The Math Instinct

Why You're a Mathematical Genius (Along with Lobsters, Birds, Cats, and Dogs)

Author: Keith Devlin

Publisher: Basic Books

ISBN: 0786736186

Category: Science

Page: 288

View: 8070

There are two kinds of math: the hard kind and the easy kind. The easy kind, practiced by ants, shrimp, Welsh Corgis -- and us -- is innate. But what innate calculating skills do we humans have? Leaving aside built-in mathematics, such as the visual system, ordinary people do just fine when faced with mathematical tasks in the course of the day. Yet when they are confronted with the same tasks presented as "math," their accuracy often drops. If we have innate mathematical ability, why do we have to teach math and why do most of us find it so hard to learn? Are there tricks or strategies that the ordinary person can do to improve mathematical ability? Can we improve our math skills by learning from dogs, cats, and other creatures that "do math?" The answer to each of these questions is a qualified yes. All these examples of animal math suggest that if we want to do better in the formal kind of math, we should see how it arises from natural mathematics. From NPR's "Math Guy," The Math Instinct is a real celebration of innate math sense and will provide even the most number-phobic readers with confidence in their own mathematical abilities.
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The Math Instinct

Why You're a Mathematical Genius (Along with Lobsters, Birds, Cats, and Dogs)

Author: Keith Devlin

Publisher: Hachette UK

ISBN: 0786736186

Category: Science

Page: 288

View: 2622

There are two kinds of math: the hard kind and the easy kind. The easy kind, practiced by ants, shrimp, Welsh Corgis — and us — is innate. But what innate calculating skills do we humans have? Leaving aside built-in mathematics, such as the visual system, ordinary people do just fine when faced with mathematical tasks in the course of the day. Yet when they are confronted with the same tasks presented as "math," their accuracy often drops. If we have innate mathematical ability, why do we have to teach math and why do most of us find it so hard to learn? Are there tricks or strategies that the ordinary person can do to improve mathematical ability? Can we improve our math skills by learning from dogs, cats, and other creatures that "do math?" The answer to each of these questions is a qualified yes. All these examples of animal math suggest that if we want to do better in the formal kind of math, we should see how it arises from natural mathematics. From NPR's "Math Guy," The Math Instinct is a real celebration of innate math sense and will provide even the most number-phobic readers with confidence in their own mathematical abilities.
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The Math Instinct

Why You're a Mathematical Genius (along with Lobsters, Birds, Cats and Dogs)

Author: Keith J. Devlin

Publisher: Basic Books

ISBN: 9781560258391

Category: Mathematics

Page: 279

View: 2587

National Public Radio's "Math Guy" explains why humans possess a remarkable capacity for "natural" math while offering words of confidence for the multitudes who are afraid of math.
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The Handy Math Answer Book

Author: Patricia Barnes-Svarney,Thomas E Svarney

Publisher: Visible Ink Press

ISBN: 1578593883

Category: Mathematics

Page: 528

View: 3777

From modern-day challenges such as balancing a checkbook, following the stock market, buying a home, and figuring out credit card finance charges to appreciating historical developments by Pythagoras, Archimedes, Newton, and other mathematicians, this engaging resource addresses more than 1,000 questions related to mathematics. Organized into chapters that cluster similar topics in an easily accessible format, this reference provides clear and concise explanations about the fundamentals of algebra, calculus, geometry, trigonometry, and other branches of mathematics. It contains the latest mathematical discoveries, including newly uncovered historical documents and updates on how science continues to use math to make cutting-edge innovations in DNA sequencing, superstring theory, robotics, and computers. With fun math facts and illuminating figures, The Handy Math Answer Book explores the uses of math in everyday life and helps the mathematically challenged better understand and enjoy the magic of numbers.
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Life by the numbers

Author: Keith J. Devlin

Publisher: John Wiley & Sons Inc

ISBN: 9780471240440

Category: Mathematics

Page: 214

View: 1837

Featuring more than 180 photographs and illustrations, the companion book to the forthcoming PBS series hosted by Danny Glover reveals the myriad fascinating ways mathematical ideas can explain the world. 50,000 first printing. $100,000 ad/promo. TV tie-in.
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Mathematical Mindsets

Unleashing Students' Potential through Creative Math, Inspiring Messages and Innovative Teaching

Author: Jo Boaler

Publisher: John Wiley & Sons

ISBN: 1118418271

Category: Education

Page: 320

View: 1638

Banish math anxiety and give students of all ages a clear roadmap to success Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler—Stanford researcher, professor of math education, and expert on math learning—has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students. There is a clear gap between what research has shown to work in teaching math and what happens in schools and at home. This book bridges that gap by turning research findings into practical activities and advice. Boaler translates Carol Dweck's concept of 'mindset' into math teaching and parenting strategies, showing how students can go from self-doubt to strong self-confidence, which is so important to math learning. Boaler reveals the steps that must be taken by schools and parents to improve math education for all. Mathematical Mindsets: Explains how the brain processes mathematics learning Reveals how to turn mistakes and struggles into valuable learning experiences Provides examples of rich mathematical activities to replace rote learning Explains ways to give students a positive math mindset Gives examples of how assessment and grading policies need to change to support real understanding Scores of students hate and fear math, so they end up leaving school without an understanding of basic mathematical concepts. Their evasion and departure hinders math-related pathways and STEM career opportunities. Research has shown very clear methods to change this phenomena, but the information has been confined to research journals—until now. Mathematical Mindsets provides a proven, practical roadmap to mathematics success for any student at any age.
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Simplicity: Ideals of Practice in Mathematics and the Arts

Author: Roman Kossak,Philip Ording

Publisher: Springer

ISBN: 3319533851

Category: Mathematics

Page: 305

View: 3914

To find "criteria of simplicity" was the goal of David Hilbert's recently discovered twenty-fourth problem on his renowned list of open problems given at the 1900 International Congress of Mathematicians in Paris. At the same time, simplicity and economy of means are powerful impulses in the creation of artworks. This was an inspiration for a conference, titled the same as this volume, that took place at the Graduate Center of the City University of New York in April of 2013. This volume includes selected lectures presented at the conference, and additional contributions offering diverse perspectives from art and architecture, the philosophy and history of mathematics, and current mathematical practice.
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The Math Gene

How Mathematical Thinking Evolved And Why Numbers Are Like Gossip

Author: Keith Devlin

Publisher: Basic Books

ISBN: 0786725087

Category: Science

Page: 352

View: 5491

Why is math so hard? And why, despite this difficulty, are some people so good at it? If there's some inborn capacity for mathematical thinking—which there must be, otherwise no one could do it —why can't we all do it well? Keith Devlin has answers to all these difficult questions, and in giving them shows us how mathematical ability evolved, why it's a part of language ability, and how we can make better use of this innate talent.He also offers a breathtakingly new theory of language development—that language evolved in two stages, and its main purpose was not communication—to show that the ability to think mathematically arose out of the same symbol-manipulating ability that was so crucial to the emergence of true language. Why, then, can't we do math as well as we can speak? The answer, says Devlin, is that we can and do—we just don't recognize when we're using mathematical reasoning.
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A Mathematician's Lament

Author: Paul Lockhart

Publisher: N.A

ISBN: 9781934137178

Category: Education

Page: 140

View: 9157

A manifesto for freeing math from the drudgery of traditional teaching by a brilliant mathematician.
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What's Math Got to Do with It?

How Teachers and Parents Can Transform Mathematics Learning and Inspire Success

Author: Jo Boaler

Publisher: Penguin

ISBN: 1101992050

Category: Education

Page: 272

View: 5284

“Highly accessible and enjoyable for readers who love and loathe math.” —Booklist A critical read for teachers and parents who want to improve children’s mathematics learning, What’s Math Got to Do with It? is “an inspiring resource” (Publishers Weekly). Featuring all the important advice and suggestions in the original edition of What’s Math Got to Do with It?, this revised edition is now updated with new research on the brain and mathematics that is revolutionizing scientists’ understanding of learning and potential. As always Jo Boaler presents research findings through practical ideas that can be used in classrooms and homes. The new What’s Math Got to Do with It? prepares teachers and parents for the Common Core, shares Boaler’s work on ways to teach mathematics for a “growth mindset,” and includes a range of advice to inspire teachers and parents to give their students the best mathematical experience possible.
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Mathematics

The Science of Patterns: The Search for Order in Life, Mind and the Universe

Author: Keith Devlin

Publisher: Macmillan

ISBN: 9780805073447

Category: Mathematics

Page: 224

View: 3012

To most people, mathematics means working with numbers. But as Keith Devlin shows in Mathematics: The Science of Patterns, this definition has been out of date for nearly 2,500 years. Mathematicians now see their work as the study of patterns—real or imagined, visual or mental, arising from the natural world or from within the human mind. Using this basic definition as his central theme, Devlin explores the patterns of counting, measuring, reasoning, motion, shape, position, and prediction, revealing the powerful influence mathematics has over our perception of reality. Interweaving historical highlights and current developments, and using a minimum of formulas, Devlin celebrates the precision, purity, and elegance of mathematics.
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The Interpretation of Cultures

Author: Clifford Geertz

Publisher: Basic Books

ISBN: 0465093566

Category: Social Science

Page: 576

View: 2453

In The Interpretation of Cultures, the most original anthropologist of his generation moved far beyond the traditional confines of his discipline to develop an important new concept of culture. This groundbreaking book, winner of the 1974 Sorokin Award of the American Sociological Association, helped define for an entire generation of anthropologists what their field is ultimately about.
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Count Down

Six Kids Vie for Glory at the World's Toughest Math Competition

Author: Steve Olson

Publisher: Houghton Mifflin Harcourt

ISBN: 9780618562121

Category: Education

Page: 244

View: 8445

Follows six American high school students on the quest for glory in the Olympics of math competitions--The International Mathematical Olympiad.
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Where Mathematics Comes from

How the Embodied Mind Brings Mathematics Into Being

Author: George Lakoff,Rafael E. Núñez

Publisher: Basic Books (AZ)

ISBN: N.A

Category: Mathematics

Page: 493

View: 7865

Provides an in-depth analysis of the cognitive science of mathematical ideas that argues that conceptual metaphor plays a definitive role in mathematical ideas, exploring such concepts as arithmetic, algebra, sets, logic, and infinity. 20,000 first printing.
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Math Doesn't Suck

How to Survive Middle School Math Without Losing Your Mind or Breaking a Nail

Author: Danica McKellar

Publisher: Penguin

ISBN: 110121371X

Category: Education

Page: 320

View: 6563

This title has been removed from sale by Penguin Group, USA.
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Essentials of young adult literature

Author: Carl M. Tomlinson,Carol Lynch-Brown

Publisher: Allyn & Bacon

ISBN: N.A

Category: Education

Page: 288

View: 1502

Essentials of Young Adult Literature Based on a genre approach to literature, this long-awaited book offers a comprehensive, clear, and succinct overview of adolescent literature. It includes recommended books listed by genre and topic, and engages readers by offering a thorough discussion of the major trends and issues affecting young adult literature such as censorship, the literary canon, and accountability. It provides clearly stated positions on the current issues affecting schools and literature. Written by well-known authors Carl Tomlinson and Carol Lynch-Brown, Essentials of Young Adult Literature places emphasis on reading a wide variety of young adult literature and addresses all types and formats of literature including novels, short stories, graphic novels, and picture books for older readers. In addition, notable authors are featured in each genre chapter and multicultural and international literature is integrated throughout the book and then treated more fully in its own chapter. Current and future teachers will appreciate the authors' practical strategies for connecting secondary school students with young adult books, such as how to select books that students will read and enjoy, how to motivate resistant readers to read, and how to develop text sets for classroom study across the curriculum. Readers will be equipped with the knowledge to use trade books as excellent teaching and learning materials and will not be limited to using textbooks alone. Key Features bull; Literature Across the Curriculum features found in all genre chapters give examples of how young adult literature can help students and teachers in the content areas learn or present course content in a more interesting, memorable way. Extensive lists of recommended books briefly annotated with topics and age levels follow each genre chapter. One full chapter devoted to addressing the specific needs of resistant readers give middle and high school teachers much-needed strategies for addressing common obstacles to reading and for motivating students to read. Every chapter presents one to three charts with information about milestone books, history of specific genres, and research. Appendices feature Young Adult Book Award lists and YA Magazines, organized by content area and include ordering information. By the same authors Essentials of Children's Literature, Fifth Edition copy;2005, Allyn & Bacon, ISBN 0-205-42015-X For more information, please visit www.ablongman.com
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The Death and Life of Great American Cities

Author: Jane Jacobs

Publisher: Vintage

ISBN: 052543285X

Category: Social Science

Page: 480

View: 6449

Thirty years after its publication, The Death and Life of Great American Cities was described by The New York Times as "perhaps the most influential single work in the history of town planning....[It] can also be seen in a much larger context. It is first of all a work of literature; the descriptions of street life as a kind of ballet and the bitingly satiric account of traditional planning theory can still be read for pleasure even by those who long ago absorbed and appropriated the book's arguments." Jane Jacobs, an editor and writer on architecture in New York City in the early sixties, argued that urban diversity and vitality were being destroyed by powerful architects and city planners. Rigorous, sane, and delightfully epigrammatic, Jacobs's small masterpiece is a blueprint for the humanistic management of cities. It is sensible, knowledgeable, readable, indispensable. The author has written a new foreword for this Modern Library edition.
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Mathematics & Common Sense

A Case of Creative Tension

Author: Philip J. Davis

Publisher: A K Peters/CRC Press

ISBN: 9781568812700

Category: Mathematics

Page: 250

View: 6442

From the Preface: "This book is addressed to all who are curious about the nature of mathematics and its role in society. It is neither a text book nor a specialists' book. It consists of a number of loosely linked essays that may be read independently and for which I have tried to provide a leitmotif by throwing light on the relationship between mathematics and common sense. In these essays I hope to foster a critical attitude towards both the existence of common sense in mathematics and the ambiguous role that it can play."
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Contagious

Why Things Catch On

Author: Jonah Berger

Publisher: Simon and Schuster

ISBN: 1451686587

Category: Business & Economics

Page: 256

View: 1497

Dynamic young Wharton professor Berger draws on his research to explain the six steps that make products or ideas contagious. Why do some products get more word of mouth than others? Why does some online content go viral?
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Street Mathematics and School Mathematics

Author: Terezinha Nunes,Analucia Dias Schliemann,David William Carraher

Publisher: Cambridge University Press

ISBN: 9780521388139

Category: Education

Page: 170

View: 3248

People who learn to solve problems 'on the job' often have to do it differently from people who learn in theory. Practical knowledge and theoretical knowledge is different in some ways but similar in other ways - or else one would end up with wrong solutions to the problems. Mathematics is also like this. People who learn to calculate, for example, because they are involved in commerce frequently have a more practical way of doing mathematics than the way we are taught at school. This book is about the differences between what we call practical knowledge of mathematics - that is street mathematics - and mathematics learned in school, which is not learned in practice. The authors look at the differences between these two ways of solving mathematical problems and discuss their advantages and disadvantages. They also discuss ways of trying to put theory and practice together in mathematics teaching.
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