The Child’s Conception of Geometry

 

Jean Piaget, Barbel Inhelder e Alina Szeminska

International Library of Psychology

Routledge |1999 - 2ª edição | 420 páginas | rar - pdf |7,9 Mb

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The Child’s Conception of Geometry examines the development of geometric concepts in young children.

This volume from Piaget’s laboratory in Geneva deals primarily with the development of notions of measurement and geometrical concepts like coordinates, angles, and areas. It is a companion piece to The Child’s Conception of Space.

CONTENTS
Preface page vii
PART ONE - INTRODUCTION
I Change of Position 3
II Spontaneous Measurement 27
PART TWO - CONSERVATION AND MEASUREMENT OF LENGTH
III Reconstructing Relations of Distance 69
IV Change of Position and the Conservation of Length 90
V The Conservation and Measurement of Length 104
VI Subdividing a Straight Line 128
PART THREE - RECTANGULAR COORDINATES, ANGLES AND CURVES
VII Locating a Point in Two or Three Dimensional Space 153
VIII Angular Measurement 173
IX Two Problems of Geometrical Loci: the Straight Line and the Circle 209
X Representation of Circles, Mechanical and Composite Curves 226
PART FOUR - AREAS AND SOLIDS
XI The Conservation and Measurement of an Area and Subtracting Smaller Congruent Areas from Larger Congruent Areas 
XII Subdivision of Areas and the Concept of Fractions 302
XIII Doubling an Area or a Volume 336
XIV The Conservation and Measurement of Volume 354
PART FIVE CONCLUSIONS
XV The Construction of Euclidean Space: Three Levels 389
Index 409