Description 
1 online resource (148 pages) 
Contents 
Cover  Half Title  Title  Series Page  Copyright  Dedication  CONTENTS  Preface  PART I PERSPECTIVES ON NUMBER DEVELOPMENT  1 What's in a Number?  Kinds of numbers  Cardinal numbers  Ordinal numbers  Nominal numbers  Numbers as a symbol system  Numbers, quantities, and symbols  In the world or in the mind?  Of things to come  2 Numbers and Cognitive Development  Three theoretical perspectives  Piaget's theory of logicomathematical development  Domains of development  The cultural context of development  Strands of development  Summary  3 Numbers in School  Concepts versus routines  Readiness and instruction  Crosscultural perspectives on mathematics learning  Japanese mathematics achievement  Brazilian children's mathematics in and out of school  Problems and prospects in U.S. education  Problems: Learned helplessness and the rightanswer syndrome  Prospects: Reflective instruction in the United States  Summary  PART ll DEVELOPING NUMERICAL ABILITIES  4 Making Numbers Count  What's in a count?  Learning the counting sequence  Counting principles  Do infants count?  Purposes of counting  Input for learning to count  Developing knowledge of numerical equivalence  Infants' sensitivity to equivalence and inequivalence relations  Number invariance  Numbers and equivalence  Summary  5 The Sum of the Parts  Baby arithmetic  Binary operations  Solving addition and subtraction story problems  How do children add and subtract numbers?  Alternative computational strategies  Problems of place value  Summary  6 The Trouble with Fractions  Beginnings of fraction knowledge  Fractional units  Issues of reference  Issues of representation  The development of proportional reasoning  Multiplicative structures  Computing with fractions 
Summary 
PART III CONCLUSIONS  7 Children's Numbers: Toward a Synthesis  Innate constraints on number development  What develops?  Protoquantitative reasoning  Quantitative reasoning  A mathematics of numbers  Food for development  Summary  References  Author Index  Subject lndex 
Notes 
Description based on publisher supplied metadata and other sources 
Subject 
MathematicsStudy and teaching (Elementary)


Number concept in children.


Number concept.


Mathematics  Study and teaching (Elementary)


Number concept in children.


Number concept.

Form 
Electronic book

ISBN 
0429690975 

9780429690976 
