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The Number Sense : How the Mind Creates Mathematics :  How the Mind Creates Mathematics - Stanislas Dehaene

The Number Sense : How the Mind Creates Mathematics

How the Mind Creates Mathematics

Paperback Published: October 1999
ISBN: 9780195132403
Number Of Pages: 288

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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.

"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"From the origin of Roman numerals to the latest MRI results, everything you might like to know about numbers and the brain, as filtered through the lively and engaging brain of Stanislas Dehaene."--Discover"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"From the origin of Roman numerals to the latest MRI results, everything you might like to know about numbers and the brain, as filtered through the lively and engaging brain of Stanislas Dehaene."--Discover"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 "From the origin of Roman numerals to the latest MRI results, everything you might like to know about numbers and the brain, as filtered through the lively and engaging brain of Stanislas Dehaene."--Discover "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 "From the origin of Roman numerals to the latest MRI results, everything you might like to know about numbers and the brain, as filtered through the lively and engaging brain of Stanislas Dehaene."--Discover "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"From the origin of Roman numerals to the latest MRI results, everything you might like to know about numbers and the brain, as filtered through the lively and engaging brain of Stanislas Dehaene."--Discover"A delight."--Ian Stewart, New Scientist

Prefacep. ix
Introductionp. 3
Our Numerical Heritage
Talented and Gifted Animalsp. 13
A Horse Named Hansp. 14
Rat Accountantsp. 17
How Abstract Are Animal Calculations?p. 23
The Accumulator Metaphorp. 28
Number-Detecting Neurons?p. 31
Fuzzy Countingp. 34
The Limits of Animal Mathematicsp. 38
From Animal to Humanp. 39
Babies Who Countp. 41
Baby Building: Piaget's Theoryp. 41
Piaget's Errorsp. 44
Younger and Youngerp. 47
Babies' Power of Abstractionp. 50
How Much Is 1 plus 1?p. 52
The Limits of Infant Arithmeticp. 56
Nature, Nurture, and Numberp. 61
The Adult Number Linep. 64
1, 2, 3, and Beyondp. 66
Approximating Large Numbersp. 70
The Quantity Behind the Symbolsp. 73
The Mental Compression of Large Numbersp. 76
Reflexive Access to Number Meaningp. 78
A Sense of Spacep. 80
Do Numbers Have Colors?p. 83
Intuitions of Numberp. 86
Beyond Approximation
The Language of Numbersp. 91
A Short History of Numberp. 92
Keeping a Permanent Trace of Numeralsp. 95
The Place-Value Principlep. 98
An Exuberant Diversity of Number Languagesp. 100
The Cost of Speaking Englishp. 102
Learning to Label Quantitiesp. 106
Round Numbers, Sharp Numbersp. 108
Why Are Some Numerals More Frequent Than Others?p. 110
Cerebral Constraints on Cultural Evolutionp. 115
Small Heads for Big Calculationsp. 118
Counting: The ABC of Calculationp. 119
Preschoolers as Algorithm Designersp. 122
Memory Appears on the Scenep. 124
The Multiplication Table: An Unnatural Practice?p. 126
Verbal Memory to the Rescuep. 130
Mental Bugsp. 131
Pros and Cons of the Electronic Calculatorp. 134
Innumeracy: Clear and Present Danger?p. 136
Teaching Number Sensep. 139
Geniuses and Prodigiesp. 144
A Numerical Bestiaryp. 147
The Landscape of Numbersp. 149
Phrenology and the Search for Biological Bases of Geniusp. 152
Is Mathematical Talent a Biological Gift?p. 157
When Passion Produces Talentp. 162
Ordinary Parameters for Extraordinary Calculatorsp. 164
Recipes for Lightning Calculationp. 167
Talent and Mathematical Inventionp. 170
Of Neurons and Numbers
Losing Number Sensep. 175
Mr. N, the Approximate Manp. 177
A Clear-Cut Deficitp. 181
A Champion in Numerical Non-sensep. 185
Inferior Parietal Cortex and the Number Sensep. 189
Seizures Induced by Mathematicsp. 191
The Multiple Meanings of Numbersp. 192
The Brain's Numerical Information Highwaysp. 194
Who Orchestrates the Brain's Computations?p. 199
At the Origins of Cerebral Specializationp. 202
The Computing Brainp. 207
Does Mental Calculation Increase Brain Metabolism?p. 208
The Principle of Positron Emission Tomographyp. 211
Can One Localize Mathematical Thought?p. 213
When the Brain Multiplies or Comparesp. 218
The Limits of Positron Emission Tomographyp. 220
The Brain Electricp. 221
The Time Line of the Number Linep. 223
Understanding the Word "Eighteen"p. 227
Numerate Neuronsp. 228
What Is a Number?p. 231
Is the Brain a Logical Machine?p. 232
Analog Computations in the Brainp. 235
When Intuition Outruns Axiomsp. 238
Platonists, Formalists, and Intuitionistsp. 242
The Construction and Selection of Mathematicsp. 245
The Unreasonable Effectiveness of Mathematicsp. 249
Appendixp. 253
Notes and Referencesp. 255
Indexp. 267
Table of Contents provided by Syndetics. All Rights Reserved.

ISBN: 9780195132403
ISBN-10: 0195132408
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 288
Published: October 1999
Publisher: Oxford University Press Inc
Country of Publication: US
Dimensions (cm): 24.13 x 15.88  x 1.91
Weight (kg): 0.41