.
0787902888
Classroom Research is designed for use in faculty discussion groups, workshops, and seminars to prepare discipline-oriented faculty for the Scholarship of Teaching and Learning. The book's real-life case studies illustrate basic principles of learning and provide provocative materials for discussion along with practical suggestions for research that can be conducted by faculty from all disciplines in their own classrooms.
0787902888
In his first book since the bestselling Fermat's Enigma, Simon Singh offers the first sweeping history of encryption, tracing its evolution and revealing the dramatic effects codes have had on wars, nations, and individual lives. From Mary, Queen of Scots, trapped by her own code, to the Navajo Code Talkers who helped the Allies win World War II, to the incredible (and incredibly simple) logisitical breakthrough that made Internet commerce secure, The Code Book tells the story of the most powerful intellectual weapon ever known: secrecy.
Throughout the text are clear technological and mathematical explanations, and portrayals of the remarkable personalities who wrote and broke the world's most difficult codes. Accessible, compelling, and remarkably far-reaching, this book will forever alter your view of history, what drives it, and how private that e-mail you just sent really is.
0385495323
“A profusely illustrated, bemusingly unorthodox introduction to math.”—Booklist A book for the eternally curious, Coincidences fuses a professor’s understanding of the hidden mathematical skeleton of the universe with the sensibility of a stand-up comedian, making life’s big questions accessible and compelling. Each chapter opens with a surprising insight—not a mathematic formula, but a common observation. From there, the authors leapfrog over math and anecdote toward profound ideas about nature, art, and music. Coincidences is a book for lovers of puzzles and posers of outlandish questions, lapsed math aficionados and the formula-phobic alike.
0393329313
“A profusely illustrated, bemusingly unorthodox introduction to math.”—Booklist A book for the eternally curious, Coincidences fuses a professor’s understanding of the hidden mathematical skeleton of the universe with the sensibility of a stand-up comedian, making life’s big questions accessible and compelling. Each chapter opens with a surprising insight—not a mathematic formula, but a common observation. From there, the authors leapfrog over math and anecdote toward profound ideas about nature, art, and music. Coincidences is a book for lovers of puzzles and posers of outlandish questions, lapsed math aficionados and the formula-phobic alike.
0393329313
Fourteen lessons explore estimation, word problems, multiplication, fractions, patterns, statistics, probability, geometry, and measurement. This book presents a lively, readable classroom vignette that describes Marilyn Burns's unique and inspiring approach to teaching problem-solving lessons.
0941355004
Fourteen lessons explore estimation, word problems, multiplication, fractions, patterns, statistics, probability, geometry, and measurement. This book presents a lively, readable classroom vignette that describes Marilyn Burns's unique and inspiring approach to teaching problem-solving lessons.
0941355004
Seventeen lessons that provide experiences with sorting, number sense, graphing, geometry, measurement, probability, and more. A lively readable classroom vignettes that describes Marilyn Burns's unique and inspiring approach to teaching problem-solving lessons.
0941355012
Seventeen lessons that provide experiences with sorting, number sense, graphing, geometry, measurement, probability, and more. A lively readable classroom vignettes that describes Marilyn Burns's unique and inspiring approach to teaching problem-solving lessons.
0941355012
Each book in this three-book series is filled with practical, classroom-tested ideas for teaching mathematics with a problem-solving approach. All lessons encourage children to work cooperatively; explain their ideas; listen and question one another; and agree on solutions. Classroom vignettes describe lessons in vivid detail, and samples of actual student work are included throughout. Most lessons implement the use of manipulative materials to help children think about and reflect on mathematical ideas. Part I in this book includes six lessons that integrate ideas from different strands of the math curriculum, including algebra, measurement, probability, statistics, and logical reasoning. Part II provides two sample replacement units with a two- to three-week study focus, one on the area of a circle and the other on percents.
0941355039
The text is designed to help college algebra students with little confidence in their mathematical abilities and or limited high school preparation in mathematics. The objective is to give students sufficient math confidence and skills so that they can continue on in more advanced mathematics courses, such as precalculus or statistics, or in quantitatively based courses in other disciplines. Additionally, students will hopefully become intelligent consumers of quantitative information they will confront in their everyday lives. "Something to Think About" are short inserts scattered throughout the text. Instructors may wish to use the thought provoking questions that are provided to generate class discussion. A student solutions manual contains answers to alternate problems.
0471106992
The Vocabulary strand is designed to support the Oral Communication, Reading, and Writing strands by helping students develop the ability to understand and use the vocabulary in those strands which come from the Academic Word List (AWL). These books can be used as stand alone texts in a vocabulary class or as supplements in reading, writing, or oral communication classes.
0618230246
The Vocabulary strand is designed to support the Oral Communication, Reading, and Writing strands by helping students develop the ability to understand and use the vocabulary in those strands which come from the Academic Word List (AWL). These books can be used as stand alone texts in a vocabulary class or as supplements in reading, writing, or oral communication classes.
0618230254
The Vocabulary strand is designed to support the Oral Communication, Reading, and Writing strands by helping students develop the ability to understand and use the vocabulary in those strands which come from the Academic Word List (AWL). These books can be used as stand alone texts in a vocabulary class or as supplements in reading, writing, or oral communication classes.
0618230262
The Vocabulary strand is designed to support the Oral Communication, Reading, and Writing strands by helping students develop the ability to understand and use the vocabulary in those strands which come from the Academic Word List (AWL). These books can be used as stand alone texts in a vocabulary class or as supplements in reading, writing, or oral communication classes.
0618230270
Through students’ own voices and perspectives, this book reveals how and why some racial minorities achieve academic success, despite limited opportunity. Based on the experiences of Black, Latino, and Vietnamese urban high school students, the author provides a revealing comparative analysis that offers insight into how schools can create opportunities and safe learning environments where youth acquire real goals, expectations, and tangible pathways for success. Offering alternatives to current practices and structures of inequality that plague educational systems throughout the nation, this sociologically informed book:
* Takes a rare look at urban school success stories, instead of those depicting failure.
* Explores the social processes that enable racial minority youth to escape the unequal structures of urban schooling to perform well in school.
* Focuses on youth’s interpretations and reactions to the schooling process to determine how schools can empower youth and promote the social mobility of low-income urban populations.
0807746606
Written to improve algebra and problem-solving skills of students taking a calculus course, every chapter in this companion is keyed to a calculus topic, providing conceptual background and specific algebra techniques needed to understand and solve calculus problems related to that topic.
0534265928
This stand-alone supplement presents a comprehensive, multifaceted approach to reducing math anxiety and math avoidance. It includes strategies for recognizing the sources of math anxiety, managing and reducing anxiety, reducing internal psychological stumbling blocks, improving attitude toward mathematics, building confidence, and improving math study and test-taking skills. The author includes visualizations that let students rehearse for success in math, exercises that will enhance student learning styles, and strategies to improve math study and test-taking skills. Designed so students can ''jump in'' anywhere, this comprehensive workbook provides a variety of exercises and worksheets along with detailed explanations of methods to help ''math-anxious'' students deal with and overcome math fears.
0534188761
It's no stretch to claim that catapults are fun. Launch your students into a hands-on application of concepts such as torsion and elasticity as they learn the physics behind overcoming gravity and hurling objects through the air - SAFELY. Your students will get the additional benefit of a historical perspective (catapults were once a basic tool of war) as they consider design improvements in the process of projectile launching. By relating the effects of different force settings to distance projections, you can also introduce your students to the analysis of frequency distributions.
087355180X
Contemporary Abstract Algebra 7e, written by Joseph Gallian, a well-known active researcher and award-winning teacher upholds the text's reputation for providing students a solid introduction to traditional abstract algebra topics. The text includes concepts and methodologies used by working mathematicians, computer scientists, physicists and chemists.
0547165099
If It's on the CBEST, It's in This Book
We don't try to teach you everything there is to know about mathematics, reading, and writing –only the techniques you'll need to score higher on the CBEST. There's a big difference. In Cracking the CBEST, we'll teach you how to think like the test writers and
·Eliminate answer choices that look right but are planted to fool you
·Prepare for the new challenges of the revised CBEST
·Raise your score by mastering the critical analysis and evaluation area of the reading section
·Ace the math section by knowing what to expect
This book includes 2 full-length practice CBEST exams. All of our practice questions are just like the ones you’ll see on the actual CBEST, and we fully explain every solution.
0375762639
PROVEN TECHNIQUES FOR SCORING HIGHER FROM THE WORLD'S #1 TEST-PREP COMPANY
We Know the GRE Math Subject Test
The experts at The Princeton Review study the GRE Math Test to make sure you get the most up-to-date, thoroughly researched book possible.
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Each year we help more than two million students score higher with our courses, bestselling books, and award-winning software.
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Students who take our six-week GRE course have an average score increase of 212 points (verified by International Communications Research). The proven techniques we teach in our courses are in this book.
And If It's on the GRE Math Subject Test, It's In This Book
We don't try to teach you everything there is to know about mathonly what you'll need to know to score higher on the GRE Math Test. There's a big difference. In Cracking the GRE Math, we'll teach you how to think like the test-makers and
*Improve your score by focusing on the material most likely to appear on the test
*Test your knowledge with review questions for each math topic covered
*Practice your test-taking skills on a comprehensive sample test
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The GRE subject tests are among the most difficult standardized exams. Rather than testing general problem-solving skills, they require highly specialized knowledge.
The experts at The Princeton Review have thoroughly research each subject test to provide students with the most thorough, up-to-date information available. Students don’t need to relearn the entire histories of their fields—just what they need to know to earn high scores on the exams.
Each guide includes one full-length practice exam, complete with comprehensive explanations for every solution.
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Are you hoping to pursue a master’s degree or Ph.D.? If so, the GRE will probably be an important part of your graduate school application. You’ll find everything you need to prepare for this crucial test in Cracking the GRE. This new 2010 edition of our popular guide offers proven techniques from the test prep experts at The Princeton Review. It includes over 300 practice questions in the book and exclusive free access to 2 practice tests, additional practice questions, and expert advice online.
In Cracking the GRE we’ll bring you the key strategies and skills you need to ace the Verbal, Math, and Essay sections. We’ll teach you how to think like the test writers and
•Master specific strategies for answering every question type, including the newer question types like “Enter a Number”
•Solve even the toughest questions in Text Completions, Reading Comprehension, Algebra, and more
•Practice, practice, practice with questions just like those you’ll see on the real GRE, and learn from your mistakes with detailed explanations for all answers
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Cracking the PRAXIS II: NTE, 2nd Edition doesn't try to teach you everything you need to know about literature, math, social studies or science only what you need to know to score high on the PRAXIS II: NTE. There's a big difference. In this guide The Princeton Review will teach you how to think like the test-makers and:
Eliminate answer choices that look right but are planted to fool you
Solve PRAXIS II: NTE algebra problems by "plugging in" numbers in place of letters
Use "process of elimination" to select the right answers in the literature and fine-arts section, even if you are unfamiliar with the text or the painting in question
Ace the social studies and sciences sections without memorizing hundreds of facts
Also included are a full-length sample test and an audio-CD that simulates the listening portion of the test.
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This collection of short detective stories provides an exciting new challenge for young adults who have graduated beyond the ever-popular Encyclopedia Brown mysteries series and are interested in applying high school level mathematics and physics to solve problems. The main character, Ravi, is a 14-year-old math genius who helps the local police solve cases. Each chapter is a detective story with a mathematical puzzle at its core that Ravi is able to solve; the author invites the reader to solve the case on his or her own and then explains the mathematics used to find the solution to the puzzle.
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Many mathematicians have been drawn to mathematics through their experience with math circles: extracurricular programs exposing teenage students to advanced mathematical topics and a myriad of problem-solving techniques and inspiring in them a lifelong love for mathematics. Founded in 1998, the Berkeley Math Circle (BMC) is a pioneering model of a U.S. math circle, aspiring to prepare our best young minds for their future roles as mathematics leaders. Over the last decade, 50 instructors - from university professors to high school teachers to business tycoons - have shared their passion for mathematics by delivering more than 320 BMC sessions full of mathematical challenges and wonders.Based on a dozen of these sessions, this book encompasses a wide variety of enticing mathematical topics: from inversion in the plane to circle geometry; from combinatorics to Rubik's cube and abstract algebra; from number theory to mass point theory; from complex numbers to game theory via invariants and monovariants. The treatments of these subjects encompass every significant method of proof and emphasize ways of thinking and reasoning via 100 problem-solving techniques.Also featured are 300 problems, ranging from beginner to intermediate level, with occasional peaks of advanced problems and even some open questions. The book presents possible paths to studying mathematics and inevitably falling in love with it, via teaching two important skills: thinking creatively while still "obeying the rules," and making connections between problems, ideas, and theories. The book encourages you to apply the newly acquired knowledge to problems and guides you along the way, but rarely gives you ready answers. "Learning from our own mistakes" often occurs through discussions of non-proofs and common problem-solving pitfalls.The reader has to commit to mastering the new theories and techniques by "getting your hands dirty" with the problems, going back and reviewing necessary problem-solving techniques and theory, and persistently moving forward in the book. The mathematical world is huge: you'll never know everything, but you'll learn where to find things, how to connect and use them. The rewards will be substantial.
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This leading dictionarynow in its third editionoffers wide-ranging and authoritative coverage of the earth sciences and related topics. In more than 6,250 clear and accessible entries, it covers geology, oceanography, paleontology, mineralogy, volcanology, and planetary science as well as climatology, geochemistry, and petrology. The third edition is fully updated and includes additional coverage of process geomorphology and physical geography, plus more than 50 new line drawings to accompany descriptions of forms and processes. The new edition also features web links accessed via a companion website, featuring additional information that is regularly updated to ensure that it stays fresh. Finally, the book has a revised bibliography and a number of appendices that include a revised geological time scale, stratigraphic units, lunar and Martian time scales, wind-strength scales, and SI units. It is an essential reference for students of geography, geology, and earth sciences and in related disciplines.
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This practical, hands-on resource is packed with tested tips, techniques, tools, and activities such as "27 Power-Packed Time-Management Tips for Students," "Monitoring On the Run: 20 Quick Techniques," "Missing Work Reminder List," and "50 Sponge Activities to Keep Students Engaged in Learning All Period Long." Includes over 50 ready-to-use-or-adapt forms, checklists and letters.
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...will spark new excitement in your geometry classroom, involving your students and making them active participants in their own learning
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Once upon a time there was a sensible straight line who was hopelessly in love with a beautiful dot. But the dot, though perfect in every way, only had eyes for a wild and unkempt squiggle. All of the line's romantic dreams were in vain, until he discovered . . . angles! Now, with newfound self-expression, he can be anything he wants to bea square, a triangle, a parallelogram. . . . And that's just the beginning!
First published in 1963 and made into an Academy Award-winning animated short film, here is a supremely witty love story with a twist that reveals profound truths about relationshipsboth human and mathematicalsure to tickle lovers of all ages.
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Once upon a time there was a sensible straight line who was hopelessly in love with a beautiful dot. But the dot, though perfect in every way, only had eyes for a wild and unkempt squiggle. All of the line's romantic dreams were in vain, until he discovered . . . angles! Now, with newfound self-expression, he can be anything he wants to bea square, a triangle, a parallelogram. . . . And that's just the beginning!
First published in 1963 and made into an Academy Award-winning animated short film, here is a supremely witty love story with a twist that reveals profound truths about relationshipsboth human and mathematicalsure to tickle lovers of all ages.
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With the born storyteller's command of narrative and imaginative approach, Leonard Mlodinow vividly demonstrates how our lives are profoundly informed by chance and randomness and how everything from wine ratings and corporate success to school grades and political polls are less reliable than we believe.
By showing us the true nature of chance and revealing the psychological illusions that cause us to misjudge the world around us, Mlodinow gives us the tools we need to make more informed decisions. From the classroom to the courtroom and from financial markets to supermarkets, Mlodinow's intriguing and illuminating look at how randomness, chance, and probability affect our daily lives will intrigue, awe, and inspire.
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CONTENTS INCLUDE: * Information to help you understand the different types of English Language Learners (ELL) * Strategies for creating a positive mathematics classroom environment for ELL students * Techniques for creating your own ELL model lessons for mathematics
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Why do people think Friday 13th is unlucky? How can you make a liar tell the truth? How many people in the world share your birthday? "Easy Questions, Evil Answers" provides the answers to all these questions and more. It's the perfect laugh-out-loud, boredom busting read for everyone who's ever wondered just how many footballs you can fit in a swimming pool and how long it takes to count to a million.
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Teaching Strategies for: * Assessment * Differentiated Instruction * English Learners * Literacy Strategies * Standards - Based Instruction * Ideal for Staff Development
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This elementary algebra text was developed in the spirit of the AMATYC standards for problem solving, modeling, connecting with other disciplines, technology, and calculus reform. Many traditional topics are included in the text, but the development and application of these topics is not traditional. This book takes a "less is best" approach and allows students to take an active role in the learning process through collaborative techniques, hands-on activities, and use of the graphing calculator as a problem-solving tool. Geometric examples and problems are integrated throughout the text. Students explore topics through various activities and use Calculator Based Laboratory (CBL) experiments to generate data describing real-world situations and applications.
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This is a custom edition for the College of Staten Island, City University of New York
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This is a custom edition for the College of Staten Island, City University of New York
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Written from the perspective of the applied mathematician, the latest edition of this bestselling book focuses on the theory and practical applications of Differential Equations to engineering and the sciences. Emphasis is placed on the methods of solution, analysis, and approximation. Use of technology, illustrations, and problem sets help readers develop an intuitive understanding of the material. Historical footnotes trace the development of the discipline and identify outstanding individual contributions. This book builds the foundation for anyone who needs to learn differential equations and then progress to more advanced studies.
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This leading K-8 math methods text has the most coverage of the NCTM standards, the strongest coverage of middle school mathematics, and the highest student approval of any text currently available. Elementary and Middle School Mathematics provides an unparalleled depth of ideas and discussion to help students develop a real understanding of the mathematics they will teach. John Van de Walle, one of the foremost experts on how children learn mathematics, finds that 80 percent of the students who purchase this book keep it for reference when they begin their professional teaching careers. This text reflects the NCTM Principles and Standards and the benefits of constructivist-or student-centered-mathematics instruction. Moreover, it is structured for maximum flexibility, offering 24 brief, compartmentalized chapters that may be mixed and matched to fit any course or teaching approach.
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Strategies for Working with STudents at all levels of English-Language Proficiency. Preview and Review Lessons for additional Language Support for all Real Math Lessons. Multilingual Vocabulary Card Masters. 165 pages.
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Only an elementary knowledge of math is needed to enjoy this entertaining compilation of brain-teasers. It includes a mixture of old and new riddles covering a variety of mathematical topics: money, speed, plane and solid geometry, probability, topology, tricky puzzles and more. Carefully explained solutions follow each problem. 65 black-and-white illustrations.
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Reflecting many of the concerns of NCTM's Principles and Standards for School Mathematics, the ninth edition of Error Patterns in Computation is the only book available that assists teachers with identifying typical error patterns, receiving feedback on their diagnosis, and gaining insight regarding why a child may have adopted an incorrect procedure. Two major causes of error patterns - over-generalizing and over-specializing - are discussed. Simple and well organized, this book explains common errors students make in computation in every math operation and with whole numbers, rational numbers, geometry and algebra. This book is an ideal resource for teachers of mathematics in education or special education at the elementary or middle school level.
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Test takers preparing to take the GRE (Graduate Record Exam) must command a high-level vocabulary to achieve a high score. This book is designed to teach the definitions of 800 words often appearing on the GRE while also familiarizing test takers with how the words are generally used in context. The book opens with a pretest that serves as a diagnostic, then presents the word list with extensive sentence-completion exercises. A following chapter discusses and analyzes essential word roots. The book concludes with a detailed post-test. Answers are given for all exercises and for all questions in the post-test.
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The world of elementary mathematics teaching is undergoing dramatic changes. Pressures from reform have come from professional organizations as well as from political voices and the general public. Teachers and teacher educators have shown a willingness to find better ways to teach elementary mathematics, but learning new ways is sometimes difficult. This book invites readers to observe the interactions between and among children and teachers. The second edition of this book presents the essentials of pertinent research, valued classroom methodology, and current practice in teaching elementary math. One of the book's goals is to show the reader the integration of the NCTM Standards throughout the book. Topics covered include: general procedures and concerns, organizational plans, planning for groups, number concepts, algorithms, fractions and decimals, ratio and proportion, percent and probability, measurement and geometry, and more. Teachers and teacher educators.
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This book introduces undergraduate students to the fundamentals of biology in mental processes.
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This book re-examines the dichotomy between the everyday and the disciplinary in mathematics and science education, and explores alternatives to this opposition from points of view grounded in the close examination of complex classroom events. It makes the case that students' everyday experience and knowledge in their entire manifold forms matter crucially in learning sciences and mathematics. The contributions of 13 research teams are organized around three themes: 1) the experiences of students in encounters with everyday matters of a discipline; 2) the concerns of curriculum designers, including teachers, as they design activities intended to focus on everyday matters of a discipline; and 3) the actions of teachers as they create classroom encounters with everyday matters of a discipline.
As a whole the volume reflects the shift in the field of educational research in recent years away from formal, structural models of learning toward emphasizing its situated nature and the sociocultural bases of teaching and learning. At least two trendsincreasing awareness that formal theories can be useful guides but are always partial and provisional in how they disclose classroom experiences, and the widespread availability of video and audio equipment that enables effortless recording of classroom interactionshave reoriented the field by allowing researchers and teachers to look at learning starting with complex classroom events rather than formal theories of learning. Such examinations are not meant to replace the work on general theoretical frameworks, but to ground them in actual complex events. This reorientation means that researchers and teachers can now encounter the complexity of learning and teaching as lived, human meaning-making experiences. Immersion in this complexity compels rethinking assumptions about the dichotomies that have traditionally organized the field's thinking about learning. Further, it has important implications for how the relationship between theory and practice in understanding teaching and learning is viewed.
Everyday Matters in Science and Mathematics: Studies of Complex Classroom Events is an important resource for researchers, teacher educators, and graduate students in mathematics and science education, and a strong supplemental text for courses in these areas and also in cognition and instruction and instructional design.
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This work and its accompanying ancillaries are designed to make algebra interesting and relevant to the student. The text adopts a problem-solving approach, where abstract ideas are motivated by real-world problems. The problems lie on a continuum from practising algebraic skills to open-ended, non-routine questions. The focus is shifted from learning a set of discrete mathematical rules to exploring how algebra is used in the social, physical, and life sciences. The aim of this work is to adequately prepare students for future advanced mathematics or other quantitative-based courses. Equally important, students will hopefully come to appreciate and use the power of algebra in answering questions about the world around us.
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How can parents help their children with math at home? With over 300 pages of lively activities, the classic FAMILY MATH book represents one of the greatest strides taken to involve parents in the mathematics education of their children. Using easy instructions and simple objects such as beans, blocks, pennies, buttons, and string, parents and kids solve problems together. FAMILY MATH is a rich resource of math curriculum including number and estimation, logical thinking, probability and statistics, geometry, measurement, and calculators. The stimulating games, puzzles, and projects entice kids in playful ways to master math concepts. Because this book reinforces the basic school curriculum, it is also a must for teachers. The book has a step-by-step description of how to organize a FAMILY MATH class in your community. For families with children five to twelve years old. Grades K-8. 318 pp
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How can parents help their children with math at home? With over 300 pages of lively activities, the classic FAMILY MATH book represents one of the greatest strides taken to involve parents in the mathematics education of their children. Using easy instructions and simple objects such as beans, blocks, pennies, buttons, and string, parents and kids solve problems together. FAMILY MATH is a rich resource of math curriculum including number and estimation, logical thinking, probability and statistics, geometry, measurement, and calculators. The stimulating games, puzzles, and projects entice kids in playful ways to master math concepts. Because this book reinforces the basic school curriculum, it is also a must for teachers. The book has a step-by-step description of how to organize a FAMILY MATH class in your community. For families with children five to twelve years old. Grades K-8. 318 pp
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Ages ten to fourteen are the gateway years to high school and college and are crucial to our children's advanced mathematics education. FAMILY MATH: Middle School Years contains provocative investigations to captivate older students. Together, families unlock the mystery of algebra with entertaining, nonthreatening activities. One favorite activity is called Flowerpots. By creating a garden with beans, squares, triangles, and circles, families practice the algebraic topic of solving simultaneous equations in two and three unknowns. Everyone will enjoy activities such as Maya Mathematics, Postage Problems, Four-Sock Drawers, and Math Behind the Trick Using this book will increase student readiness for high school mathematics course work. Parents will learn the answers to: Are there ways to help my children without being a math expert? and What are the implications of taking or not taking eighth grade algebra? For families, classroom teachers, and anyone interested ! in setting up a FAMILY MATH class. Grades 5-8.
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xn + yn = zn, where n represents 3, 4, 5, ...no solution
"I have discovered a truly marvelous demonstration of this proposition which this margin is too narrow to contain."
With these words, the seventeenth-century French mathematician Pierre de Fermat threw down the gauntlet to future generations. What came to be known as Fermat's Last Theorem looked simple; proving it, however, became the Holy Grail of mathematics, baffling its finest minds for more than 350 years. In Fermat's Enigmabased on the author's award-winning documentary film, which aired on PBS's "Nova"Simon Singh tells the astonishingly entertaining story of the pursuit of that grail, and the lives that were devoted to, sacrificed for, and saved by it. Here is a mesmerizing tale of heartbreak and mastery that will forever change your feelings about mathematics.
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The acclaimed book of practical advice from students to their teachers.
Since its initial publication in hardcover in 2003, Fires in the Bathroom has been through multiple printings and received the attention of teachers across the country. Now in paperback, Kathleen Cushman's groundbreaking book offers original insights into teaching teenagers in today's hard-pressed urban high schools from the point of view of the students themselves. It speaks to both new and established teachers, giving them firsthand information about who their students are and what they need to succeed.
Students from across the country contributed perceptive and pragmatic answers to questions of how teachers can transcend the barriers of adolescent identity and culture to reach the diverse student body in today's urban schools. With the fresh and often surprising perspectives of youth, they tackle tough issues such as increasing engagement and motivation, teaching difficult academic material, reaching English-language learners, and creating a classroom culture where respect and success go hand in hand.
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Edwin Abbott's beloved mathematical adventure novel Flatland (1884) is being introduced to a whole new generation of readers and viewers through Flatland: The Movie, a dramatic computer-animated adaptation starring Martin Sheen, Kristen Bell, Michael York, Tony Hale, and Joe Estevez. This book is the companion to the movieand the ultimate edition of the classic book on which it is based. A beautiful, large-format volume, Flatland: The Movie Edition includes: the full text of the original novel; the screenplay of the movie; essays on the making of the movie by the writers and filmmakersproducer Seth Caplan, director Jeffrey Travis, and director and animator Dano Johnson; color illustrations; and a new introduction by Thomas Banchoff, a Brown University mathematician and Flatland authority who served as an advisor to the filmmakers. By describing the challenges the filmmakers faced in updating a Victorian mathematical allegory for a new generation and transforming it into a compelling animated story, Flatland: The Movie Edition makes watching the movie and reading Abbott's book even more illuminating and enjoyable. You'll never think about the multiple dimensions of space in the same way again.
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For All Practical Purposes is the most effective and engaging textbook available for showing mathematics at work in areas with a direct impact on our lives (consumer products and advertising, politics, the economy, the Internet). It was the first, and remains the best, textbook for liberal arts students and for instructors who want to bring students the excitement of contemporary mathematical thinking and help their students think logically and critically. The new edition offers a number of changes designed to make the text more accessible than ever to a wider range of students and instructors.
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Fostering Algebraic Thinking is a timely and welcome resource for middle and high school teachers hoping to ease their students' transition to algebra.
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In Tools for Teaching, Dr. Jones describes the skills by which exceptional teachers make the classroom a place of success and enjoyment for both themselves and their students. Tools for Teaching integrates the management of discipline, instruction and motivation into a system that allows you to reduce the stress of teaching by preventing most management headaches. Dr. Jones helps you reduce student disruptions, backtalk, helpless handraising and dawdling while helping you increase responsible behavior, motivation and independent learning. These skills are made accessable by practical, down-to-earth language and many examples and illustrations that provide the next best thing to attending one of Dr. Jones' workshops. The second edition also includes an Overview DVD of Dr. Jones entire program; including how to use the Study Group Acitivity Guide, workshops, and parent videos.
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This book has been written to assist students preparing for a teaching career, experienced teachers, administrators, and all others interested in children and education to become more familiar with an active learning approach. In particular, we have tried to use mathematics to describe what distinguishes an active learning approach and how it might be implemented.
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This is a gripping account, full of surprises, of one of the greatest adventures in human thought, and at the same time a user-friendly introduction to many vital mathematical concepts. It is a global survey of the history of mathematics, suitable for people with no background in mathematics, as well as for the more informed reader or teacher. "From Five Fingers to Infinity" tells the story of the history of mathematics in the form of 114 articles, organised in a chronological and thematic manner. Together the articles cover all the most important areas, and can be read as a consistent narrative history. The articles are best by writers such as Carl Boyer, Howard Eves, Morris Kline, and Dirk Struik. Among the distinctive features of this volume are a multicultural treatment, with consideration of the mathematical accomplishments of traditional peoples, native Americans and others, not usually discussed in histories of mathematics; actual translations from early groundbreaking mathematical texts; a comprehensive review of Babylonian mathematical achievements; a sensitivity to the social and cultural context of mathematical endeavours; over 300 illustrations, and 18 "historical exhibits"; and informative introductions and pointers and extensive bibliographical information. Each article is short and self-contained. "From Five Fingers to Infinity" has been conceived and designed for three uses: enjoyable personal reading; as a general reference on the history of mathematics; and as a classroom text.
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The second in a series of systematic studies by a celebrated mathematician I. M. Gelfand and colleagues, this volume presents students with a well-illustrated sequence of problems and exercises designed to illuminate the properties of functions and graphs. (See below for details of other books in this series.) Since readers do not have the benefit of a blackboard on which a teacher constructs a graph, the authors abandoned the customary use of diagrams in which only the final form of the graph appears; instead, the book's margins feature step-by-step diagrams for the complete construction of each graph. The first part of the book employs simple functions to analyze the fundamental methods of constructing graphs. The second half deals with more complicated and refined questions concerning linear functions, quadratic trinomials, linear fractional functions, power functions, and rational functions. Unabridged republication of edition published by The M.I.T. Press, Cambridge, Massachusetts, 1969. Foreword. Introduction. Problems for Independent Solution.
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Completely revised edition of original 1914 publication under the title of English Synonyms and Antonyms, 515 pages.
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This test preparation book includes six full-length exams with detailed explanations modeled after the actual GRE in Mathematics. Knowledge of algebra, calculus, and introductory real variable theory is tested. Includes a comprehensive review of mathematics topics found on the exam. For mathematics students bound for graduate school.
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The Graduate Record Examinations (GRE) General Test consists of verbal, quantitative, and analytical writing sections. This book is the only test prep guide that contains questions and topics from actual tests administered worldwide. It contains verbal and quantitative questions from seven actual GRE General Tests and sample analytical writing topics from the complete pool of topics for the analytical writing measure. It includes information about the structure of the test, answering procedures, explanations of correct answers for verbal and quantitative questions, sample writing responses with scores, scoring information, a math review, and test-taking strategies.
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These pun-studded fables by a popular science writer make complicated mathematical concepts accessible and fun. Twelve essays take a playful approach to mathematics, investigating the topology of a warm blanket, the odds of beating a superior tennis player, and how to distinguish between fact and fallacy. 1991 edition.
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You don't have to learn math by yourself! Solving problems in groups is exciting, effective, and equitableit helps all students succeed in math. Get It Together is a collection of over 100 mathematics problems for groups of 26 students. The problems cover a wide range of math topics such as logic, functions, algebra, geometry, measurement, and number patterns at various levels of difficulty. Each problem has the same format: six clue cards provide the information needed to solve a problem. Since each member of the group has a different bit of information, everyone works together to arrive at a solution. In one problem, only some people get sick after eating a potluck meal. Was it the swamp chicken, the cheesecake, or something else? The group collaborates to discover which food was the culprit. This book is an excellent resource with teacher information on cooperative groups, assessment, problem solving and the use of manipulatives.
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Contents include: Masters for Easy-to-Make Manipulatives, Teaching Notes and Overview for chapters in Glencoe Algebra 1 and Glencoe Algebra 2, Recording sheet for each full-page lab in the Student Edition, Overhead Manipulative Activities, and Mini-Projects.
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Contents include: 24 real-life projects; Student worksheets for each project; and Differentiated instruction for learning disabled, physically handicapped, communicably disabled, behaviorally difficult, hearing impaired, and visually impaired.
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2007 Glencoe/McGraw-Hill Math Skills Maintenance Course 2 Workbook Teacher's Edition (TE)(P) Contents Include: *Practice for 36 Basic Math Skills Necessary for Student Success ***Skills Include: *Whole Number Operations, *Estimation, *Order of Operations, *Greatest Common Factor, *Decimal Operations, *Fraction Operations, *Identifying and Applying Properties, & *Measurement ***ISBN-13: 9780078788949 ***Condition: New ***Pages: 84
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Students explore this crucial topic in a wide variety of formats, from hands-on science activities and experiments to a simulation game, analysis of articles, a story about an island threatened by rising sea levels, and a world conference on global warming. The unit helps students see environmental problems from different points of view. Extensive background for the teacher is provided.
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2008 Glencoe Mathematics California Mathematics Grade 6 Chapter 3 Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 3 Tests ~Extended-Response Test ~Standardized Test Practice] *All Answers Included
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2008 Glencoe Mathematics California Mathematics Grade 6 Chapter 3 Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 3 Tests ~Extended-Response Test ~Standardized Test Practice] *All Answers Included
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2008 Glencoe Mathematics California Mathematics Grade 6 Chapter 4 Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 4 Tests ~Extended-Response Test ~Standardized Test Practice] *All Answers Included
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2008 Glencoe Mathematics California Mathematics Grade 6 Chapter 4 Resource Masters (CA)(P) Includes: *Chapter Resources: [~Student-Built Glossary ~Family Letter ~Family Activity ~Anticipation Guide] *Leveled Lesson Resources: [~Lesson Reading Guide ~Study Guide and Intervention ~Skills Practice ~Practice ~Word Problem Practice ~Enrichment] *Technology Resources: [~Graphing Calculator Activity ~Calculator Activity ~Spreadsheet Activity] *Assessment Resources: [~Practice Answer Sheet for California Standards Practice ~4 Quizzes ~Mid-Chapter Test ~Vocabulary Test ~Leveled Chapter 4 Tests ~Extended-Response Test ~Standardized Test Practice] *All Answers Included
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Illus. in full color. "Drawing on a Chinese form of storytelling with seven
shapes cut from a square of paper, Tompert recounts the tale of two fox
fairies. Parker's pen-and-watercolor art adds drama, while the tangram insets
will motivate children to try their own versions. Ingenious."Bulletin,
Center for Children's Books.
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The third level of a three-book series, Great Essays introduces students to the process of writing and teaches them to use logic for creating, organizing, and supporting their ideas. Students become familiar with process, development, and revision through relevant practice, while learning reading and writing skills and grammar and language usage. Twenty-five sample essays provide a range of rhetorical styles, examples of essay organization and cohesion, as well as a starting point for comprehension questions and discussion.
Each model essay includes brief pre- and post-reading questions that focus on features such as structure and rhetorical patterns. Sentence-level work helps students understand different lengths and types of construction and gives them practice combining shorter sentences into longer, cohesive ones. In addition, Language Focus sections help students learn to make accurate word choices and use writing devices such as transitional words and modals. At the end of every unit, students practice rhetorical modes with Original Writing assignments on a variety of topics. Writer's Notes present brief strategies that help students write effectively.Analyzing an Essay takes students through a series of questions that help them fully understand the different elements of an essay.Completing an Outline sections offer practice exercises to help develop organizational and supporting detail skills.Completing a Sample Essay asks students to finish an essay using their own ideas.Peer Editing Sheets use specific questions to guide students through their classmates' work and teach them how to constructively comment and offer suggestions for improvement.Web activity icons indicate additional exercises on the Internet that are directly related to information students are learning in the text and provide reinforcement of the concepts presented.
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The Great Math Experience is a collection of wonderful mathematics problems and ideas for their use in the middle school math classroom. Whether you are an experienced teacher or brand new, this book is sure to offer fresh ideas to help your students have a great math experience!
Each problem has been actually used in a real classroom.with great success. The book lists the areas of mathematics that a problem encompasses and offers advice on how to introduce it to the class. The author offers sample questions that foster deep mathematic discussions and typical student responses.
Students in grades 5 through 9 are sure to benefit from these non-traditional, fun mathematic problems, which stimulate the profound mathematical thought that educators seek.
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Internationally famous expositor discusses such topics as differential equations, matrices, groups, sets, transformations, mathematical logic and other important modern mathematics, as well as use in physics, astrophysics and similar fields. Superb explanation for layman, scientist in other areas.
B0006AWB0Q
Provide your students with activities that investigate shapes, symmetry, congruence, angles, rotations, reflections, and much more. Reasoning with Geometry builds logical-thinking skills as students study five big ideas in Geometry 1, Attributes of Shapes 2, Composing and Decomposing Shapes 3, Spatial Reasoning 4, Transformations 5, Relationships among Shapes
1404532080
Haganlo Juntos: Problemas de matemticas para grupos, Grados 412 Spanish edition of the popular Get It Together book. This complete translation is ideal for Spanish bilingual classrooms. Some teachers use the English and Spanish editions side by side as primary language support for both language groups. The problems in Get It Together and Hganlo Juntos are grouped into twenty-four "families" and indexed by math content and grade level. Learning math in cooperative groups can be a great morale booster, and these activities will keep students engaged in math all year long.
0912511281
Each volume in this series presents more than 150 stimulating hands-on activities in an easy-to-follow format to teach thinking and reasoning skills along with basic science concepts and facts. Over 500 activities in all!
0132301865
The power and attractiveness of the subject of mathematics is often hidden from students who are in introductory courses. In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory. Throughout the text, the authors stress that mathematics is an analytical way of thinking, one that can be brought to bear on problem solving and effective thinking in any field of study.
1559534079
This book provides teachers with research-based and standards-driven techniques that are especially useful for reaching all students in the classroom.
1578867584
Together you'll count, add, subtract, multiply, and even learn some geometry. This book shows you what everyday objects to use, how to use materials for maximum effect, and how to engage a child's interest. It includes 16 pages of tear-out flashcards. Ages 3-7
067336061X
Hexaflexagons, Probability Paradoxes, and the Tower of Hanoi is the inaugural volume in The New Martin Gardner Mathematical Library series. Based off of Gardener's enormously popular Scientific American columns, his puzzles and challenges can now fascinate a whole new generation! Paradoxes and paper-folding, Moebius variations and mnemonics, fallacies, magic square, topological curiosities, parlor tricks, and games ancient and modern, from Polyminoes, Nim, Hex, and the Tower of Hanoi to four-dimensional ticktacktoe. These mathematical recreations, clearly and cleverly presented by Martin Gardner, delight and perplex while demonstrating principles of logic, probability, geometry, and other fields of mathematics. Now the author, in consultation with experts, has added updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries. It's the perfect stocking stuffer for the puzzle wizard on your list.
0521735254
A colourful square, dissected into four parts, with hinges marked in black. If you leave the blue piece fixed and swing the others around their hinges, a new shape will emerge. Can you guess just by looking what it will be? This is just one of the tricky geometrical gems that will make a puzzler's mind work overtime. Try drawing a set of variously shaped polygons using only a compass and a ruler (no measuring allowed!); figuring out which of two sculptures is bigger (logic alone won't give you the answer); and lots more.
186105842X
Originally published in 1969 as NCTM's Thirty-first Yearbook, this updated edition contains a new chapter that discusses contemporary mathematics. The original chapters provide the why and the how of using the history of mathematics in the contemporary classroom, along with historical overviews and more detailed capsules on such topics as numbers and numerals, computation, geometry,and algebra.
0873532813
This is about design problems and the design process. Design skills (or "creativity") are involved in a great many human activities, but exactly how the design process occurs has obstinately resisted explanation both by those involved in practice and by psychologists. Bryan Lawson has the unusual qualification of being both a designer and a psychologist, and this book draws on his own teaching experience, designers' own accounts of their work, and the writing of design methodologists and theoreticians. The author shows that the design process involves a variety of different types of thinking and that design skills can be acquired, practised and improved, like playing an instrument, rather than being imparted as if by some mysterious process. His book will be of great interest not only to designers seeking a greater insight into their own thought processes, but also to students of design in general.
0408500727
This digital document is a journal article from Journal of Mathematical Behavior, published by Elsevier in 2005. The article is delivered in HTML format and is available in your Amazon.com Media Library immediately after purchase. You can view it with any web browser.
Description:
This paper reports on the mathematical thinking of participants of a long-term study, now in its 17th year, who did mathematics together through their public school and early university years. In particular, it describes how fundamental ideas and images of a cohort group of students are elaborated and presented in symbolic expressions of generalized mathematical ideas while exploring problems in grades 10 and 11. From high school and university interview data, we learn from participants how they viewed their mathematical activity in structuring their investigations and justifying their solutions.
B000RR2OGY
The CBEST, or California Basic Educational Skills Test, must be passed by all who intend to teach in California's elementary and secondary schools. The new edition of this test prep manual has been extensively updated to reflect the latest tests. It presents three full-length model tests with answers and explanations, subject reviews in reading, math, and writing skills, and additional help for test takers who speak English as their second language. Other features include strategies for succeeding on the exam and a general overview of the CBEST.
0764117920
The CSET, which is replacing the MSAT in California, consists of three multiple-choice subtests. Subtest I tests in reading, language, literature, history, and social science. Subtest II is in science and math; and subtest III covers visual and performing arts, physical education, and human development. This manual offers in-depth reviews in all test areas, as well as detailed advice in study and test-taking strategies. It also provides two complete practice CSETs with explained answers.
0764123513
Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman’s successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed ‘scratch work’ sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.
0521675995
A perennial bestseller by eminent mathematician G. Polya, How to Solve It will show anyone in any field how to think straight.
In lucid and appealing prose, Polya reveals how the mathematical method of demonstrating a proof or finding an unknown can be of help in attacking any problem that can be "reasoned" outfrom building a bridge to winning a game of anagrams. Generations of readers have relished Polya's deftindeed, brilliantinstructions on stripping away irrelevancies and going straight to the heart of the problem.
069111966X
If you have a psychological problem, this book won't help you at all........... Terrific math and logic book!!! PLUSthere are L-O-A-D-S of illustrations!!
0716708469
This expanded edition of the original bestseller, How to Teach Mathematics, offers hands-on guidance for teaching mathematics in the modern classroom setting. Twelve appendices have been added that are written by experts who have a wide range of opinions and viewpoints on the major teaching issues.
Eschewing generalities, the award-winning author and teacher, Steven Krantz, addresses issues such as preparation, presentation, discipline, and grading. He also emphasizes specificsfrom how to deal with students who beg for extra points on an exam to mastering blackboard technique to how to use applications effectively. No other contemporary book addresses the principles of good teaching in such a comprehensive and cogent manner.
The broad appeal of this text makes it accessible to areas other than mathematics. The principles presented can apply to a variety of disciplinesfrom music to English to business. Lively and humorous, yet serious and sensible, this volume offers readers incisive information and practical applications.
0821813986
This unique guide to interactive system design reflects the experience and vision of Jef Raskin, the creator of the Apple Macintosh project. Other books may show how to use today's widgets and interface ideas effectively. Raskin, however, demonstrates that many current interface paradigms are dead ends, and that to make computers significantly easier to use requires new approaches. He explains how to effect desperately needed changes, offering a wealth of innovative and specific interface ideas for software designers, developers, and product managers. The Apple Macintosh helped to introduce a previous revolution in computer interface design, drawing on the best available technology to establish many of the interface techniques and methods now universal in the computer industry. With this book, Raskin proves again both his farsightedness and his practicality. He also demonstrates how design ideas must be built on a scientific basis, presenting just enough cognitive psychology to link the interface of the future to the experimental evidence and to show why that interface will work. Raskin observes that our honeymoon with digital technology is over: We are tired of having to learn huge, arcane programs to do even the simplest of tasks; we have had our fill of crashing computers; and we are fatigued by the continual pressure to upgrade. The Humane Interface delivers a way for computers, information appliances, and other technology-driven products to continue to advance in power and expand their range of applicability, while becoming free of the hassles and obscurities that plague present products.
0201379376
Hypertext is dramatically changing how we read and write, how we teach reading and writing, and how we define literary practices.
Ilana Snyder gives a straightforward overview of the radical effects that hypertext is having on textual practices. Focusing on what we mean by text, author and reader, she explores the connections between the practical experience of hypertext and some of the key insights found in the works of critical theorists. For students and teachers in particular, and for those working in the humanities in general, this book is Ariadne's thread.
0522846297
ISBN # 1559532548 THE PIT AND THE PENDULUM is one of the five units in Year 1 of the IMP curriculum. Students read excerpts from Edgar Allan Poe's story use graphing calculators to learn about quadratic equations, curve fitting.... finally they actually build a 30 foot pendulum to test their teeory. ... The IMP (Interactive Mathematics Program) has created a four year program of problem-based mathematics that replaces the traditional Algebra 1- Geometry-Albegra II/Trigonometry-Precalculus sequence that is designed to exemplify the cirriculum reform called for in the Curriculum and Evaluation Standards of the National Council of Teachers of Mathematics The IMP curriculum integrates traditional material with additional topics such as statistics, probability, curve fitting and matrix algebra.
1559532548
Series: Classroom Resource Materials
Ready-to-use projects for the classroom
The ILAPs provide supplemental classroom resource materials in the form of eight project handouts that you can use as student homework assignments. They require students to use scientific and quantitative reasoning, mathematical modeling, symbolic manipulation skills, and computational tools to solve and analyze scenarios, issues, and questions involving one or more disciplines. The prerequisite skills for the eight projects presented in the book range from freshmen-level algebra, trigonometry, and precalculus; through calculus, elementary and intermediate differential equations, and discrete mathematics to advanced calculus and partial differential equations.
0883857065
Topics Covered: Review of Counting & Probability Basics, Sets and Logic, A Piece of Pie, Constructive Counting and 1-1 Correspondences, The Pigeonhole Principle, Constructive Expectation, Distributions, Mathematical Induction, Fibonacci Numbers, Recursion, Conditional probability, Combinatorial Identities, Events with States, Generating Functions, Graph Theory, Challenge problems.
B002132WLY
This traditional treatment of abstract algebra is designed for the particular needs of the mathematics teacher. Readers must have access to a Computer Algebra System (C. A. S.) such as Maple, or at minimum a calculator such as the TI 89 with C. A. S. capabilities. Includes “To the Teacher” sections that Draw connections from the number theory or abstract algebra under consideration to secondary mathematics. Provides historical context with “From the Past” sections in each chapter. Features “Worksheets” that outline the framework of a topic in most chapters. A useful reference for mathematics teachers who need to brush up on their abstract algebra skills.
An Introduction to Abstract Algebra with Notes to the Future Teacher, 1/E
Olympia Nicodemi
Melissa A Sutherland
Gary W Towsley
0131019635
This traditional treatment of abstract algebra is designed for the particular needs of the mathematics teacher. Readers must have access to a Computer Algebra System (C. A. S.) such as Maple, or at minimum a calculator such as the TI 89 with C. A. S. capabilities. Includes “To the Teacher” sections that Draw connections from the number theory or abstract algebra under consideration to secondary mathematics. Provides historical context with “From the Past” sections in each chapter. Features “Worksheets” that outline the framework of a topic in most chapters. A useful reference for mathematics teachers who need to brush up on their abstract algebra skills.
An Introduction to Abstract Algebra with Notes to the Future Teacher, 1/E
Olympia Nicodemi
Melissa A Sutherland
Gary W Towsley
0131019635
Introduction to Applied Math offers a comprehensive introductory treatment of the subject. The author’s explanations of Applied Mathematics are clearly stated and easy to understand. The reference includes a wide range of timely topics from symmetric linear systems to optimization as well as illuminating hands-on examples.
Chapter 1: Symmetric Linear Systems; Chapter 2: Equilibrium Equations; Chapter 3: Equilibrium in the Continuous Case; Chapter 4: Analytical Methods; Chapter 5: Numerical Methods; Chapter 6: Initial-Value Problems; Chapter 7: Network Flows and Combinatorics; Chapter 8: Optimization; Software for Scientific Computing.
0961408804
Topics Covered: Counting Is Arithmetic, Basic Counting Techniques, Correcting for overcounting, Committees and combinations, More with combinations, Some harder counting problems, Introduction to Probability, Basic probability Techniques, Think about it!, Geometric probability, Expected Value, Pascal's Triangle, The Hockey Stick Identity, The Bionomial Theorem, More challenging problems.
1934124109
This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.
0521597188
This book eases students into the rigors of university mathematics. The emphasis is on understanding and constructing proofs and writing clear mathematics. The author achieves this by exploring set theory, combinatorics, and number theory, topics that include many fundamental ideas and may not be a part of a young mathematician's toolkit. This material illustrates how familiar ideas can be formulated rigorously, provides examples demonstrating a wide range of basic methods of proof, and includes some of the all-time-great classic proofs. The book presents mathematics as a continually developing subject. Material meeting the needs of readers from a wide range of backgrounds is included. The over 250 problems include questions to interest and challenge the most able student but also plenty of routine exercises to help familiarize the reader with the basic ideas.
0521597188
Written by a respected scholar in the field, this comprehensive, contemporary introduction to physical oceanography strikes a balance between mathematical rigor and description so that it can be used with a fairly wide range of mathematical competence. Covers fundamental topics of interest to biologists, chemists, geologists, and physical oceanographers. Features all new material on The Coastal Ocean and Semi Enclosed Seas (Chapter 11). Extensively updated with new content in each chapter (e.g.: long waves (Chapter 10), the equation of state (Chapter 2), and examples of what can be learned from satellite observations (Chapters 8 and 12)).
0132381559
This well-known book is a self-contained treatment of the classical theory of abstract Riemann surfaces. The first five chapters cover the requisite function theory and topology for Riemann surfaces. The second five chapters cover differentials and uniformization. For compact Riemann surfaces, there are clear treatments of divisors, Weierstrass points, the Riemann-Roch theorem and other important topics. Springer's book is an excellent text for an introductory course on Riemann surfaces. It includes exercises after each chapter and is illustrated with a beautiful set of figures.
0821831569
5 volumes: Solve It! Is There Really A Difference? Do Bees Build It Best? Cookies All About Alice
1559532599
5 volumes: Solve It! Is There Really A Difference? Do Bees Build It Best? Cookies All About Alice
1559532599
The Journey—Through Middle School Math is about: • helping children comprehend difficult middle school math concepts • enabling parents to navigate the complexities of middle school Using this book, parents will learn how to optimize their children’s mathematics success in middle school and beyond. The algebra and geometry activities are broken down into small pieces that are easy-to-follow and easy to comprehend. Activities such as Let’s Go to the Movies and Counting the Goodtimes make algebra understandable, interesting, and dare we say, fun. Families will improve their geometry skills while enjoying How Do I Get There? and Make Your Garden Bigger. To assist the math explorations, answers to selected problems are included. Parent involvement activities enable families to make informed decisions about their children’s education and future opportunities. Strategies include how to: • successfully connect with teachers, • understand test results and their influence, and • choose math courses that increase career options. Teachers will find this book an indispensable guide when working with middle school families, especially those that need extra guidance. The Journey—Through Middle School Math is a terrific resource to use at home, in the classroom, and for after-school programs. Grades 5–8. 140 pages. $18.95. Spanish edition available Summer 2005. All math activities are based on the National Council of Teachers of Mathematics Principles and Standards for School Mathematics.
0912511311
No number has captured the attention and imagination of number fanatics and nerds throughout the ages as much as "pi"the ratio of a circle's circumference to its diameter. The Joy of Pi offers a rare treat for those number fetishists, telling the story of pi and man's fascination with it, from Archimedes to da Vinci to the modern-day Chudnovsky brothers.
0802713327
In high school Julia Bowman stood alone as the only girl - and the best student - in the junior and senior math classes. She had only one close friend and no boyfriends. Although she was to learn that there are such people as mathematicians, her ambition was merely to get a job teaching mathematics in high school. At great sacrifice her widowed stepmother sent her to the University of California at Berkeley. But at Berkeley, in a society of mathematicians, she discovered herself. There was also a prince at Berkeley, a brilliant young assistant professor named Raphael Robinson. Theirs was to be a marriage that would endure until her death in 1985. Julia is the story of Julia Bowman Robinson, the gifted and highly original mathematician who during her lifetime was recognized in ways that no other woman mathematician had ever been recognized. This unusual book brings together in one volume the prizewinning Autobiography of Julia Robinson by her sister, the popular mathematical biographer Constance Reid, and three very personal articles about her work by outstanding mathematical colleagues.
0883855208
This guide includes:
3 full-length practice testsDiagnostic test to build a personalized study planDetailed explanations for every answerDozens of practice questionsIn-depth content review for Reading, Math, and Writing topicsConcise section summaries for quick reviewPowerful strategies to help you take control and succeed on the exam
1419552325
"Murderous Maths" has been given a gorgeous new cover look. For readers scared of squares and perplexed by primes, the next in the unchallenged "Murderous Maths" series, "Numbers: The Key to the Universe", reveals how you could win a million dollars and become famous forever (twice). Meanwhile, they must pit their wits against evil Professor Fiendish's Number Chain, and things get ugly when the gangsters meet the unlucky number 13. Using a host of hilarious characters, Kjartan Poskitt presents all the tricks, tips and shortcuts to maths they don't teach at school.
1407107119
Keystrokes: Calculator Activities for Young Students, Exploring New Topics
0884881377
Chinese students typically outperform U.S. students on international comparisons of mathematics competency. Paradoxically, Chinese teachers receive far less education than U.S. teachers11 to 12 years of schooling versus 16 to 18 years of schooling.
Studies of U.S. teacher knowledge often document insufficient subject matter knowledge in mathematics. But, they give few examples of the knowledge teachers need to support teaching, particularly the kind of teaching demanded by recent reforms in mathematics education.
This book describes the nature and development of the "profound understanding of fundamental mathematics" that elementary teachers need to become accomplished mathematics teachers, and suggests why such teaching knowledge is much more common in China than the United States, despite the fact that Chinese teachers have less formal education than their U.S. counterparts.
The studies described in this book suggest that Chinese teachers begin their teaching careers with a better understanding of elementary mathematics than that of most U.S. elementary teachers. Their understanding of the mathematics they teach andequally importantof the ways that elementary mathematics can be presented to students, continues to grow throughout their professional lives.
Teaching conditions in the United States, unlike those in China, militate against the development of elementary teachers' mathematical knowledge and its organization for teaching. The concluding chapter of the book suggests changes in teacher preparation, teacher support, and mathematics education research that might allow teachers in the United States to attain profound understanding of fundamental mathematics.
0805829091
For Mathematics Methods in Elementary School courses. The first methods textbook to show readers how NCTM Principles and Standards drive mathematics instruction is now the first to take you right into the math classroom to examine children's reasoning and see its implications for teaching. This thoroughly revised edition illustrates how to create a learner-centered classroom that allows the reader to nurture a child's ability to communicate mathematical thinking and link that knowledge to developmentally appropriate teaching practices. A strong focus on NCTM Standards, developing tools for teaching, and its manageable length ensures readers will use this book as a reference well into their first years of teaching. Connecting to the Standards sections use the Annenberg/CPB videos and IMAP CD clips to demonstrate how to teach to the NCTM content and process standards. Illustrates for readers how to easily integrate daily classroom implementation of the NCTM content and process standards to meet state and school district mandates. Standards Matrix tables open each chapter clearly outlining the developmentally appropriate standards each chapter covers. Readers make connections between chapter content and professional standards, and use a basis for portfolio development, and a rich reference resource for their first classroom. Standards Links - connect the NCTM Standards to the mathematical concepts addressed in the text Readers become familiar with standards accountability that will assist them in lesson planning. Manipulatives are now located in the back of every copy of the book and available online
0131700596
In this smooth, carefully paced course, leading Perl trainers and a Windows NT practitioner teach you to program in the language that promises to emerge as the scripting language of choice on NT. Perl for Win32 is a language for easily manipulating text, files, user and group profiles, performance and event logs, and registry entries. Based on the "llama book," Learning Perl on Win32 Systems features tips for PC users and new NT-specific examples, along with a foreword by Larry Wall, the creator of Perl, and Dick Hardt, the creator of Perl for Win32. The contents include:An introduction to "the Perl way" for Windows usersA quick tutorial stroll through Perl in one lessonSystematic, topic-by-topic coverage of Perl's broad capabilitiesInnumerable, brief code examplesProgramming exercises for each topic, with fully worked-out answersAccess to NT system functions through PerlDatabase access with PerlCGI programming with PerlPerl modules for OLE automation and the Registry
1565923243
Mathematician Ian Stewart tells readers what he wishes he had known when he was a student. He takes up subjects ranging from the philosophical to the practicalwhat mathematics is and why it's worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others.
0465082327
In these affectionate letters to Francesca, a first grade teacher at an inner-city school in Boston, Jonathan Kozol vividly describes his repeated visits to her classroom while, under Francesca’s likably irreverent questioning, he also reveals his own most personal stories of the years that he has spent in public schools.
Letters to a Young Teacher reignites a numberof the controversial issues Jonathan has powerfully addressed in recent years: the mania of high-stakes testing that turns many classrooms into test-prep factories where spontaneity and critical intelligence are no longer valued, the invasion of our public schools by predatory private corporations, and the inequalities of urban schools that are once again almost as segregated as they were a century ago.
But most of all, these letters are rich with the happiness of teaching children, the curiosity and jubilant excitement children bring into the classroom at an early age, and their ability to overcome their insecurities when they are in the hands of an adoring and hard-working teacher.
0307393712
In these affectionate letters to Francesca, a first grade teacher at an inner-city school in Boston, Jonathan Kozol vividly describes his repeated visits to her classroom while, under Francesca’s likably irreverent questioning, he also reveals his own most personal stories of the years that he has spent in public schools.
Letters to a Young Teacher reignites a numberof the controversial issues Jonathan has powerfully addressed in recent years: the mania of high-stakes testing that turns many classrooms into test-prep factories where spontaneity and critical intelligence are no longer valued, the invasion of our public schools by predatory private corporations, and the inequalities of urban schools that are once again almost as segregated as they were a century ago.
But most of all, these letters are rich with the happiness of teaching children, the curiosity and jubilant excitement children bring into the classroom at an early age, and their ability to overcome their insecurities when they are in the hands of an adoring and hard-working teacher.
0307393712
A collection of over 30 letters speaks to the heart of public education and the need for an educated and engaged citizenry. Contributors include students, teachers, parents, prominent educators (Linda Darling-Hammond, Lisa Delpit, John Goodlad...), elected officials (Jim Jeffords, John Glenn, Paul Wellstone...) and other citizens.
0807744271
Winner of the American Book Award and the Oliver C. Cox
Anti-Racism Award of The American Sociological Association
Americans have lost touch with their history, and in Lies My Teacher Told Me Professor James Loewen shows why. After surveying eighteen leading high school American history texts, he has concluded that not one does a decent job of making history interesting or memorable. Marred by an embarrassing combination of blind patriotism, mindless optimism, sheer misinformation, and outright lies, these books omit almost all the ambiguity, passion, conflict, and drama from our past.
In this revised edition, packed with updated material, Loewen explores how historical myths continue to be perpetuated in today's climate and adds an eye-opening chapter on the lies surrounding 9/11 and the Iraq War. From the truth about Columbus's historic voyages to an honest evaluation of our national leaders, Loewen revives our history, restoring the vitality and relevance it truly possesses.
Thought provoking, nonpartisan, and often shocking, Loewen unveils the real America in this iconoclastic classic beloved by high school teachers, history buffs, and enlightened citizens across the country.
0743296281
Covers the universe of Macintoshfrom Apple's beginning to speculations on Mac's future, with stops along the way for opinions, art, humor, advice, and commentary by the biggest names in the industry.
0679742425
An introduction to the basis of our number system illustrated by mathematical curiosities, riddles, puzzles, and games.
B0006AUYKA
This book presents several key principles for teaching mathematics for understanding that you can use to reflect on your own teaching, make more informed decisions, and develop more effective systems of instruction.
0435071327
This concise but thorough history encompasses the enduring contributions of the ancient Greek mathematicians whose works form the basis of most modern mathematics. Topics include Pythagorean arithmetic, Plato's use and philosophy of mathematics, an in-depth analysis of Euclid's "Elements," the beginnings of Greek algebra and trigonometry, and other mathematical milestones. 1931 edition.
0486432319
The entire collection of Martin Gardner's Scientific American columns on one searchable CD! Martin Gardner’s “Mathematical Games” column ran in Scientific American from 1956 to 1986. In these columns Gardner introduced hundreds of thousands of readers to the delights of mathematics and of puzzles and problem solving. His column broke such stories as Rivest, Shamir and Adelman on public-key cryptography, Mandelbrot on fractals, Conway on Life, and Penrose on tilings. He enlivened classic geometry and number theory and introduced readers to new areas such as combinatorics and graph theory. The CD contains the following books: 1. Hexaflexagons and Other Mathematical Diversions 2. The Second Scientific American Book of Mathematical Puzzles and Diversions 3. New Mathematical Diversions 4. The Unexpected Hanging and Other Mathematical Diversions 5. Martin Gardner’s 6th Book of Mathematical Diversions from Scientific American 6. Mathematical Carnival 7. Mathematical Magic Show 8. Mathematical Circus 9. The Magic Numbers of Dr. Matrix 10. Wheels, Life, and Other Mathematical Amusements 11. Knotted Doughnuts and Other Mathematical Entertainers 12. Time Travel and Other Mathematical Bewilderments 13. Penrose Tiles to Trapdoor Ciphers 14. Fractal Music, Hypercards, and more Mathematical Recreations from Scientific American 15. The Last Recreations: Hydras, Eggs, and Other Mathematical Mystifications. A profile and interview with Martin Gardner is included in this collection
0883855453
The Spanish version of FAMILY MATH is used with Spanish-speaking families in community groups, churches, and school districts throughout the United States and in Puerto Rico, Costa Rica, and Venezuela. This book is particularly important for those family members for whom Spanish is their first language. MATEMATICA PARA LA FAMILIA enables them to enjoy doing mathematics at home with their children and in FAMILY MATH classes conducted in Spanish. Grades K-8.
0912511087
The Spanish version of FAMILY MATH is used with Spanish-speaking families in community groups, churches, and school districts throughout the United States and in Puerto Rico, Costa Rica, and Venezuela. This book is particularly important for those family members for whom Spanish is their first language. MATEMATICA PARA LA FAMILIA enables them to enjoy doing mathematics at home with their children and in FAMILY MATH classes conducted in Spanish. Grades K-8.
0912511087
These lessons, based on popular children's books, address major mathematical topics such as addition, subtraction, multiplication, geometry, algebraic thinking, number sense, and place value.
0941355675
Reading and comprehending nonfiction are important activities in the elementary classroom. These lessons inspire students to explore geometric shapes in their everyday lives, investigate measurement, collect and organize data, compute with coins, learn how to tell time, and more.
0941355616
Students build understanding of area, perimeter, and the relationships between them through hands-on explorations. They go beyond merely learning the traditional formulas for finding area and perimeter as they use color tiles, string, rulers, and measuring tapes to investigate regular and irregular shapes.
0941355187
Through a variety of games, experiments, and investigations, students predict outcomes and then test their predictions. They learn that some events are more likely than others, that some events are equally likely, that it is possible to measure the likelihood of events, that sample sets of data help in predicting outcomes, and more.
0941355128
Math Skills Maintenance provides strategic intervention with additional skills practice for struggling students.
0078788935
Math Skills Maintenance provides strategic intervention with additional skills practice for struggling students.
0078788951
From a well-known actress and math genius—a groundbreaking guide to mathematics for middle school girls, their parents, and educators
As the math education crisis in this country continues to make headlines, research continues to prove that it is in middle school when math scores begin to drop—especially for girls—in large part due to the relentless social conditioning that tells girls they “can’t do” math, and that math is “uncool.” Young girls today need strong female role models to embrace the idea that it’s okay to be smart—in fact, it’s sexy to be smart!
It’s Danica McKellar’s mission to be this role model, and demonstrate on a large scale that math doesn’t suck. In this fun and accessible guide, McKellar—dubbed a “math superstar” by The New York Times—gives girls and their parents the tools they need to master the math concepts that confuse middle-schoolers most, including fractions, percentages, pre-algebra, and more. The book features hip, real-world examples, step-by-step instruction, and engaging stories of Danica’s own childhood struggles in math (and stardom). In addition, borrowing from the style of today’s teen magazines, it even includes a Math Horoscope section, Math Personality Quizzes, and Real-Life Testimonials—ultimately revealing why math is easier and cooler than readers think.
1594630399
Now in its eighth edition, this text masterfully integrates skills, concepts, and activities to motivate learning. It emphasises the relevance of mathematics to help students learn the importance of the information being covered. This approach ensures that they develop a sold mathematics foundation and discover how to apply the content in the real world.
0023847603
Now in its eighth edition, this text masterfully integrates skills, concepts, and activities to motivate learning. It emphasises the relevance of mathematics to help students learn the importance of the information being covered. This approach ensures that they develop a sold mathematics foundation and discover how to apply the content in the real world.
0023847603
This informative resource explores the purposes of homework and how teachers and school administrators can create more inventive and meaningful assignments. Through numerous examples of math homework assignments, Annette Raphel demonstrates how homework can reinforce skills, prepare students for classroom discussions, and inspire their mathematical creativity.
0941355276
This workbook reinforces skills and minimizes frustration for students in any math class, lab, or study skills course. Offering a wealth of proven study tips and sound advice on note-taking, time management, and reducing math anxiety, the author makes the learning process both manageable and compelling. In addition, numerous opportunities for self-assessment enable students to track their own progress.
0395982251
There s a new amusement park in town. Come on in–and find out all the exciting ways you can have fun with math in everyday life. Wander through the fractal forest, take a ride on the M¨obius-strip roller coaster, and get dizzy learning about how math makes the Tilt-A-Whirl possible. The more activities you try, the more youll learn how cool it can be to see the world through the eyes of a mathematician.
Once youve sampled some of the interesting and unique projects in Math Trek, from untangling unknots to winning games with weird dice to figuring out secret codes, youll see that every trip to the MathZone is an exciting adventure!
0471315702
This book presents 10 complete lessons for primary students based on children's books, plus ideas for using 21 additional books. The children's books include: Two Ways to Count to Ten, 17 Kings and 42 Elephants, and How Big Is a Foot?
0941355071
This sequel to the popular Math and Literature (K-3) features 20 classroom-tested lessons based on popular children's books including The Greedy Triangle, One Hundred Hungry Ants, and Two of Everything. An accessible, entertaining resource with an introduction by Marilyn Burns
094135511X
Students develop understanding of multiplication from a variety of problem-solving perspectives-geometrical, numerical, and practical situations. Includes activities from strands of probability, statistics, patterns and functions, and geometry.
0941355047
An introduction to Algebraic, Graphical and numerical prolem solving
0201660423
Combining standard Volumes I and II into one soft cover edition, this helpful book explains how to solve mathematical problems in a clear, step-by-step progression. It shows how to think about a problem, how to look at special cases, and how to devise an effective strategy to attack and solve the problem. Covers arithemetic, algebra, geometry, and some elementary combinatorics. Includes an updated bibliography and newly expanded index.
0471089753
Combining standard Volumes I and II into one soft cover edition, this helpful book explains how to solve mathematical problems in a clear, step-by-step progression. It shows how to think about a problem, how to look at special cases, and how to devise an effective strategy to attack and solve the problem. Covers arithemetic, algebra, geometry, and some elementary combinatorics. Includes an updated bibliography and newly expanded index.
0471089753
Mathematics has been a human activity for thousands of years. Yet only a few people from the vast population of users are professional mathematicians, who create, teach, foster, and apply it in a variety of situations. The authors of this book believe that it should be possible for these professional mathematicians to explain to non-professionals what they do, what they say they are doing, and why the world should support them at it. They also believe that mathematics should be taught to non-mathematics majors in such a way as to instill an appreciation of the power and beauty of mathematics. Many people from around the world have told the authors that they have done precisely that with the first edition and they have encouraged publication of this revised edition complete with exercises for helping students to demonstrate their understanding.
This edition of the book should find a new generation of general readers and students who would like to know what mathematics is all about. It will prove invaluable as a course text for a general mathematics appreciation course, one in which the student can combine an appreciation for the esthetics with some satisfying and revealing applications.
0817637397
Mathematical Foundations of Quantum Mechanics was a revolutionary book that caused a sea change in theoretical physics. Here, John von Neumann, one of the leading mathematicians of the twentieth century, shows that great insights in quantum physics can be obtained by exploring the mathematical structure of quantum mechanics. He begins by presenting the theory of Hermitean operators and Hilbert spaces. These provide the framework for transformation theory, which von Neumann regards as the definitive form of quantum mechanics. Using this theory, he attacks with mathematical rigor some of the general problems of quantum theory, such as quantum statistical mechanics as well as measurement processes. Regarded as a tour de force at the time of publication, this book is still indispensable for those interested in the fundamental issues of quantum mechanics.
0691028931
(Pearson Education) Presents a series of sequenced investigations, where students gather data and work together to discover key concepts. Explores variables, notation, and processes. Reflects society's need to make sense of numerical data. Three-hole punched, with perforated pages. DLC: Algebra.
0321069315
"Mathematics, taught and learned appropriately, improves the mind and implants good habits of thought. " This tenet underlies all of Professor Polya's works on teaching and problem-solving. The distinctive feature of the present book is the stress on the history of certain elementary chapters of science; these can be a source of enjoyment and deeper understanding of mathematics even for beginners who have little, or perhaps no, knowledge of physics.
0883856263
Peter Winkler is at it again. Following the enthusiastic reaction to Mathematical Puzzles: A Connoisseur s Collection, Peter has compiled a new collection of elegant mathematical puzzles to challenge and entertain the reader. The original puzzle connoisseur shares these puzzles, old and new, so that you can add them to your own anthology. This book is for lovers of mathematics, lovers of puzzles, lovers of a challenge. Most of all, it is for those who think that the world of mathematics is orderly, logical, and intuitive-and are ready to learn otherwise!
1568813368
Ravi Vakil, described in the San Francisco Chronicle as a legend in the world of math competitions has finally released his long-awaited second edition of A Mathematical Mosaic: Patterns & Problem Solving. Regarded by many as a seminal book in the field of mathematics competitions, the first edition of A Mathematical Mosaic has received wide acclaim from mathematics teachers, professors and the mathematics community at large. In the pages of this book, Ravi shares what mathematics is really about: beauty, elegance, and the discovery of deep and interconnected patterns. These patterns of nature are often best understood through puzzles and problems, both easy and hard. He also profiles eleven other Olympiad winners including Noam Elkies, the youngest professor to receive tenure at Harvard. This book is a must for teachers seeking to challenge their best students, and for students preparing for mathematics competitions.
1895997283
This collection includes more than 100 of the best (and some of the toughest)mathematical puzzles ever to appear in one volume.
You'll need a love for mathematical reasoning and a streak of determination. You won't need a professional acquaintance with mathematics; a motivated high school student has what it takes! If you're up to the challenge, there's even a chapter on Unsolved Puzzles.
1568812019
The fourth edition of Mathematical Reasoning has an increased focus on professional development and connecting the material from this class to the elementary and middle school classroom. The authors have provided more meaningful content and pedagogy to arm readers with all the tools that they will need to become excellent elementary or middle school teachers.
Thinking Critically. Sets and Whole Numbers. Numeration and Computation. Number Theory. Integers. Fractions and Rational Numbers. Decimals and Real Numbers. Algebraic Reasoning and Representation. Statistics: The Interpretation of Data. Probability. Geometric Figures. Measurement. Transformations, Symmetries, and Tilings. Congruence, Constructions, and Similarities.
For all readers interested in mathematical reasoning for elementary teachers.
0321286960
Twelfth edition of classic work offers scores of stimulating, mind-expanding games and puzzles: arithmetical and geometrical problems, chessboard recreations, magic squares, map-coloring problems, cryptography and cryptanalysis, much more. "A must to add to your mathematics library" — The Mathematics Teacher. Index. References for Further Study. 150 black-and-white line illustrations.
0486253570
Numerous photographs and diagrams help explain and illustrate mathematical phenomena in this series of thought-provoking expositions. Ranging from simple puzzles and games to more advanced problems, topics include the psychology of lottery players, the arrangement of chromosomes in a human cell, new and larger prime numbers, the fair division of a cake, how to find the shortest possible way to link a dozen locations by rail, and many other absorbing conundrums. A fascinating glimpse into the world of numbers and their uses. 1969 ed. 391 b/w illus.
0195032675
Emphasis on mathematical thinking and teaching strategies on factors and multiples of 100, 1000, and 10000.
0866519890
The science writer Ivars Peterson conducts the reader through the world of modern mathematics.
0716719533
Do you need help getting started as an individual or as a member of a group facing the need to prepare formal documents? This is an all-out attack on the problem of teaching people the art of mathematical writing. Learn how others have made use of student assistants in ways that benefit all parties. Read how feedback from students supplies early warning signals from instructors, as well as helping students clarify their thought processes. This book will give aid and encouragement to those wishing to teach a course in technical writing, or to those who wish to write themselves.
088385063X
With the same user-friendly, quirky, and perceptive approach that made Innumeracy a bestseller, John Allen Paulos travels though the pages of the daily newspaper showing how math and numbers are a key element in many of the articles we read every day. From the Senate, SATs, and sex, to crime, celebrities, and cults, he takes stories that may not seem to involve mathematics at all and demonstrates how a lack of mathematical knowledge can hinder our understanding of them.
038548254X
“One of the best critiques of current mathematics education I have ever seen.”—Keith Devlin, math columnist on NPR’s Morning Edition
A brilliant research mathematician who has devoted his career to teaching kids reveals math to be creative and beautiful and rejects standard anxiety-producing teaching methods. Witty and accessible, Paul Lockhart’s controversial approach will provoke spirited debate among educators and parents alike and it will alter the way we think about math forever.
Paul Lockhart, has taught mathematics at Brown University and UC Santa Cruz. Since 2000, he has dedicated himself to K-12 level students at St. Ann’s School in Brooklyn, New York.
1934137170
Do your students understand the effects that compound interest can have on an investment? This simulation allows students to experiment with various parameters to help give them a graphical representation of how compound interest works.
Also Available:
Mathematics & Economics: Connections for Life, 6-8 - ISBN 1561836036
Mathematics and Economics: Connections for Life, Grades 3-5 - ISBN 1561835366
The Council for Economic Education envisions a world in which people are empowered through economic and financial literacy to make informed and responsible choices throughout their lives as consumers, savers, investors, workers, citizens, and participants in our global economy.
Some of the areas in K-12 education we publish in include:
- Establishing and building credit
- Managing personal finances
- Understanding economics on a local, national, and global level
- Using economics in other subject areas: Social Studies, Geography, History, etc.
1561836028
Both practical and inspirational, the Classroom Assessment for School Mathematics, K-12 Series of handbooks and casebooks foster insights into what students know, what they can do, and how they think mathematically.
This valuable collection of examples, reflections, explanations, and tips explores the role of assessment in reshaping mathematics teaching and learning in the middle grades. This book not only offers advice about changing practices, selecting and developing tools, implementing a system, and using results, but also presents twenty samples of assessment tasks developed by teachers, all in an easily reproducible format.
0873534816
As math teaching changes, so must assessment. This comprehensive resource explores how to use effective, authentic assessment to reveal what a student is thinking. Includes discussions and strategies for bridging the gap between school and real mathematics. 67 pages. Grades K-8.
0873533399
Mathematics education research in undergraduate mathematics has increased significantly in the last decade and shows no signs of abating in the near future. Thus far, this research has often been associated with innovations in curriculum such as calculus reform, statistics education, and the use of computational and graphing technology in instruction. Carefully conducted mathematics education research is something far more fundamental and widely useful than might be implied by its use by the advocates of innovation in undergraduate mathematics education. Most simply, mathematics education research is inquiry by carefully developed research methods aimed at providing evidence about the nature and relationships of many mathematics learning and teaching phenomena. It seeks to clarify the phenomena, illuminate them, explain how they are related to other phenomena, and explain how this may be related to undergraduate mathematics course organization and teaching. This bookthe collaborative effort of a research mathematician, mathematics education researchers who work in a research mathematics department and a professional librarianintroduces research mathematicians to education research. The work presents a non-jargon introduction for educational research, surveys the more commonly used research methods, along with their rationales and assumptions, and provides background and careful discussions to help research mathematicians read or listen to education research more critically. This guide is of practical interest to university-based research mathematicians. It introduces the methodology of quantitative and qualitative research in education, provides critical guidelines for assessing the reliability and validity of mathematics education research, and explains how to use online database resources to locate education research. The book will also be valuable to graduate students in mathematics who are planning academic careers, and to mathematics department chairs and their deans.
0821820168
Numbers and diagrams may well be older than letter-alphabets as aids to human reasoning. Yet despite this, mathematics is often denied the discussion and analysis of first principles which would be fundamental to the study of word-subjects at any level; conversely, its value as an academic discipline unrelated to actual practice may have been exaggerated. Numerical theory, space relationships, the nature of our mathematical reasoning are not generally thought to lie within the layman's grasp - or where they are offered to him it is usually in the guise of curiosities or party tricks. The seven self-contained chapter of Professor Freudenthal's book offer a glimpse into the mathematician's workshop. They hold a good deal of high-level mathematics, but nothing that cannot be followed from the clear, practical applications taken from daily life which are his starting and finishing points. Thus, ideas of space orientation concern the "righthandedness" of a corkscrew; theories of surveying and topology involve tunnel building attempts on Samos in the sixth century B.C., or how the roundness of the earth can be expressed without reference to astronomical points. Present and ancient systems of numbers and their bases lead to the theory of electronic calculators, while an introduction to protein synthesis puts before the reader various factors in the genetic code of life which biochemists are now trying to formulate. At all times particular attention is given to the interaction of mathematics and its logic with aspects of human activity which remain unchanged over the centuries and which arise from mans curiosity and needs. Hans Freudenthal is Professor of Theoretical and Applied Mathematics at the University of Utrecht.
B0000CNPX3
From the reviews of the first edition: "[This book] can be described as a collection of critical historical essays dealing with a large variety of mathematical disciplines and issues, and intended for a broad audience... we know of no book on mathematics and its history that covers half as much nonstandard material. Even when dealing with standard material, Stillwell manages to dramatize it and to make it worth rethinking. In short, his book is a splendid addition to the genre of works that build royal roads to mathematical culture for the many." - MATHEMATICAL INTELLIGENCER
This second edition includes new chapters on Chinese and Indian number theory, on hypercomplex numbers, and on algebraic number theory. Many more exercises have been added, as well as commentary to the exercises explaining how they relate to the preceding section, and how they foreshadow later topics.
0387953361
Stimulating account of development of basic mathematics from arithmetic, algebra, geometry and trigonometry, to calculus, differential equations and non-Euclidean geometries. Also describes how math is used in optics, astronomy, motion under the law of gravitation, acoustics, electromagnetism, other phenomena.
0486241041
Hardcover, New, Unmarked Interior, Includes Unused CD, Very Minimally Rubbed Cover, Ships Immediately
0201735350
This text provides a unique opportunity for pre-service teachers to develop a clear understanding of the mathematical concepts, procedures, and processes they will be called on to teach. What makes this text unique is its careful balance between what to teach (content and concepts), and how to teach (processes and communication), so that students will not only know the math skills, but understand the concepts deeply enough to teach the material effectively to others.
0321237188
This combination activity manual and resource handbook provides a two-part learning system for prospective K-6 teachers. It uses activities to help develop a deep and lasting understanding of the mathematical concepts, procedures, and skills that are essential for teaching mathematics to elementary school children. Chapter topics include getting started in learning mathematics via problem solving; numeration; operations on natural numbers, whole numbers and integers; number theory; data and chance; fraction models and operations; real numbers: rationals and irrationals; patterns and functions; geometry; and measurement. For teachers of mathematics at the elementary school level.
0130173452
Emphasizing conceptual understanding through the use of models and visuals, this new text helps students connect ideas and concepts while providing them with useful methods for teaching math to elementary school children. Mathematics for Elementary Teachers: A Conceptual Approach also addresses the latest NCTM standards by increasing the use of technology, adding "Math Activities" sections, and developing new methodology materials called "Ideas for the Classroom." These math activities serve as a set of inductive activities for prospective elementary and secondary teachers that use physical models, manipulatives, and visual images to develop concepts and encourage higher level thinking.
0073519456
Now in its eighth edition, this book masterfully integrates skills, concepts, and activities to motivate learning. It emphasizes the relevance of mathematics to help readers learn the importance of the information being covered. This approach ensures that they develop a sold mathematics foundation and discover how to apply the content in the real world.
0470105836
This book is designed for courses in mathematics for instructors who choose to focus on and/or take an activities approach. This book provides inductive activities for prospective elementary school teachers and incorporates the use of physical models, manipulatives, and visual images to develop concepts and encourage higher level thinking. (This text contains activity sets, one corresponding to each section of the companion text, Mathematics for Elementary Teachers: A Conceptual Approach (also by Bennett/Nelson). The Activities Approach text can be used independently or along with its companion volume.)
0072533072
This book gives readers a comprehensive look at the most important concepts in the mathematics taught in grades 9-12. Real numbers, functions, congruence, similarity, area and volume, trigonometry and more. For high school mathematics teachers, mathematics supervisors, mathematics coordinators, mathematicians, and users of the University of Chicago School Mathematics Project materials for grades 7-12 who want a comprehensive reference book to use throughout their careers or anyone who wants a better understanding of mathematics.
0130449415
Mathematics for Teachers: An Interactive Approach for Grades K-8 actively involves students in developing and explaining mathematical concepts and how the topics relate to NCTM Standards and Curriculum focal points. The text includes coverage of reasoning, sets, arithmetic, geometry, measurement, algebra, statistics, and probability. The carefully organized, interactive lesson format promotes student involvement and gradually leads the student to a deeper understanding of mathematical ideas.
0495561665
"It makes alive the contents of the elements of mathematics."—Albert Einstein Taking only the most elementary knowledge for granted, Lancelot Hogben leads readers of this famous book through the whole course from simple arithmetic to calculus. His illuminating explanation is addressed to the person who wants to understand the place of mathematics in modern civilization but who has been intimidated by its supposed difficulty. Mathematics is the language of size, shape, and order—a language Hogben shows one can both master and enjoy. .
0393300358
Student Edition teaching understanding of postive and negative numbers, using a coordinate system, and using the order of operations
003038561X
Student Edition teaching understanding of postive and negative numbers, using a coordinate system, and using the order of operations
003038561X
This book gives a remarkably fine account of the influences mathematics has exerted on the development of philosophy, the physical sciences, religion, and the arts in Western life.
019500714X
Aligned with NCTM Standards, this brief book helps teachers in elementary, middle, and high schools to become better acquainted with some of the resource materials and information available on the Internet for teaching mathematics.
FEATURES:Annotated list of websites—Contains a list of websites that offer resources for teaching mathematics and professional development opportunities.
Reduces time teachers spend searching for these resources.
NEW! receive a code to a website that links you directly to each URL listed in the book. Examples—Presents additional useful examples on using the Internet.
Assists readers in using and understanding the developing world of information technology for teaching mathematics. NCTM Principles and Standards for School Mathematics overview.
Provides useful information regarding mathematics reform, presents an example of teaching mathematics that reflects the NCTM standards, and gives students a clear basis for understanding modification in mathematics.
0131715828
Classroom resource book to help students investigate shape and space, and also explore algebra and the properties of numbers
0952381516
Teaching Strategies for Grades 6-8 Mathematics. Ideal for Lesson Study. 83 pages.
0078699304
Developed from a course for students in a variety of fields, this highly readable volume covers a vast array of subjects, including number theory, topology, set theory, geometry, algebra, and analysis. Starting with questions on weighing, the primes, the fundamental theory of arithmetic, and rationals and irrationals, the text also surveys the representation of numbers, congruence, probability, much more. Several useful appendices, plus answers, comments for selected exercises. 1994 edition.
0716704366
Using a host of hilarious characters, Kjartan Poskitt presents all the tricks, tips and shortcuts to statistics they don't teach at school. In this book, readers will find out how fractions can save them from the toxic mutant fish of Fastbuck, what makes Pongo McWhiffy a mathematical freak, and travel to Planet Mean to discover how averages can be absolutely revolting. Guarantee: this book contains absolutely no sums!
1407107097
Stretch Your Powers of Logical thinking to the limit with over 250 tortuous Puzzles.
0760708460
Math difficulties are more a matter of attitude, not aptitude. The authors debunk ``math myths,'' explore the roots of math anxiety and demonstrate that doing math is not really so different from any other skill.
007035281X
A history of freedom in Western culture traces the evolution of this cherished idea from ancient times to the modern day. Reprint. National Book Award winner. NYT.
0465046290
This is a beautiful designed large format edition of the classic THE MIS-EDUCATION OF THE NEGRO by Carter G. Woodson. One of the most important books on education ever written.
1441408231
Puzzlers will feel fit to be tied - Dog Tied: If Fido is tied to a 10-foot-long rope, and his bone is 15 feet away, how is it possible that he can reach and enjoy his bone without breaking or stretching the rope? (And yes - the rope IS tied to something.) There's fun in finding the answer to this and other cool number-based problems. Dust off your mathematics and get solving. The intriguing enigmas include questions on interstellar communications, ancient geometry (Pythagoras and Plato), and even traffic patterns in "gridlock city." Or play the grasshopper jumping game. It's all fascinating.
186105596X
This book contains over 100 challenging problems for pupils aged 11-15, taken from the hugely popular UK Junior Mathematical Olympiad. There are also sixty additional problems in a similar style. The second section of the book consists of detailed comments and hints, while the third section gives outline solutions. These high quality, more challenging problems will provide an excellent and invaluable resource for all mathematics teachers.
0521585686
Another collection of problems from best-selling author Ross Honsberger. He presents a selection drawn from probability, number theory, combinatorics, and geometry, and provides ingenious solutions and/or intriguing results. All of the problems presented in the volume are accessible to anyone with an interest in mathematics.
0883853140
"To respect the many differences between people"this is what Howard Gardner says is the purpose of learning about multiple intelligences (MI). Now, in the 2nd edition of "Multiple Intelligences in the Classroom," Thomas Armstrong has updated his best-selling practical guide for educators, to incorporate new research from Gardner and others. Gardner's original studies suggested that the mind comprises seven intelligenceslinguistic, logical-mathematical, spatial, bodily-kinesthetic, musical, interpersonal, and intrapersonal.
This new edition includes information on the eighth intelligence (the naturalist), a chapter on a possible ninth intelligence (the existential), and updated information and resources throughout the text to help educators at all levels apply MI theory to curriculum development, lesson planning, assessment, special education, cognitive skills, educational technology, career development, educational policy, and more. The book includes dozens of practical tips, strategies, and examples from real schools and districtsas well as solid outcomes of MI, including improved test scores and discipline. Armstrong provides tools, resources, and ideas that educators can immediately use to help students of all ages achieve their fullest potential in life.
Thomas Armstrong, an educator and psychologist from Sonoma County, California, has more than 27 years of teaching experience, from the primary through the doctoral level. He is the author of two other ASCD books, "Awakening Genius in the Classroom" and "ADD/ADHD Alternatives in the Classroom."
1416607897
Never dared before, "Murderous Maths of Everything" is one big book with all the answers to everything in maths. And it's in cool colour, too! Readers can join the cast of crazy characters on a tour of the Murderous Maths building to discover the darkest and deadliest mathematical secrets. Discover how to make birthdays last twice as long, how the number 1 starts fights, how triangles lead to murder and much more. Put an end to maths misery, once and for all.
1407103679
Run for cover, because Mutant Sudoku is on the loose! Thomas Snyder and Wei-Hwa Huang are both U.S. Sudoku Champions, and they’ll have you filling in grids of all shapes and sizes, testing parts of your logical mind that have never been tested before. You will marvel at the ingenuity within these pages, and after experiencing the power of these Mutant Sudoku, normal 9 x 9 puzzles will never seem the same again.
1402765029
The things women will do–to men and to each other–in search of love
Veron Darcey is a twentysomething African American woman who wants it all: a successful career, an upwardly mobile life, and a loving, attentive man. But the last few men Veron has been with have either added her to their five-woman rotation or relegated her to the dreaded “just friends” zone.
After one particularly bad date, Veron caves in and asks her best friend, Demetria Sparks, to share her secrets. Demetria is a gorgeous woman who has something special–men line up to paint her toenails and lavish her with Caribbean cruises and diamond rings. Demetria tries to give Veron a mind-and-body makeover, but sweet Veron struggles with being aggressive. And when Demetria demonstrates her method on Veron’s dream guy, Seaphes, his lack of interest provokes her to pull out all the stops–and forces Veron into a fierce competition between mentor and student. With pressure (and sexual tension) mounting, Veron begins to wonder if changing herself is a mistake. But is it too late to back off her new game now that she’s gotten a juicy taste of just what she’s capable of?
0307393771
Noted expert selects 70 "short" puzzles. The Returning Explorer, The Mutilated Chessboard, Scrambled Box Tops, and 67 more. Solutions included.
0486281523
biographical and background material so that the reader can understand the crosscurrents of mathematical research
B000K0PZT6
This volume explains ideas in mathematics to the non-specialist, highlighting the field's philosophical and historical interest. The main topics discussed are non-Euclidean geometry, number theory, with its application to cryptography, and fractals.
0691025622
Making connections becomes increasingly important as students proceed through middle school and high school. This book shows ways of embedding connective processes in instruction in grades 9-12. Problems invite mathematical modeling, unify diverse content, call for different representations, and encourage students to look back at their work to find connections. Activities feature such tasks as determining a dosage schedule for a prescription drug, making transit graphs to maximize travel through a canal, and deciding when to accept a double dare in a simple game. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.
0873535766
Throughout history, the need for more sophisticated measurements has led to the discovery of more sophisticated mathematics. This book highlights this important idea in activities that help students explore an array of measurement strategies and techniques. Investigations probe ancient methods for performing such tasks as measuring the speed of ships at sea and estimating the distance of the sun from the earth. Students apply simple formulas to measure complex shapes, explore iterative processes that lead to measurement formulas, and develop an original formula for measuring the size of a tree. They also discover how to use advanced technology to make measurements and mathematical models of complex real-world phenomena. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.
0873535464
This book's activities probe rational and irrational numbers and investigate properties of integers and complex numbers. They explore numbers and operations embedded in physical objects and show how simple problems can lead to sophisticated considerations. Students examine the usefulness of irrational numbers in designing musical scales and of prime numbers in devising encryption schemes, for example, and they discover powerful ideas from graph theory in a concrete context of dikes, towers, and enclosed regions. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.
0873535855
This book assists high school teachers in honing their students' thinking by introducing them to two approaches to probability and exploring both approaches in real-world contexts. The first approach, which interprets probability as relative frequency over the long run, uses actual or simulated data from many experiments to arrive at empirical probabilities. The second approach analyzes outcomes abstractly to arrive at theoretical probabilities. The supplemental CD-ROM features interactive electronic activities, master copies of activity pages for students, and additional readings for teachers.
0873535251
Teaching is a lifelong challenge, but the first few years in the classroom are typically among a teacher's hardest. This collection of writings and reflectionssome by new teachers, others by veterans with decades of experience to shareoffers practical guidance on how to effectively navigate the school system, how to form rewarding professional relationships with colleagues, and how to connect in meaningful ways with students and families from all cultures and backgrounds. This book is ideal for teacher education courses, new teacher induction programs, mentoring programs, and alternative certification programs.
0942961455
Teaching is a lifelong challenge, but the first few years in the classroom are typically among a teacher's hardest. This collection of writings and reflectionssome by new teachers, others by veterans with decades of experience to shareoffers practical guidance on how to effectively navigate the school system, how to form rewarding professional relationships with colleagues, and how to connect in meaningful ways with students and families from all cultures and backgrounds. This book is ideal for teacher education courses, new teacher induction programs, mentoring programs, and alternative certification programs.
0942961455
A note-taking guide for every lesson in the Student Edition Noteables allows students to: * Build vocabulary * Organize and take notes * Work out examples and exercises * Review for chapter test
0078793637
A Note-takiing Guide for every Lesson in the Student Edition. Build Your Vocabulary: Allows Students to include Vocabulary in their Notes. Foldables: Help Students create 3-D Study Organizers. Bringing it all Together: Helps Students review for the Chapter Test. Are You Ready for the Chapter Test?: Assesses Students' Readiness. 296 pages.
0078790417
A symbol for what is not there, an emptiness that increases any number it's added to, an inexhaustible and indispensable paradox. As we welcome the new millennium, zero is once again making its presence felt. Nothing itself, it makes possible a myriad of calculations. Indeed, without zero mathematics as we know it would not exist. And without mathematics our understanding of the universe would be vastly impoverished. But where did this nothing, this hollow circle, come from? Who created it? And what, exactly, does it mean?
Robert Kaplan's The Nothing That Is: A Natural History of Zero begins as a mystery story, taking us back to Sumerian times, then to Greece and India, piecing together the way the idea of a symbol for nothing evolved. For Kaplan, the history of zero is a lens for looking not only into the evolution of mathematics but into very nature of human thought. He points out how the history of mathematics is a process of recursive abstraction: how once a symbol is created to represent an idea, that symbol itself gives rise to new operations that in turn lead to new ideas. The beauty of mathematics is that even though we invent it, we seem to be discovering something that already exists.
The joy of that discovery shines from Kaplan's pages, as he ranges from Archimedes to Einstein, making fascinating connections between mathematical insights from every age and culture.
0195142373
The international best-seller that makes mathematics a thrilling exploration.
In twelve dreams, Robert, a boy who hates math, meets a Number Devil, who leads him to discover the amazing world of numbers: infinite numbers, prime numbers, Fibonacci numbers, numbers that magically appear in triangles, and numbers that expand without . As we dream with him, we are taken further and further into mathematical theory, where ideas eventually take flight, until everyone-from those who fumble over fractions to those who solve complex equations in their heads-winds up marveling at what numbers can do.
Hans Magnus Enzensberger is a true polymath, the kind of superb intellectual who loves thinking and marshals all of his charm and wit to share his passions with the world. In The Number Devil, he brings together the surreal logic of Alice in Wonderland and the existential geometry of Flatland with the kind of math everyone would love, if only they had a number devil to teach it to them.
0805062998
The new Seventh Edition of Burden and Faires' well-respected Numerical Analysis provides a foundation in modern numerical-approximation techniques. Explaining how, why, and when the techniques can be expected to work, the Seventh Edition places an even greater emphasis on building readers' intuition to help them understand why the techniques presented work in general, and why, in some situations, they fail. Applied problems from diverse areas, such as engineering and physical, computer, and biological sciences, are provided so readers can understand how numerical methods are used in real-life situations. The Seventh Edition has been updated and now addresses the evolving use of technology, incorporating it whenever appropriate.
053491585X
What mathematics should be learned by today's young people, as well as tomorrow's workforce? "On the Shoulders of Giants" is a vision of richness of mathematics expressed in essays on change, dimension, quantity, shape, and uncertainty, each of which illustrate fundamental strands for school mathematics. These essays expand on the idea of mathematics as the language and science of patterns, allowing us to realize the importance of providing hands-on experience and the development of a curriculum that will enable students to apply their knowledge to diverse numerical problems.
0309042348
"A diary for a social entrrepreneur, an inspiring how-to guide for young people with big dreams, a thoughtful tale of the ups and downs of a decade at the stunningly successful non-profit organization"New York Times
From her dorm room at Princeton University, twenty-one-year-old college senior Wendy Kopp decided to launch a movement to improve public education in America. In One Day, All Children... , she shares the remarkable story of Teach For America, a non-profit organization that sends outstanding college graduates to teach for two years in the most under-resourced urban and rural public schools in America. The astonishing success of the program has proven it possible for children in low-income areas to attain the same level of academic achievement as children in more privileged areas and more privileged schools.
One Day, All Children... is not just a personal memoir. It's a blueprint for the new civil rights movementa movement that demands educational access and opportunity for all American children.
1586481797
Martin Gardner continues to delight readers in Origami, Eleusis, and the Soma Cube, which is the second volume in the new Cambridge series, The New Martin Gardner Mathematical Library, based off his enormously popular Scientific American columns. He introduces young and old readers alike to the Generalized Ham Sandwich Theorem, origami, digital roots, magic squares, the mathematics of cooling coffee, the induction game of Eleusis, Dudeney puzzles, the maze at Hampton Court Palace, and many more mathematical puzzles and principles. Now the author, in consultation with experts, has added updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries, to challenge and fascinate a new generation of readers.
0521735246
Who hasn't feared the math Minotaur in its labyrinth of abstractions? Now, in Out of the Labyrinth, Robert and Ellen Kaplanthe founders of The Math Circle, the popular learning program begun at Harvard in 1994reveal the secrets behind their highly successful approach, leading readers out of the labyrinth and into the joyous embrace of mathematics. Written with the same wit and clarity that made Robert Kaplan's The Nothing That Is an international bestseller, Out of the Labyrinth offers an engaging and practical guide for parents and educators, and a delight for anyone interested in sharing the pleasures of mathematics. The Kaplans argue that math should be taught as the highest form of intellectual play, an endeavor to be explored and enjoyed by children (or adults) of any age. Enhanced throughout with puzzles, practical equations, and colorful anecdotes from their own classrooms, Out of the Labyrinth will allow students, parents, teachers, and others to wrestle with the accessible mysteries of mathand discover their inner math genius.
0195368525
ISBN # 1559532513. The primary purpose of PATTERNS unit in the year 1 curriculum is to introduce students to the ways of working and thinking about mathematics that may be new to them. It is an overall introduction to the IMP curriculum. The IMP (Interactive Mathematics Program) has created a four year program of problem-based mathematics that replaces the traditional Algebra 1- Geometry-Albegra II/Trigonometry-Precalculus sequence that is designed to exemplify the cirriculum reform called for in the Curriculum and Evaluation Standards of the National Council of Teachers of Mathematics The IMP curriculum integrates traditional material with additional topics such as statistics, probability, curve fitting and matrix algebra.
1559532513
ISBN # 1559532513. The primary purpose of PATTERNS unit in the year 1 curriculum is to introduce students to the ways of working and thinking about mathematics that may be new to them. It is an overall introduction to the IMP curriculum. The IMP (Interactive Mathematics Program) has created a four year program of problem-based mathematics that replaces the traditional Algebra 1- Geometry-Albegra II/Trigonometry-Precalculus sequence that is designed to exemplify the cirriculum reform called for in the Curriculum and Evaluation Standards of the National Council of Teachers of Mathematics The IMP curriculum integrates traditional material with additional topics such as statistics, probability, curve fitting and matrix algebra.
1559532513
This unique book explains the theory behind peer-led team learning, offers suggestions for successful implementation (including how to write effective group problems and how to train peer leaders), discusses how to evaluate the success of the program, and answers frequently asked questions. This comprehensive and versatile book covers a wide range of topics. For anyone interested in learning about general chemistry.
0130288055
Peer-Led Team Learning is an innovate model in science education. This book is designed for peer leaders. Part I provides background, advice, and scenarios on areas such as learning theory, group dynamics, and conflict resolution. Part II is an extensive anthology of readings in related areas. This comprehensive, versatile book includes an extensive anthology of readings. Covers a wide range of topics including, race, class, and gender; students with disabilities; student-leader relationships; homophobia, biphobia, and heterosexism; and many more. Ideal for readers interested in Cooperative Learning.
0130408115
"Murderous Maths" has been given a gorgeous new cover look. For readers floundering with their formulas, the next in the unchallenged "Murderous Maths" series, the Perfect sausage, reveals how to make the perfect fried egg, get your fair share of the gangster's leftover pizza and what makes money really interesting. Can the Mathsmobile take the pace? Using a host of hilarious characters, Kjartan Poskitt presents all the tricks, tips and shortcuts to maths they don't teach at school.
140710716X
"Murderous Maths" has been given a gorgeous new cover look. Using a host of hilarious characters, Kjartan Poskitt presents all the tricks, tips and shortcuts to algebra they don't teach at school. Readers must pit their wits against Professor Fiendish in the Foul Formula Challenge and Chainsaw Charlie and his gruesome gang discover that even the simplest maths can be murderous. But look no further: "The Phantom" is here to banish algebraic agony - for good.
1407107135
These volumes consist of a set of interactive based modules that offer a step-by-step introduction to physics and the physical sciences. Through an in-depth study of a few fundamental concepts, readers develop critical scientific reasoning skills. Volume 1 introduces basic physical ideas and includes topics which represent the essential background for the study of physical sciences. Volume 2 extends coverage of several subjects treated in the first volume and introduces additional important topics.
0471144401
Physics by Inquiry An introduction to Physics and the Physical Sciences Physics by Inquiry is the product of more than 20 years of research and teaching experience. Developed by the Physics Education Group at the University of Washington, these laboratory-based modules have been extensively tested in the classroom. Volumes I and II provide a step-by-step introduction to fundamental concepts and basic scientific reasoning skills essential to the physical sciences. Volume III, currently in preparation, extends this same approach to additional topics in the standard introductory physics course. Physics by Inquiry has been successfully used:to prepare preservice and inservice K-12 teachers to teach science as a process of inquiryto help underprepared students succeed in the mainstream science courses that are the gateway to science-related careers.to provide liberal arts students with direct experience in the scientific process, thus establishing a solid foundation for scientific literacy.
047114441X
A concise, provocative analysis of the key concepts and applications of Piaget's thought and work.
0136751407
A concise, provocative analysis of the key concepts and applications of Piaget's thought and work.
013675158X
Liberal education has been under siege. Far-right ideologies in journalism and government have pressed for a uniform curriculum that focuses on the achievements of Western culture. Partisans of the academic left, who hold our culture responsible for the evils of society, have attempted to redress imbalances by fostering multiculturalism in education. In this book, David Bromwich criticises these positions and calls for a return to the tradition of independent thinking that he contends has been betrayed by both left and right. Under the guise of educational reform, says David Bromwich, these groups are in fact engaging in politics by other means.
0300057024
Powerful Teacher Education describes the strategies, goals, content, and processes of seven highly successful and long-standing teacher education programs - Alverno College, Bank Street College, Trinity University, University of California, Berkeley, University of Southern Maine, University of Virginia, and Wheelock College. All these colleges and universities have succeeded in preparing teachers to teach diverse learners to achieve high levels of performance and understanding. In discussing the common features of these programs, Linda Darling-Hammond shows what outstanding teacher education models do and how they do it, and what their graduates accomplish as a result. Powerful Teacher Education also examines the policies, organizational features, resources, and relationships that have enabled these programs to succeed.
0787972738
For anyone who needs to learn calculus, the best place to start is by gaining a solid foundation in precalculus concepts. This new book provides that foundation. It includes only the topics that they’ll need to succeed in calculus. Axler explores the necessary topics in greater detail. Readers will benefit from the straightforward definitions and examples of complex concepts. Step-by-step solutions for odd-numbered exercises are also included so they can model their own applications of what they’ve learned. In addition, chapter openers and end-of-chapter summaries highlight the material to be learned. Any reader who needs to learn precalculus will benefit from this book.
0471614432
This book is about writing in the professional mathematical environment. While the book is nominally about writing, it's also about how to function in the mathematical profession. In many ways, this text complements Krantz's previous bestseller, How to Teach Mathematics. Those who are familiar with Krantz's writing will recognize his lively, inimitable style.
In this volume, he addresses these nuts-and-bolts issues:
Syntax, grammar, structure, and style
Mathematical exposition
Use of the computer and TeX
E-mail etiquette
All aspects of publishing a journal article
Krantz's frank and straightforward approach makes this book particularly suitable as a textbook. He does not avoid difficult topics. His intent is to demonstrate to the reader how to successfully operate within the profession. He outlines how to write grant proposals that are persuasive and compelling, how to write a letter of recommendation describing the research abilities of a candidate for promotion or tenure, and what a dean is looking for in a letter of recommendation. He further addresses some basic issues such as writing a book proposal to a publisher or applying for a job. Readers will find in reading this text that Krantz has produced a quality work which makes evident the power and significance of writing in the mathematics profession.
0821806351
This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and concepts; examine core ideas in major areas of mathematics; describe the achievements of scores of famous mathematicians; explore the impact of mathematics on other disciplines such as biology, finance, and musicand much, much more.
Unparalleled in its depth of coverage, The Princeton Companion to Mathematics surveys the most active and exciting branches of pure mathematics, providing the context and broad perspective that are vital at a time of increasing specialization in the field. Packed with information and presented in an accessible style, this is an indispensable resource for undergraduate and graduate students in mathematics as well as for researchers and scholars seeking to understand areas outside their specialties. Features nearly 200 entries, organized thematically and written by an international team of distinguished contributorsPresents major ideas and branches of pure mathematics in a clear, accessible styleDefines and explains important mathematical concepts, methods, theorems, and open problemsIntroduces the language of mathematics and the goals of mathematical researchCovers number theory, algebra, analysis, geometry, logic, probability, and moreTraces the history and development of modern mathematicsProfiles more than ninety-five mathematicians who influenced those working todayExplores the influence of mathematics on other disciplinesIncludes bibliographies, cross-references, and a comprehensive index
Contributors incude:
Graham Allan, Noga Alon, George Andrews, Tom Archibald, Sir Michael Atiyah, David Aubin, Joan Bagaria, Keith Ball, June Barrow-Green, Alan Beardon, David D. Ben-Zvi, Vitaly Bergelson, Nicholas Bingham, Béla Bollobás, Henk Bos, Bodil Branner, Martin R. Bridson, John P. Burgess, Kevin Buzzard, Peter J. Cameron, Jean-Luc Chabert, Eugenia Cheng, Clifford C. Cocks, Alain Connes, Leo Corry, Wolfgang Coy, Tony Crilly, Serafina Cuomo, Mihalis Dafermos, Partha Dasgupta, Ingrid Daubechies, Joseph W. Dauben, John W. Dawson Jr., Francois de Gandt, Persi Diaconis, Jordan S. Ellenberg, Lawrence C. Evans, Florence Fasanelli, Anita Burdman Feferman, Solomon Feferman, Charles Fefferman, Della Fenster, José Ferreirós, David Fisher, Terry Gannon, A. Gardiner, Charles C. Gillispie, Oded Goldreich, Catherine Goldstein, Fernando Q. Gouvêa, Timothy Gowers, Andrew Granville, Ivor Grattan-Guinness, Jeremy Gray, Ben Green, Ian Grojnowski, Niccolò Guicciardini, Michael Harris, Ulf Hashagen, Nigel Higson, Andrew Hodges, F. E. A. Johnson, Mark Joshi, Kiran S. Kedlaya, Frank Kelly, Sergiu Klainerman, Jon Kleinberg, Israel Kleiner, Jacek Klinowski, Eberhard Knobloch, János Kollár, T. W. Körner, Michael Krivelevich, Peter D. Lax, Imre Leader, Jean-François Le Gall, W. B. R. Lickorish, Martin W. Liebeck, Jesper Lützen, Des MacHale, Alan L. Mackay, Shahn Majid, Lech Maligranda, David Marker, Jean Mawhin, Barry Mazur, Dusa McDuff, Colin McLarty, Bojan Mohar, Peter M. Neumann, Catherine Nolan, James Norris, Brian Osserman, Richard S. Palais, Marco Panza, Karen Hunger Parshall, Gabriel P. Paternain, Jeanne Peiffer, Carl Pomerance, Helmut Pulte, Bruce Reed, Michael C. Reed, Adrian Rice, Eleanor Robson, Igor Rodnianski, John Roe, Mark Ronan, Edward Sandifer, Tilman Sauer, Norbert Schappacher, Andrzej Schinzel, Erhard Scholz, Reinhard Siegmund-Schultze, Gordon Slade, David J. Spiegelhalter, Jacqueline Stedall, Arild Stubhaug, Madhu Sudan, Terence Tao, Jamie Tappenden, C. H. Taubes, Rüdiger Thiele, Burt Totaro, Lloyd N. Trefethen, Dirk van Dalen, Richard Weber, Dominic Welsh, Avi Wigderson, Herbert Wilf, David Wilkins, B. Yandell, Eric Zaslow, Doron Zeilberger
0691118809
Natl Council of Teachers of Mathematics, Reston, VA, 2000. Soft Cover. First edition, VG+ lg. format, 402pp, color illustrated text is bright, clean and fresh-in NF cond.
0873534808
Natl Council of Teachers of Mathematics, Reston, VA, 2000. Soft Cover. First edition, VG+ lg. format, 402pp, color illustrated text is bright, clean and fresh-in NF cond.
0873534808
Problem Solving Strategies Crossing the River with Dogs and Other Mathematical Adventures Why Teach a Course in Problem Solving? The NCTM Principles andStandards state that problem solving should be integrated throughout all courses and grade levels. For example, guess-and-check is a natural strategy to apply in algebra. Advanced math students often use finite differences to study functions and sequences. And drawing a diagram and using physical representations are commonly employed strategies in many contexts. However, many students never encounter valuable strategies such as matrix logic or unit analysis. And in content-crowded math classes, few students get the concentrated practice or time necessary to fully develop their problem-solving skills. By taking a semester course in problem solving, students can master a multitude of strategies while developing confidence in their problem-solving abilities. Your students will be better prepared to meet the challenges of school and life by taking this course.
1559530685
Appropriate for Problem Solving courses throughout all disciplines. May also be used in Mathematics for Elementary School Teachers and Liberal Arts Mathematics courses. *A physics professor, science and mathematics columnist for the Salt Lake Tribune, and author of two trade books of mathematical puzzles and problem solving, R.R. Kadesch has spent the past several years developing a Liberal Education course entitled "Problem Solving Across the Disciplines." *This text, which is based on his course, approaches problem-solving as an important subject in its own right, emphasizing problem-solving strategies that unify learning rather than compartmentalize it. Problem-solving strategies are also shown to relate to all disciplines.
0136541879
Criminal mastermind and evil genius Professor Fiendish has finally achieved his ultimate goal - a Murderous Maths book all to himself. And in a desperate attempt to warp the brains of readers everywhere he has filled it with utterly diabolical puzzles. Readers must pit their wits against their favourite arch enemy and take a trip to the Megavolt Vaults. They can try their hand at the Darts of Doom or play a game of Pass the Posion, before facing the ultimate horror - the bottom of Fiendish's fridge. Remember, it's not called Murderous Maths for nothing.
0439950007
Knowing that the most exciting math is not taught in school, Professor Ian Stewart has spent years filling his cabinet with intriguing mathematical games, puzzles, stories, and factoids intended for the adventurous mind. This book reveals the most exhilarating oddities from Professor Stewart’s legendary cabinet.
Inside, you will find hidden gems of logic, geometry, and probability—like how to extract a cherry from a cocktail glass (harder than you think), a pop-up dodecahedron, and the real reason why you can’t divide anything by zero. Scattered among these are keys to Fermat’s last theorem, the Poincaré conjecture, chaos theory, and the P=NP problem (you’ll win a million dollars if you solve it). You never know what enigmas you’ll find in the Stewart cabinet, but they’re sure to be clever, mind-expanding, and delightfully fun.
0465013023
Coauthored by Larry Wall, the creator of Perl, this book is the authoritative guide to Perl version 5, the scripting utility now established as the programming tool of choice for the World Wide Web, UNIX system administration, and a vast range of other applications. Learn how to use this versatile cross-platform programming language to solve unique programming challenges. This heavily revised second edition of Programming Perl contains a full explanation of Perl version 5.003 features. It covers Perl language and syntax, functions, library modules, references, and object-oriented features. It also explores invocation options for Perl and the utilities that come with it, debugging, common mistakes, efficiency, programming style, distribution and installation of Perl, and much more. Reviewers have called this book splendid, definitive, and well worth the price.
1565921496
From the reviews of the first edition:
"Anyone who enjoys the logic and reasoning of mathematics and has a strong undergraduate mathematics background should enjoy this book...I would imagine that few mathematicians have seen all these proofs. The combination of ideas in many of the proofs should delight mathematicians everywhere." - MAA ONLINE
The (mathematical) heroes of this book are "perfect proofs": brilliant ideas, clever connections and wonderful observations that bring new insight and surprising perspectives on basic and challenging problems from number theory, geometry, analysis, combinatorics, and graph theory. Thirty beautiful examples are presented here. They are candidates for THE BOOK in which God records the perfect proofs - according to the late Paul Erdös, who suggested many of the topics in this collection. The result is a book which will be fun for everybody with an interest in mathematics, requiring only a very modest (undergraduate) mathematical background. For this revised and expanded second edition several chapters have been revised and expanded, and three new chapters have been added.
3540678654
Mathematics is the science of patterns, and mathematicians attempt to understand these patterns and discover new ones using a variety of tools. In Proofs That Really Count, award-winning math professors Arthur Benjamin and Jennifer Quinn demonstrate that many number patterns, even very complex ones, can be understood by simple counting arguments. The book emphasizes numbers that are often not thought of as numbers that count: Fibonacci Numbers, Lucas Numbers, Continued Fractions, and Harmonic Numbers, to name a few. Numerous hints and references are given for all chapter exercises and many chapters end with a list of identities in need of combinatorial proof. The extensive appendix of identities will be a valuable resource. This book should appeal to readers of all levels, from high school math students to professional mathematicians.
0883853337
original problems in math and logic, featuring permutations, combinations, properties of numbers, algebra, solid and plane geometry, logic and probability. Although only high school math is needed to solve these problems, even accomplished mathematicians are likely to find some surprises here. Complete and ingenious solutions provided for all problems. 31 explanatory drawings.
048622256X
At a time when popular solutions to the educational plight of poor children of color are imposed from the outside-national standards, high-stakes tests, charismatic individual saviors-the acclaimed Algebra Project and its founder, Robert Moses, offer a vision of school reform based in the power of communities.
Begun in 1982, the Algebra Project is transforming math education in twenty-five cities. Founded on the belief that math-science literacy is a prerequisite for full citizenship in society, the Project works with entire communities-parents, teachers, and especially students-to create a culture of literacy around algebra, a crucial stepping-stone to college math and opportunity.
Telling the story of this remarkable program, Robert Moses draws on lessons from the 1960s Southern voter registration he famously helped organize: "Everyone said sharecroppers didn't want to vote. It wasn't until we got them demanding to vote that we got attention. Today, when kids are falling wholesale through the cracks, people say they don't want to learn. We have to get the kids themselves to demand what everyone says they don't want."
We see the Algebra Project organizing community by community. Older kids serve as coaches for younger students and build a self-sustained tradition of leadership. Teachers use innovative techniques. And we see the remarkable success stories of schools like the predominately poor Hart School in Bessemer, Alabama, which outscored the city's middle-class flagship school in just three years.
Radical Equations provides a model for anyone looking for a community-based solution to the problems of our disadvantaged schools.
0807031275
Ramanujan occupies a unique place in analytic number theory. His formulas, identities, and calculations are still amazing three-quarters of a century after his death. Many of his discoveries seem to have appeared as if from the ether. His mentor and primary collaborator was the famous G. H. Hardy. Here, Hardy collects twelve of his own lectures on topics stemming from Ramanujan's life and work. The topics include partitions, hypergeometric series, Ramanujan's $\tau$-function and round numbers.
Hardy was the first to recognize the brilliance of Ramanujan's ideas. As one of the great mathematicians of the time, it is fascinating to read Hardy's accounts of their importance and influence. The book concludes with a chapter by chapter overview written by Bruce C. Berndt. In this overview, Berndt gives references to current literature, developments since Hardy's original lectures, and background information on Ramanujan's research, including his unpublished papers.
0821820230
36 pages. Real-World Problem Solving in Graphic Novel Format for Number Sense, Algebraic Thinking, Geometry, Measurement, Statistics and probability, and Mathematical Reasoning. Extra Practice Problems in Multiple-Choice Format. Background and Strategies for Teaching with Graphic Novels.
0078782953
2006 Glencoe/McGraw-Hill Real-World Problem Solving Graphic Novels Book 2 (P) by Douglas Fisher & Nancy Frey ***Includes: *Real-World Problem Solving in Graphic Novel Format for Number Sense, Algebric Thinking, Geometry, Measurement, Statistics and Probability, and Mathematical, Reasoning *Extra Practice Problems in Multiple-Choice Format & *Background and Strategies for Teaching with Graphic Novels ***ISBN-13: 9780078782947 ***Condition: New ***Pages: 36
0078782945
Series: MAA Notes
A valuable resource for anyone teaching linear algebra. This book argues that the teaching of elementary linear algebra can be made more effective by emphasizing applications, exposition, and pedagogy.
= Relevant applications serve as motivation for students and as sources of stimulating and challenging problems.
=Effective exposition that finds the right way to communicate concepts is especially important in the teaching of linear algebra.
=Attention to pedagogy that takes into account how students learn, helps to increase student understanding of the material.
Contains a core syllabus for the first course in linear algebra, and the thoughts of mathematics faculty members who have taught linear algebra using these recommendations.
0883851504
What's so funny about math? Lots! Especially if you're mathematically bent. In the world of Colin Adams, differential equations bring on tears of laughter. Hollywood producers hire algebraic geometers to punch up a script. In this world, math and humor are synonymous. Riot at the Calc Exam is a proof of this fact. A collection of humorous math stories, this book gives a window into mathematics and the culture of mathematicians. Appropriate for mathematicians, math students, math teachers, lay people with an interest in mathematics, and indeed everyone else. This book is a romp through the wild world of mathematics.
0821848178
Chapter 1: Using Arithmetic. Chapter 2: Decimals. Chapter 3: Exponential Notation. Chapter 4: Factors and Multiples. Chapter 5: Percents and Fractions. Chapter 6: Fractions. Chapter 7: Measurement and Area. Chapter 8: Graphing and Functions. Chapter 9: Algebra. Chapter 10: Geometry. Chapter 11: Creating and Visualizing Figures. Chapter 12: Probability and Statistics. 663 pages
0076110931
Using a host of hilarious characters, Kjartan Poskitt presents all the tricks, tips and shortcuts to shapes they don't teach at school. Readers will find out how to command respect throughout the entire Universe, learn why the US defence headquarters is a penagon, and discover the quickest way to get a naked Colonel back to his beach hut.
1407107100
Parents can help their children discover some of the fascinating ways the physical world works with this fun-filled and easy-to-use guide. Emphasizing parent-child sharing, it shows how to avoid "science fear" by drawing on children's natural curiosity to introduce them to basic science concepts.
0805030611
How did life evolve on Earth? The answer to this question can help us understand our past and prepare for our future. Although evolution provides credible and reliable answers, polls show that many people turn away from science, seeking other explanations with which they are more comfortable. In the book, Science, Evolution, and Creationism, a group of experts assembled by the National Academy of Sciences and the Institute of Medicine explain the fundamental methods of science, document the overwhelming evidence in support of biological evolution, and evaluate the alternative perspectives offered by advocates of various kinds of creationism, including "intelligent design." The book explores the many fascinating inquiries being pursued that put the science of evolution to work in preventing and treating human disease, developing new agricultural products, and fostering industrial innovations. The book also presents the scientific and legal reasons for not teaching creationist ideas in public school science classes. Mindful of school board battles and recent court decisions, Science, Evolution, and Creationism shows that science and religion should be viewed as different ways of understanding the world rather than as frameworks that are in conflict with each other and that the evidence for evolution can be fully compatible with religious faith. For educators, students, teachers, community leaders, legislators, policy makers, and parents who seek to understand the basis of evolutionary science, this publication will be an essential resource.
0309105862
Planning math instruction is a demanding aspect of teaching. Teachers need to have an overall sense of the curriculum for the whole year, of what's going to be taught each month, and of what specifically to teach each day. This guide makes it easy to plan all three. It offers helpful mathematical strands organized month by month and covering grade-relevant topics. Includes reproducibles.
0941355551
Using a host of hilarious characters, Kjartan Poskitt presents all the tricks, tips and shortcuts to maths they don't teach at school. Readers will learn how to encode and decode their own messages in as many ways as possible. Can you see this very last paragraph is coded? (Read all the fourth words). The book demonstrates other codes you've probably never really been aware of. Stop waiting therefore and go for it.
1407107151
In a departure from traditional teaching methods, this text focuses on theory more than computations, relying on independent study. Its material is geared toward aspects of high-school mathematics that promise to prove particularly useful for future studies and work. The first of three chapters deals with sequences, their definitions, and methods of mathematic induction. The next chapter addresses combinations, and the final chapter examines limits through a series of introductory problems, problems related to the definition of limit, and problems related to the computation of limits. Answers and hints to the test problems are provided, and "road signs" appear in the margins, marking passages requiring particular attention. 1969 ed.
0486425665
Over the last 15 years, the state of inner-city public schools has been in a steep and continuing decline. Since the federal courts began dismantling the landmark ruling in Brown v. Board of Education, segregation of black children has reverted to its highest level since 1968. In many inner-city schools, a stick-and-carrot method of behavioral control traditionally used in prisons is now used with students. Meanwhile, as high-stakes testing takes on pathological and punitive dimensions, liberal education has been increasingly replaced by culturally barren and robotic methods of instruction that would be rejected out of hand by schools that serve the mainstream of society.
Filled with the passionate voices of children, principals, and teachers, and some of the most revered leaders in the black community, The Shame of the Nation pays tribute to those undefeated educators who persist against the odds, but directly challenges the chilling practices now being forced upon our urban systems by the Bush administration. In their place, Kozol offers a humane, dramatic challenge to our nation to fulfill at last the promise made some 50 years ago to all our youngest citizens.
1400052459
Problem solving is a pleasure - when you can get rid of those mental blocks. That's just what this collection of puzzles helps you do, even as it offers hours of entertainment. There's advice on working through the tough spots and exercising those creative mental muscles. Start with a classic about The Man with No Eyes. He's gone to the woods to view the skies. He sees a tree with apples on it: he takes none off, yet leaves none on. How can this be? Or try the numerical St. Ives Riddle, from a rhyme first published in 1202. Decipher mystery signs, make "symmetry folds," and do the Twenty-Five Point Connect.
1861056265
Detailed Description Primary Mathematics Teacher Guides provide, in both flexibility and detail, a clear framework for the Primary Mathematics textbooks. Each lesson is accompanied by numerous activities which expand and reinforce the concepts for that lesson and which are designed to fit both teachers who wish to adapt lessons to their own classroom situation, and teachers who desire easy-to-follow, effective teaching strategies. Through the notes to the teacher and the detailed objectives for each learning task in the text and activity in the guide, these Teacher Guides help teachers to fully understand the purpose and concept behind each set of problems, both within the context of the unit and the context of the overall curriculum. The teacher's guide contains answers for the textbooks and workbooks. Author: Singaporemath.com Inc. Format: Wirebound Paperback Publisher: Singaporemath.com Inc.
0971491410
Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the various tactics involved in solving mathematical problems at the Mathematical Olympiad level. Covering number theory, algebra, analysis, Euclidean geometry, and analytic geometry, Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only a basic level of mathematics, the text is ideal for students of 14 years and above in pure mathematics.
0199205604
Authored by a leading name in mathematics, this engaging and clearly presented text leads the reader through the various tactics involved in solving mathematical problems at the Mathematical Olympiad level. Covering number theory, algebra, analysis, Euclidean geometry, and analytic geometry, Solving Mathematical Problems includes numerous exercises and model solutions throughout. Assuming only a basic level of mathematics, the text is ideal for students of 14 years and above in pure mathematics.
0199205604
An understanding of the developments in classical analysis during the nineteenth century is vital to a full appreciation of the history of twentieth-century mathematical thought. It was during the nineteenth century that the diverse mathematical formulae of the eighteenth century were systematized and the properties of functions of real and complex variables clearly distinguished; and it was then that the calculus matured into the rigorous discipline of today, becoming in the process a dominant influence on mathematics and mathematical physics.
This Source Book, a sequel to D. J. Struik's Source Book in Mathematics, 1200-1800, draws together more than eighty selections from the writings of the most influential mathematicians of the period. Thirteen chapters, each with an introduction by the editor, highlight the major developments in mathematical thinking over the century. All material is in English, and great care has been taken to maintain a high standard of accuracy both in translation and in transcription. Of particular value to historians and philosophers of science, the Source Book should serve as a vital reference to anyone seeking to understand the roots of twentieth-century mathematical thought.
0674822455
Packing spheres, Reversi, braids, polyominoes, board games, and the puzzles of Lewis Carroll. These and other mathematical diversions return to readers with updates to all the chapters, including new game variations, mathematical proofs, and other developments and discoveries. Read about Knuth's Word Ladders program and the latest developments in the digits of pi. Once again these timeless puzzles will charm readers while demonstrating principles of logic, probability, geometry, and other fields of mathematics.
0521747015
Describes a variety of games and activities with which to explore the science of sports, in such areas as body types, muscles, and water sports.
0201152967
Includes: * Algebra 1 California Mathematics Standards * Practice by Chapter * Four Periodic Assessments
0078795354
``If you are the reader we envision for this book, you have just passed through the most crucial stage of your careerwriting and defending your doctoral thesis in mathematicsonly to discover what lies ahead is, yet again, the most crucial stage of your career: making the choice about what job to take ... It is the time when you make the adjustment from studying in a research institution to earning your keep in industry or academia ... It is the time when you will or will not publish your thesis ... when you will decide to leave research behind or to start new mathematics independently ... or when you will struggle to balance time for students and committees with time in the library ... This book was written largely by people like you ... '' from the Introduction This ``how-to'' book addresses all aspects of a young mathematician's early career development: How do I get good letters of recommendation? How do I apply for a grant? How do I do research in a small department that has no one in my field? How do I do anything meaningful if all I can get is a series of one-year jobs? These articles paint a broad portrait of current professional development issues of interest from the Young Mathematician's Networkfrom finding jobs to organizing special sessions. There are chapters on applying for positions, working in industry and in academia, starting and publishing research, writing grant proposals, applying for tenure, and becoming involved in the academic community. The book offers timely and sound advice offered by recent doctorates through experienced mathematicians. The material originally appeared in the electronic pages of Concerns of Young Mathematicians. The book is devoted exclusively to the early stages of a mathematical career.
0821815431
The Mathematical Sciences Education Board (MSEB) and the U.S. National Commission on Mathematics Instruction (USNCMI) took advantage of a unique opportunity to bring educators together. In August 2000, following the Ninth International Congress on Mathematics Education (ICME-9) in Makuhari, Japan, MSEB and USNCMI capitalized on the presence of mathematics educators in attendance from the United States and Japan by holding a two and a half-day workshop on the professional development of mathematics teachers.This workshop used the expertise of the participants from the two countries to develop a better, more flexible, and more useful understanding of the knowledge that is needed to teach well and how to help teachers to obtain this knowledge. A major focus of the workshop was to discuss teachers & opportunities in both societies - using teaching practice as a medium for professional development. Another focus of the workshop addressed practice by considering the records of teaching, including videos of classroom lessons and cases describing teachers and their work. These proceedings reflect the activities and discussion of the workshop using both print and video to enable others to share in their experience.
0309082528
Subtractive Schooling provides a framework for understanding the patterns of immigrant achievement and U.S.-born underachievement frequently noted in the literature and observed by the author in her ethnographic account of regular-track youth attending a comprehensive, virtually all-Mexican, inner-city high school in Houston. Valenzuela argues that schools subtract resources from youth in two major ways: firstly by dismissing their definition of education and secondly, through assimilationist policies and practices that minimize their culture and language. A key consequence is the erosion of students' social capital evident in the absence of academically-oriented networks among acculturated, U.S.-born youth.
0791443221
2007 Glencoe/McGraw-Hill Math Skills Maintenance Course 3 Workbook Teacher Edition (TE)(P) Contents Include: Practice for 35 Basic Math Skills Necessary for Student Success ***ISBN-13: 9780078788963 ***Condition: New ***Pages: 88
007878896X
ENGAGING ACTIVITIES HELP ELEMENTARY EDUCATORS MAKE THE MOST OF THEIR FIELD EXPERIENCE! Whether it's an observation, a practicum, or professional development school, field experience provides a valuable learning opportunity, Now, elementary educators can make the most of their time in the classroom with TEACHING ELEMENTARY MATHEMATICS: A RESOURCE FOR FIELD EXPERIENCES. This field guide provides a wide range of activities to choose from: In the School activities focus on collecting information about the school and its resources, and observing and interviewing children and teachers. Helping children Learn activities focus on working with children through games, technology, and mini-lessons. Each activity provides opportunities to reflect. An excellent resource that educators can rely on throughout their teaching career!
0471389218
This popular text, Teaching Fractions and Ratios for Understanding, addresses the urgent need for curriculum materials that cross traditional boundaries to include many of the elements that are integrated in the teaching/learning enterprise: mathematics content, teacher understanding, student thinking, teaching methods, instructional activities, and assessment. The book pushes readers beyond the limits of their current understanding of rational numbers, challenging them to refine and explain their thinking—without falling back on rules and procedures they have relied on throughout their lives. Written in a conversational and easy to understand style, this is not a textbook as much as it is a resource book. An underlying assumption is that facilitating teacher understanding using the same questions and activities that may be used with children is one way to help teachers build the comfort and confidence they need to begin talking to children about complex ideas. Unlike a textbook that is used to study formal theory and then discarded when it comes to putting ideas into practice, the many problems and activities included to facilitate teacher learning are valuable resources for use in elementary and middle school classrooms. Changes in the second edition include: • even more student work incorporated in every chapter; • discussion of the connectivity between the topics addressed in the book and the elementary and middle school mathematics curricula; • an increased emphasize on measurement; • expansion of some topics, including number sense, percent, scale factors, similarity, and linear graphs; • clarification of the characteristics of ratio and proportions and how to use these to generate discussion with children; and • content-related interview questions for exploring children's thinking. This book is a valuable resource for researchers and curriculum developers in mathematics education, pre-service and in-service teachers of mathematics, those involved in the mathematical and pedagogical preparation of mathematics teachers, and graduate students in mathematics education. The methods and activities it includes have been tested with students in grades 3-8 and with pre-service and in-service teachers and other adults. This text is accompanied by MORE—a supplement that is not merely an answer key but a resource that includes in-depth discussions of all the problems in the text; develops and extends discussion of the issues, teaching problems, and other considerations raised in the chapters; and contains additional problems—with and without solutions—that instructors may find helpful for assessment purposes.
0805852107
In the first edition of The Teaching Gap, the authors drew on the conclusions of the 1999 Third International Mathematics and Science Study (TIMSS) an innovative study of teaching in several cultures to refocus education reform efforts. Foremost among the authors' initial discoveries was that reform must start with dramatic changes in the culture of teaching. Using videotaped lessons from dozens of randomly selected eighth-grade classrooms in the United States, Japan, and Germany, the authors offered a surprising view of teaching and a bold action plan for improving education inside the American classroom. They called for a cultural shift within schools that would demand perpetual teacher training, with stricter requirements, better peer review, higher academic standards, and more shoptalk between teachers. Ten years on, the authors share their latest discoveries and offer fresh solutions for the American school system, which has long lagged behind international standards in nearly every area of academic achievement. If given the opportunity, teachers can change the way our students learn.
1439143137
For courses in secondary or middle school math. This text focuses on all the complex aspects of teaching mathematics in today's classroom and the most current NCTM standards. It demonstrates how to creatively incorporate the standards into teaching along with inquiry-based instructional strategies. Using one expansive case study that follows a mathematics teacher through his first year in the profession, the text illustrates how to lead pupils toward meaningful mathematics and strategies for developing mathematics skills. Interactive in its approach, the text includes an abundance of illustrative examples, mini case studies, cooperative learning activities, field-based activities, and transitional activities.
0130950181
This title is part of a three-book Teaching Number Sense series that focuses on the critical role that number sense plays in developing mathematical understanding. Number sense encompasses a wide range of abilities, including being able to make reasonable estimates and to think and reason flexibly. These lessons help students develop good number intuition and the ability to see numbers as tools, not barriers. By encouraging young children to reason their way to solutions, teachers help students form a solid foundation upon which all of their later mathematical understanding will be built.
Lessons in this book are organized in an accessible, easy-to-read format that includes an overview, a materials list, the lesson duration, step-by-step teaching directions, and vignettes of how the lesson actually unfolded in a classroom. Each lesson concludes with a list of assessment questions to help guide teacher observations. In this book, children build their understanding of counting, number relationships, and landmark numbers. They also develop computation strategies, further their understanding of composing and decomposing numbers, and develop a beginning sense of place value.
0941355594
The revision of this book introduces the 2000 NCTM Principles and Standards and explains their use for teaching secondary school mathematics instruction. Unlike other books, it utilizes 125 enrichment units to provide the staples in preparing to teach mathematics. The authors provide step-by-step techniques on preparing lessons and tests, motivating students, designing assignments, and organizing the classroom. This valuable book also provides practical teaching methods for immediate use along with answers to typical questions readers have about teaching math. Chapter topics include the mathematics teacher today, long-range and short range planning, teaching more effective lessons, the role of problem solving in the mathematics classroom, using technology to enhance mathematics instruction, authentic assessment and grading strategies, enriching mathematics instruction, and extracurricular activities in mathematics. For mathematics teachers in secondary schools.
0675204224
An instructors manual for the educational reform movement, especially as regards the teaching of statistics. Presents the point of view that students should learn the material through practice, and actually experience the collection, analysis, and interpretation of data. Softcover.
0883851628
A provocative collection of papers containing comprehensive reviews of previous research, teaching techniques, and pointers for direction of future study. Provides both a comprehensive assessment of the latest research on mathematical problem solving, with special emphasis on its teaching, and an attempt to increase communication across the active disciplines in this area.
0898596815
A guide to Right Brain/Left Brain education
0671622390
Hard cover. Thirty-third Yearbook. 433 pages. 6 1/4 x 9 1/4 inches. Tan covers. Title is in gold color with a black background.
B000UYF79A
Willinsky offers a starting point from which to rethink our understanding of "information exasperation," and adds new insight into how to make the uses of information more democratic.
0807061077
Unfinished Business illuminates the challenges in overcoming the current inequities in public education. Fifty years after Brown v. Board of Education, this book exposes a "tale of two schools" where students walk through the same high school doors but remain racially and academically segregated within—a condition mirrored in urban schools and districts across the nation. The authors offer a hopeful, yet urgent, call to invest in youth on the front side of life and to hold fast to the vision of a future where all children can truly learn, achieve, and dream to their highest potential.
0470384441
Unfolding Mathematics With Unit Origami At last-an origami book designed specifically for mathematics classrooms! Origami books are typically written by origami experts and aimed at origami enthusiasts. This art form lends itself wonderfully to teaching mathematicsbut it's been up to you to find ways to do it. Now comes Unfolding Mathematics with Unit Origami, designed especially for algebra and geometry students in high school or middle school. Its elegant illustrations and detailed folding and assembly instructions enable you and your students to create beautiful and intriguing three-dimensional origami models. Its 16 absorbing activitiesall in blackline master formhave been carefully prepared in order of increasing difficulty of both folds and mathematical concepts. Through origami folding sequences, basic mathematical ideas reveal themselves: algebraic and angle relationships and different types of symmetry in two and three dimensions will engage your students'interest in new ways. You can choose activities from anywhere in the book, but if you move from front to back you'll cover an amazingly broad range of mathematical topics. And while the book's purpose is to teach mathematics, it also introduces students to the art of origami and contributions made to that art by noted origami experts, such as Tomoko Fus, Kunihiko Kasahara, David Masunaga, and Robert Neale. Most activities can be done in one class period and offer opportunities for group work, journal writing, and projects. Autobiographical vignettes by origami artists introduce students to origami culture and prompt students to discuss their own experiences with origami. The overview explains how you can best use this book in your classroom, including methods for assessing student work. Every activity gives you teaching ideas and strategies, as well as suggestions for extensions of the activity. There's also a glossary of terms and a list of recommended readings.
1559532750
A riveting history of counting and calculating from the time of the cave dwellers to the late twentieth century, The Universal History of Numbers is the first complete account of the invention and evolution of numbers the world over. As different cultures around the globe struggled with problems of harvests, constructing buildings, educating their citizens, and exploring the wonders of science, each civilization created its own unique and wonderful mathematical system.
Dubbed the "Indiana Jones of numbers," Georges Ifrah traveled all over the world for ten years to uncover the little-known details of this amazing story. From India to China, and from Egypt to Chile, Ifrah talked to mathematicians, historians, archaeologists, and philosophers. He deciphered ancient writing on crumbling walls; scrutinized stones, tools, cylinders, and cones; and examined carved bones, elaborately knotted counting strings, and X-rays of the contents of never-opened ancient clay accounting balls. Conveying all the excitement and joy of the process of discovery, Ifrah writes in a delightful storytelling style, recounting a plethora of intriguing and amusing anecdotes along the way.
From the stories of the various ingenious ways in which different early cultures used their bodies to count and perfected the use of the first calculating machine-the hand-to the invention of different styles of tally sticks, up through the creation of alphabetic numbers, the Greek and Roman numeric systems, and the birth of modern numerals in ancient India, we are taken on a marvelous journey through humankind's grand intellectual epic.
We meet those who only count to four-anything more is "a lot"; discover the first uses of counting fingers and toes; learn of the amazing ability of abacus users to calculate with brilliant efficiency; and ponder the intriguing question: How did many cultures manage to calculate for all those centuries without a zero? Exploring the many ways civilizations developed and changed their mathematical systems, Ifrah imparts a unique insight into the nature of human thought-and into the ways our understanding of numbers and how they shape our lives has slowly changed and grown over thousands of years.
In this illuminating and entertaining work, you'll learn about: The earliest calculating machinethe handTally sticksaccounting for beginnersHow the Sumerians did their sumsGreek and Roman numeralsThe invention of alphabetic numeralsThe achievements of the Mayan civilizationIndia and the birth of modern numbersIndo-Arabic numerals and how they reached the WestThe final stage of numerical notation
Praise for The Universal History of Numbers
"Let us start the year with a bang. Georges Ifrah is the man. This book, quite simply, rules. . . . It is outstanding, and not least because it has been written from first principles, for people like you and me, curious but by no means expert . . . a mind-boggling and enriching experience."-The Guardian
"Pursuing the invention of numbers across civilizations, Georges Ifrah has written the grand story of human ingenuity. . . . His amazing undertaking, describing humankind's relationship with numbers from Paleolithic times to the computer age, spans the world from Mayan ruins to Indian museums, from Egyptian hieroglyphics to Greek philosophers to Chinese libraries."-Le Figaro
"Follow the astonishing path of Georges Ifrah, the Indiana Jones of arithmetic . . . who decided in 1974 to begin the search for his Grail, the origin of numbers. Journeying over mountains and across valleys, he discovered how-from Mayan to Chinese, from Indian to Egyptian-humankind has juggled numbers."-Express
"Ifrah's book amazes and fascinates . . . It is nothing less than thehistory of the human race told through figures."-International Herald Tribune
0471375683
Mathematicians and Educators Investigate the Mathematics Needed for Teaching (K-8). Critical Issues in Mathematics Education Series, Volume 2.
Includes: Index and Suggestions for Further Reading.
B000FFHQZ2
"A lucid representation of the fundamental concepts and methods of the whole field of mathematics. It is an easily understandable introduction for the layman and helps to give the mathematical student a general view of the basic principles and methods."Albert Einstein (on the first edition)
For more than two thousand years a familiarity with mathematics has been regarded as an indispensable part of the intellectual equipment of every cultured person. Today, unfortunately, the traditional place of mathematics in education is in grave danger. The teaching and learning of mathematics has degenerated into the realm of rote memorization, the outcome of which leads to satisfactory formal ability but not to real understanding or greater intellectual independence. This new edition of Richard Courant's and Herbert Robbins's classic work seeks to address this problem. Its goal is to put the meaning back into mathematics.
Written for beginners and scholars, for students and teachers, for philosophers and engineers, What is Mathematics?, Second Edition is a sparkling collection of mathematical gems that offers an entertaining and accessible portrait of the mathematical world. Covering everything from natural numbers and the number system to geometrical constructions and projective geometry, from topology and calculus to matters of principle and the Continuum Hypothesis, this fascinating survey allows readers to delve into mathematics as an organic whole rather than an empty drill in problem solving. With chapters largely independent of one another and sections that lead upward from basic to more advanced discussions, readers can easily pick and choose areas of particular interest without impairing their understanding of subsequent parts. Brought up to date with a new chapter by Ian Stewart, What is Mathematics, Second Edition offers new insights into recent mathematical developments and describes proofs of the Four-Color Theorem and Fermat's Last Theorem, problems that were still open when Courant and Robbins wrote this masterpiece, but ones that have since been solved.
Formal mathematics is like spelling and grammar: a matter of the correct application of local rules. Meaningful mathematics is like journalism: it tells an interesting story. But unlike some journalism, the story has to be true. The best mathematics is like literature: it brings a story to life before your eyes and involves you in it, intellectually and emotionally. What is Mathematics is a marvelously literate story: it opens a window onto the world of mathematics for anyone interested to view.
0195105192
There is very little research and writing done by urban educators to document effective practices in urban schools. In response, this book has been written by a long-time urban classroom teacher and coach to provide insight into effective program building and educational practices. The book rejects the up-by-your-bootstraps theory of success, offering in its place a set of concrete strategies to teachers and educational leaders who are committed to fundamentally rethinking the business-as-usual approach which continues to fail urban school children. This book is well-suited for classes working with educational leaders, classroom teachers, sports coaches, and educational researchers.
0820479055
Nearly a quarter of a century ago, three mathematicians created the first and definitive book on mathematical games. Now, this classic is being republished in a completely revised edition, broken down into four volumes to accommodate new developments and to reorganize the material in the most accessible way. In Volume 1, the authors present theories and techniques to dissect games of varied structures and formats in order to develop winning strategies. The irreverent yet highly effective style of the book, as reflected in some of the reviews, makes reading a profitable pleasure. The inclusion of many examples helps the reader to put the mathematical analysis to immediate use.
1568811306
In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games. Now carefully revised and broken down into four volumes to accommodate new developments, the Second Edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended with their witty and irreverent style, make reading a profitable pleasure.
In Volume 2, the authors have a Change of Heart, bending the rules established in Volume 1 to apply them to games such as Cut-cake and Loopy Hackenbush.
From the Table of Contents:
If You Can't Beat 'Em, Join 'Em
Hot Bottles Followed by Cold Wars
Games Infinite and Indefinite
Games EternalGames Entailed
Survival in the Lost World
156881142X
In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games. Now carefully revised and broken down into four volumes to accommodate new developments, the second edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended with their witty and irreverent style, make reading a profitable pleasure.
In Volume 3, the authors examine Games played in Clubs, giving case studies for coing and paper-and-pencil games, such as Dots-and-Boxes and Nimstring.
1568811438
In the quarter of a century since three mathematicians and game theorists collaborated to create Winning Ways for Your Mathematical Plays, the book has become the definitive work on the subject of mathematical games.
Now carefully revised and broken down into four volumes to accommodate new developments, the second edition retains the original's wealth of wit and wisdom. The authors' insightful strategies, blended with their witty and irreverent style, make reading a profitable pleasure.
In Volume 4, the authors present a Diamond of a find, covering one-player games such as Solitaire.
1568811446
The publication of the first editions of Workshop Statistics (part of the FIPSE and NSF funded Workshop Mathematics Project at Dickinson College) in its three versions established the texts as the most popular for courses stressing active learning in introductory statistics. Workshop Statistics: Discovery with Data 2nd edition features new pedagogical ideas that have proven to be successful with instructors and students. The Workshop approach fosters active learning, and eliminates the distinction between the conventional lecture and laboratory. Using this method every student is actively engaged in learning the material through reading, thinking, discussing, computing, interpreting, and writing. This approach is also well suited to collaborative learning, and stresses the importance of developing communication skills.
1930190034
In Wrestling with Change, Lew Romagnano details his and a colleague's experiences transforming two ninth grade general mathematics classrooms into problem-centered environments.
0435083422
In her usual engaging style, Marilyn Burns conveys the role writing can play when incorporated into math lessons. Numerous examples illustrate how students sort, clarify, and define their thinking through different types of writing-journal writing, solving math problems, explaining mathematical ideas, and creative writing about math. This invaluable and inspiring resource also includes assessment strategies, practical teaching tips and suggestions, answers to frequently asked questions, and samples of student work.
0941355136
Meier and Rishel explore the hows and whys of writing in mathematics. How to get started? How to grade assignments? How to introduce good writing into a maths course, and why you should care to do this? And most importantly, why is it so important to get students speaking and writing about mathematics anyway? This book should provide anybody involved in the teaching of mathematics with useful and constructive tools to examine the assignments they are using and the goals they hope to accomplish with them.
088385158X
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