Children's numbers
By: Catherine Sophian, University of Hawaii
Series: Developmental psychology series; Developmental psychology series
Publisher: Routledge, Taylor & Francis Group
Published: 2019
Place of publication: London
Language: eng
Number of pages: 148
ISBN-13: 9780429038990
Subjects: Number concept; Mathematics; Study and teaching (Elementary); Concept de nombre; MATHEMATICS; Arithmetic
Notes: "First published 1996 by Westview Press."

Includes bibliographical references and index.
Table of contents: title: 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 logico-mathematical development; Domains of development; The cultural context of development; Strands of development; Summary; 3 Numbers in School; Concepts versus routines; title: Readiness and instructionCross-cultural 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 right-answer 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; title: Infants' sensitivity to equivalence and inequivalence relationsNumber 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; title: 7 Children's Numbers: Toward a SynthesisInnate constraints on number development; What develops?; Protoquantitative reasoning; Quantitative reasoning; A mathematics of numbers; Food for development; Summary; References; Author Index; Subject lndex