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E-book
Author Clough, Ralph N.

Title Children's Numbers
Published Milton : Routledge, 2019
©1996
Online access available from:
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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 logico-mathematical development -- Domains of development -- The cultural context of development -- Strands of development -- Summary -- 3 Numbers in School -- Concepts versus routines -- Readiness and instruction -- Cross-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 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 Mathematics-Study 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