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Book Cover
E-book
Author Sophian, Catherine, author.

Title Children's numbers / Catherine Sophian, University of Hawaii
Published London : Routledge, Taylor & Francis Group, 2019

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Description 1 online resource
Series Developmental psychology series
Developmental psychology series.
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 logico-mathematical development; Domains of development; The cultural context of development; Strands of development; Summary; 3 Numbers in School; Concepts versus routines
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
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
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
Notes "First published 1996 by Westview Press."
Bibliography Includes bibliographical references and index
Notes Online resource; title from PDF title page (EBSCO, viewed March 20, 2019)
Subject Number concept.
Mathematics -- Study and teaching (Elementary)
MATHEMATICS -- Arithmetic.
Mathematics -- Study and teaching (Elementary)
Number concept
Form Electronic book
ISBN 0429038992
9780429038990