Search Results: the-number-sense-how-the-mind-creates-mathematics

The Number Sense: How the Mind Creates Mathematics

Author: Stanislas Dehaene

Publisher: Oxford University Press

ISBN: 0199881057

Category: Mathematics

Page: 288

View: 1416

The Number Sense is an enlightening exploration of the mathematical mind. Describing experiments that show that human infants have a rudimentary number sense, Stanislas Dehaene suggests that this sense is as basic as our perception of color, and that it is wired into the brain. Dehaene shows that it was the invention of symbolic systems of numerals that started us on the climb to higher mathematics. A fascinating look at the crossroads where numbers and neurons intersect, The Number Sense offers an intriguing tour of how the structure of the brain shapes our mathematical abilities, and how our mathematics opens up a window on the human mind.

The Number Sense

How the Mind Creates Mathematics, Revised and Updated Edition

Author: Stanislas Dehaene

Publisher: Oxford University Press

ISBN: 0199910391

Category: Mathematics

Page: 352

View: 3549

Our understanding of how the human brain performs mathematical calculations is far from complete, but in recent years there have been many exciting breakthroughs by scientists all over the world. Now, in The Number Sense, Stanislas Dehaene offers a fascinating look at this recent research, in an enlightening exploration of the mathematical mind. Dehaene begins with the eye-opening discovery that animals--including rats, pigeons, raccoons, and chimpanzees--can perform simple mathematical calculations, and that human infants also have a rudimentary number sense. Dehaene suggests that this rudimentary number sense is as basic to the way the brain understands the world as our perception of color or of objects in space, and, like these other abilities, our number sense is wired into the brain. These are but a few of the wealth of fascinating observations contained here. We also discover, for example, that because Chinese names for numbers are so short, Chinese people can remember up to nine or ten digits at a time--English-speaking people can only remember seven. The book also explores the unique abilities of idiot savants and mathematical geniuses, and we meet people whose minute brain lesions render their mathematical ability useless. This new and completely updated edition includes all of the most recent scientific data on how numbers are encoded by single neurons, and which brain areas activate when we perform calculations. Perhaps most important, The Number Sense reaches many provocative conclusions that will intrigue anyone interested in learning, mathematics, or the mind. "A delight." --Ian Stewart, New Scientist "Read The Number Sense for its rich insights into matters as varying as the cuneiform depiction of numbers, why Jean Piaget's theory of stages in infant learning is wrong, and to discover the brain regions involved in the number sense." --The New York Times Book Review "Dehaene weaves the latest technical research into a remarkably lucid and engrossing investigation. Even readers normally indifferent to mathematics will find themselves marveling at the wonder of minds making numbers." --Booklist

Space, Time and Number in the Brain

Searching for the Foundations of Mathematical Thought

Author: Stanislas Dehaene,Elizabeth Brannon

Publisher: Academic Press

ISBN: 0123859484

Category: Medical

Page: 361

View: 7523

The study of mathematical cognition and the ways in which the ideas of space, time and number are encoded in brain circuitry has become a fundamental issue for neuroscience. How such encoding differs across cultures and educational level is of further interest in education and neuropsychology. This rapidly expanding field of research is overdue for an interdisciplinary volume such as this, which deals with the neurological and psychological foundations of human numeric capacity. A uniquely integrative work, this volume provides a much needed compilation of primary source material to researchers from basic neuroscience, psychology, developmental science, neuroimaging, neuropsychology and theoretical biology. * The first comprehensive and authoritative volume dealing with neurological and psychological foundations of mathematical cognition * Uniquely integrative volume at the frontier of a rapidly expanding interdisciplinary field * Features outstanding and truly international scholarship, with chapters written by leading experts in a variety of fields

The Cognitive Neuroscience of Consciousness

Author: Stanislas Dehaene

Publisher: MIT Press

ISBN: 9780262541312

Category: Psychology

Page: 243

View: 6448

Empirical and theoretical foundations of a cognitive neuroscience of consciousness.

Reading in the Brain

The New Science of How We Read

Author: Stanislas Dehaene

Publisher: Penguin

ISBN: 9781101152409

Category: Science

Page: 400

View: 7167

A renowned cognitive neuroscientist?s fascinating and highly informative account of how the brain acquires reading How can a few black marks on a white page evoke an entire universe of sounds and meanings? In this riveting investigation, Stanislas Dehaene provides an accessible account of the brain circuitry of reading and explores what he calls the ?reading paradox?: Our cortex is the product of millions of years of evolution in a world without writing, so how did it adapt to recognize words? Reading in the Brain describes pioneering research on how we process language, revealing the hidden logic of spelling and the existence of powerful unconscious mechanisms for decoding words of any size, case, or font. Dehaene?s research will fascinate not only readers interested in science and culture, but also educators concerned with debates on how we learn to read, and who wrestle with pathologies such as dyslexia. Like Steven Pinker, Dehaene argues that the mind is not a blank slate: Writing systems across all cultures rely on the same brain circuits, and reading is only possible insofar as it fits within the limits of a primate brain. Setting cutting-edge science in the context of cultural debate, Reading in the Brain is an unparalleled guide to a uniquely human ability.

The Handbook of Mathematical Cognition

Author: Jamie I.D. Campbell

Publisher: Psychology Press

ISBN: 1135423652

Category: Psychology

Page: 528

View: 7369

How does the brain represent number and make mathematical calculations? What underlies the development of numerical and mathematical abilities? What factors affect the learning of numerical concepts and skills? What are the biological bases of number knowledge? Do humans and other animals share similar numerical representations and processes? What underlies numerical and mathematical disabilities and disorders, and what is the prognosis for rehabilitation? These questions are the domain of mathematical cognition, the field of research concerned with the cognitive and neurological processes that underlie numerical and mathematical abilities. The Handbook of Mathematical Cognition is a collection of 27 essays by leading researchers that provides a comprehensive review of this important research field.

What Counts

How Every Brain is Hardwired for Math

Author: Brian Butterworth

Publisher: N.A

ISBN: N.A

Category: Psychology

Page: 416

View: 9026

Demonstrates that an innate sense of numbers is as integral to the makeup of the human brain as the sense of language, arguing that there is a math gene and that mathematics is fundamental to human nature

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: 6842

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.

The Child's Understanding of Number

Author: Rochel GELMAN,C. R. Gallistel,Rochel Gelman

Publisher: Harvard University Press

ISBN: 0674037537

Category: Psychology

Page: 280

View: 6620

The authors report the results of some half dozen years of research into when and how children acquire numerical skills. They provide a new set of answers to these questions, and overturn much of the traditional wisdom on the subject. Table of Contents: 1. Focus on the Preschooler 2. Training Studies Reconsidered 3. More Capacity Than Meets the Eye: Direct Evidence 4. Number Concepts in the Preschooler? 5. What Numerosities Can the Young Child Represent? 6. How Do Young Children Obtain Their Representations of Numerosity? 7. The Counting Model 8. The Development of the How-To-Count Principles 9. The Abstraction and Order-Irrelevance Counting Principles 10. Reasoning about Number 11. Formal Arithmetic and the Young Child's Understanding of Number 12. What Develops and How Conclusions References Index Reviews of this book: The publication of this book may mark a sea change in the way that we think about cognitive development. For the past two decades, the emphasis has been on young children's limitations... Now a new trend is emerging: to challenge the original assumption of young children's cognitive incapacity. The Child's Understanding of Number represents the most original and provocative manifestation to date of this new trend. --Contemporary Psychology Reviews of this book: Here at last is the book we have been waiting for, or at any rate known we needed, on the young child and number. The authors are at once sophisticated in their own understanding of number and rich in psychological intuition. They present a wealth of good experiments to support and guide their intuitions. And all is told in so simple and unalarming a manner that even the most pusillanimous will be able to read with enjoyment. --Canadian Journal of Psychology

Number Sense and Number Nonsense

Understanding the Challenges of Learning Math

Author: Nancy Krasa,Sara Shunkwiler

Publisher: Brookes Pub

ISBN: 9781598570205

Category: Education

Page: 227

View: 4487

Short and highly accessible book that guides readers in recommending evaluation and testing for math learning disabilities.

How the Mind Works

Author: Steven Pinker

Publisher: W. W. Norton & Company

ISBN: 0393069737

Category: Science

Page: 672

View: 5407

“A model of scientific writing: erudite, witty, and clear.” —New York Review of Books In this Pulitzer Prize finalist and national bestseller, one of the world's leading cognitive scientists tackles the workings of the human mind. What makes us rational—and why are we so often irrational? How do we see in three dimensions? What makes us happy, afraid, angry, disgusted, or sexually aroused? Why do we fall in love? And how do we grapple with the imponderables of morality, religion, and consciousness? ?How the Mind Works? synthesizes the most satisfying explanations of our mental life from cognitive science, evolutionary biology, and other fields to explain what the mind is, how it evolved, and how it allows us to see, think, feel, laugh, interact, enjoy the arts, and contemplate the mysteries of life. This new edition of Pinker's bold and buoyant classic is updated with a new foreword by the author.

Mathematical Sorcery

Revealing the Secrets of Numbers

Author: Calvin C. Clawson

Publisher: Springer

ISBN: 1489964339

Category: Mathematics

Page: 294

View: 5395

Mathematical Mysteries

The Beauty and Magic of Numbers

Author: Calvin C. Clawson

Publisher: Springer

ISBN: 1489960805

Category: Mathematics

Page: 314

View: 8994

Why is Math So Hard for Some Children?

The Nature and Origins of Mathematical Learning Difficulties and Disabilities

Author: Daniel B. Berch,Michèle M. M. Mazzocco

Publisher: Brookes Pub

ISBN: 9781557668646

Category: Education

Page: 457

View: 2420

This landmark resource gives educational decision–makers and researchers theoretical and practical insight into mathematical learning difficulties and disabilities, combining diverse perspectives from fields such as special education, developmental

The Learning Brain

Memory and Brain Development in Children

Author: Torkel Klingberg

Publisher: Oxford University Press, USA

ISBN: 0199917108

Category: Medical

Page: 179

View: 5191

Despite all our highly publicized efforts to improve our schools, the United States is still falling behind. We recently ranked 15th in the world in reading, math, and science. Clearly, more needs to be done. In The Learning Brain, Torkel Klingberg urges us to use the insights of neuroscience to improve the education of our children. The key to improving education lies in understanding how the brain works: that is where learning takes place, after all. The book focuses in particular on "working memory"--our ability to concentrate and to keep relevant information in our head while ignoring distractions (a topic the author covered in The Overflowing Brain). Research shows enormous variation in working memory among children, with some ten-year-olds performing at the level of a fourteen-year old, others at that of a six-year old. More important, children with high working memory have better math and reading skills, while children with poor working memory consistently underperform. Interestingly, teachers tend to perceive children with poor working memory as dreamy or unfocused, not recognizing that these children have a memory problem. But what can we do for these children? For one, we can train working memory. The Learning Brain provides a variety of different techniques and scientific insights that may just teach us how to improve our children's working memory. Klingberg also discusses how stress can impair working memory (skydivers tested just before a jump showed a 30% drop in working memory) and how aerobic exercise can actually modify the brain's nerve cells and improve classroom performance. Torkel Klingberg is one of the world's leading cognitive neuroscientists, but in this book he wears his erudition lightly, writing with simplicity and good humor as he shows us how to give our children the best chance to learn and grow.

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: 6047

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.

Consciousness and the Brain

Deciphering How the Brain Codes Our Thoughts

Author: Stanislas Dehaene

Publisher: Penguin

ISBN: 0698151402

Category: Science

Page: 352

View: 3139

WINNER OF THE 2014 BRAIN PRIZE From the acclaimed author of Reading in the Brain, a breathtaking look at the new science that can track consciousness deep in the brain How does our brain generate a conscious thought? And why does so much of our knowledge remain unconscious? Thanks to clever psychological and brain-imaging experiments, scientists are closer to cracking this mystery than ever before. In this lively book, Stanislas Dehaene describes the pioneering work his lab and the labs of other cognitive neuroscientists worldwide have accomplished in defining, testing, and explaining the brain events behind a conscious state. We can now pin down the neurons that fire when a person reports becoming aware of a piece of information and understand the crucial role unconscious computations play in how we make decisions. The emerging theory enables a test of consciousness in animals, babies, and those with severe brain injuries. A joyous exploration of the mind and its thrilling complexities, Consciousness and the Brain will excite anyone interested in cutting-edge science and technology and the vast philosophical, personal, and ethical implications of finally quantifying consciousness. From the Trade Paperback edition.

Reading in the Brain

The New Science of how We Read

Author: Stanislas Dehaene

Publisher: Penguin Paperbacks

ISBN: 9780143118053

Category: Language Arts & Disciplines

Page: 388

View: 8588

Examines the process through which the human brain has adapted to create and recognize words, discussing the history of writing and reading and presenting current research into such topics as language, spelling logic, and dyslexia.

The Organization of Learning

Author: C. R. Gallistel

Publisher: Bradford Books

ISBN: 9780262570985

Category: Psychology

Page: 648

View: 7507

From insects to humans, Charles Gallistel explores the sophisticated computations performed in these ubiquitous but neglected domains of animal learning.

Find eBook