The Number Sense

Author: Stanislas Dehaene
Publisher: Oxford University Press
ISBN: 0199910391
Size: 50.45 MB
Format: PDF
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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

The Number Sense How The Mind Creates Mathematics

Author: Stanislas Dehaene
Publisher: Oxford University Press
ISBN: 0199881057
Size: 40.49 MB
Format: PDF, Mobi
View: 7753
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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 Child S Understanding Of Number

Author: Rochel GELMAN
Publisher: Harvard University Press
ISBN: 0674037537
Size: 35.96 MB
Format: PDF, ePub
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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

What Counts

Author: Brian Butterworth
Publisher:
ISBN:
Size: 65.94 MB
Format: PDF, ePub
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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

Number Sense And Number Nonsense

Author: Nancy Krasa
Publisher: Brookes Pub
ISBN: 9781598570205
Size: 56.28 MB
Format: PDF, ePub
View: 911
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Short and highly accessible book that guides readers in recommending evaluation and testing for math learning disabilities.

Why Is Math So Hard For Some Children

Author: Daniel B. Berch
Publisher: Brookes Pub
ISBN: 9781557668646
Size: 74.18 MB
Format: PDF, Kindle
View: 6821
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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 Secret Life Of The Mind How Our Brain Thinks Feels And Decides

Author: Mariano Sigman
Publisher: HarperCollins UK
ISBN: 0008210934
Size: 24.82 MB
Format: PDF, Kindle
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• Where do our thoughts come from? • How can we manipulate our dreams? • What is the role of the unconscious? • How do we make choices and trust the judgement of both others and ourselves? These are some of the questions in this groundbreaking, personal and comprehensive guide into understanding our thoughts.

Be Our Guest Revised And Updated Edition

Author: The Disney Institute
Publisher: Disney Editions
ISBN: 9781423145844
Size: 33.71 MB
Format: PDF, ePub, Docs
View: 6864
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Exceeding expectations rather than simply satisfying them is the cornerstone of the Disney approach to customer service. Now, in honor of the tenth anniversary of the original Be Our Guest, Disney Institute, which specializes in helping professionals see new possibilities through concepts not found in the typical workplace, is revealing even more of the business behind the magic of quality service. During the last twenty-five years, thousands of professionals from more than thirty-five countries and more than forty industries have attended business programs at Disney Institute and learned how to adapt the Disney approach for their own organizations./DIV DIVBe Our Guest highlights the successes many of these companies have achieved, plus the key processes and best practices that have made Disney a trusted and revered brand around the world for more than eighty-five years.