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The Number Sense: How the Mind Creates Mathematics
 
 

The Number Sense: How the Mind Creates Mathematics [Hardcover]

Stanislas Dehaene
5.0 out of 5 stars  See all reviews (3 customer reviews)

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This may surprise those who have trouble carrying the remainder in division or figuring out a 15 percent tip on a $20 lunch bill, but according to mathematician and psychologist Stanislas Dehaene, mathematics is an inborn skill. In The Number Sense, Dehaene makes a compelling case for the human mind's innate grasp of mathematics. Take, for example, the fact that place value systems (such as the Arabic numeral system we use) arose independently in four separate civilizations--evidence of a universal sense of number. Dehaene's book is filled with examples to support his thesis, from young babies' ability to "count" (i.e., to react when single objects are replaced by two or more) to examples of how brain damage affects various individuals' number sense. Even more fascinating is his discussion of the relationship between language and numbers. Though Dehaene's book is about mathematics, even those readers with the worst math anxiety will find The Number Sense an intriguing exploration of the world of numbers--and the human mind.

From Library Journal

This interesting and informative book sets forth the latest findings by Dehaene (research affiliate, Institut de la Sante et de la Recherche Medicale, Paris) and other psychologists trying to determine how the brain understands and manipulates numbers and other forms of mathematical information. Included are many startling results of experiments involving animals and infants that shed light on the extent and nature of our inborn number sense. Dahaene also describes how brain scans and computer simulations can help us understand possible differences in the ways the brain handles similar mathematical topics such as approximation, arithmetic computations, and algebra. These findings, if they receive the consideration they merit, should have a major impact on the way mathematics is taught at the elementary and secondary level. Highly recommended.?Harold D. Shane, Baruch College, CUNY
Copyright 1997 Reed Business Information, Inc.

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Front Cover | Copyright | Table of Contents | Excerpt | Index | Back Cover
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5.0 out of 5 stars (3 customer reviews)
 
 
 
 
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2 of 2 people found the following review helpful
5.0 out of 5 stars Amazing, objective research scores an A!, Jan 1 2002
By 
"rodjackson" (Paducah, KY United States) - See all my reviews
Fascinating. That's the word I've been using to describe this book. From the information on numerical experiments with animals to the solid evidence presented for the hardwired concept of numbers from birth, the author ties together an amazing work.

The clear organization of the book, described from the onset, was my first clue that this was a bit more polished than other works. From a gradual examination of an innate "number sense" in even lower animals, through babies identifiying that 1+1 is not 1 or 3 but 2, up to the examination of innate calculatory facilities, this book covers it all. By the end, you will have been presented with practically all the evidence you need to make your own conclusion--and the case for the existance of the "number sense" is incredible. Psychology and neurology are both linked to the examination.

As a math teacher, I've even gleaned a few points to help in the presentation of the topic to my students. While I don't agree with all of the authors views on education, I do think he made some very profound points (the comment that standardized education has probably stunted natural development ofthe culture--specifically language--is a good example.)

Probably my only real disappointment with the book is the author's overemphasis on evolution throughout the text. Yes, most technical types unfortunately seem to be passionate about evolution's role in everything nowadays; it wouldn't have been that big a deal had the last few pages of the book not delved wholeheartedly into a philosophical expository of how mathematicians of the past were silly to have attributed the apparent design of the mind to match the universe numerically to a God, when evolution is an available alternative. However, this small distasteful thread didn't really detract from the research. (In fact, in practically all other maters the author is refreshingly objective and unbiased, examining counterpoints to his theories and conclusions.)

In all, the book still earns its five stars for rigor, fascinating material, objective examination, and clear presentation. Well worth the read, well worth the purchase.

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2 of 2 people found the following review helpful
5.0 out of 5 stars Can't say enough good things about this wonderful book!, Dec 5 2001
By A Customer
If you are interested in mathematics, psychology, neuroscience / cognitive science, biology, linguistics, and/or all of the above, you will love this book. Don't get me wrong, not only is this book for those with technical interests but is well written enough and accessible enough for even laymen to get into. Read this great book!
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2 of 3 people found the following review helpful
5.0 out of 5 stars Quality science, excellent entertainment, Dec 20 2001
By 
Fred Grant (London United Kingdom) - See all my reviews
I received this book as a gift. I skimmed it and left it unread for months. I thought it was a cash-in on Steven Pinker's excellent The Language Instinct. But no!

When I finally read it was as impressed with Dehaene's science as with his literary flair - not to mention the excellence of his self-translation. His thesis is fascinating, his references authoratitive and his story telling masterful.

This book should fascinate everyone who can count up to two or beyond. Dry it is not. Beyond the interest he develops in the subject are the insights he gives into the ingenuity with which psychological experiments can be designed to eliminate the flaws that a layperson would think unavoidable.

There is a darker side, however. Like that other fellow with his lethal experiments with chicks to test for chemical changes relating to memory, there are allusions to intrusive experiments on living subjects . True, these were some time ago and Dehaene exhibits a proper degree of unease about them. None the less I am much more comfortable with the ingenious ape and baby tests. In my view, no matter how intriguing the question, and how beguiling arguments of research potential leading to new therapies, there is a line that should not be crossed. Dehaene, I'm glad to say, seems aware enough not to cross it.

Fascinating. Highly recommended.

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