The Child's Understanding of Number

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Harvard University Press, Jun 30, 2009 - Psychology - 276 pages
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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
 

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Contents

1 Focus on the Preschooler
1
2 Training Studies Reconsidered
13
Direct Evidence
25
4 Number Concepts in the Preschooler?
45
5 What Numerosities Can the Young Child Represent?
50
6 How Do Young Children Obtain Their Representations of Numerosity?
64
7 The Counting Model
73
8 The Development of the HowToCount Principles
83
9 The Abstraction and OrderIrrelevance Counting Principles
136
10 Reasoning about Number
160
11 Formal Arithmetic and the Young Childs Understanding of Number
179
12 What Develops and How
202
Conclusions
243
References
246
Index
255
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