Further Aspects of Piaget's Work

This book was first published in 1967. This volume presents two areas of Piaget's work on the child's conception of Geometry and then also to Space which were initially published in 1948. It acts as an introduction to Piaget's work in the hope of rousing the interest of teachers with the aim of helping children to learn mathematics by helping them to understand how children form mathematical ideas.

G.E.T. Holloway -Principal Lecturer in Education, Sidney Webb College of Education.

PART I AN Introduction TO The Child's Conception of Geometry; PART II Introduction; Chapter 1 Change of position; Chapter 2 Spontaneous measurement; PART III Conservation and measurement of length; Chapter 3 Reconstructing relations of distance; Chapter 4 Change of position and conservation of length; Chapter 5 Conservation and measurement of length; Chapter 6 Subdividing a straight line; PART IV Rectangular co-ordinates, angles and curves; Chapter 7 Locating a point in two- or three-dimensional space; Chapter 8 Angular measurement; Chapter 9 Two problems of geometrical loci: the straight line and the circle; Chapter 10 Representation of circles, mechanical and composite curves; PART V Areas and Solids; Chapter 11 The conservation and measurement of an area and subtracting smaller congruent areas from larger congruent areas; Chapter 12 Subdivision of areas and the concept of fractions; Chapter 13 Doubling an area or volume; Chapter 14 The conservation and measurement of volume; PART VI Conclusions; Chapter 15 The construction of Euclidean space: three levels; bp0007 AN Introduction TO The Child's Conception of Space; bp0008 Topological space; Chapter 16 Perceptual space, representational space, and the haptic perception of shape; Chapter 17 The treatment of elementary spacial relationships in drawing 'pictorial space'; Chapter 18 Linear and circular order; Chapter 19 The study of knots and the relationship of 'surrounding'; Chapter 20 The idea of points and the idea of continuity; bp0009 Projective space; ch0021 Protective lines and perspective; ch0022 The projection of shadows; ch0023 The co-ordination of perspectives; ch0024 Geometrical sections; ch0025 The rotation and development of surfaces; bp0010 The transition from projective to Euclidean space; ch0026 Affinitive transformations of the rhombus and the conservation of parallels; ch0027 Similarities and proportions; ch0028 Systems of reference and horizontal-vertical co-ordinates; ch0029 Diagrammatic layouts and the plan of a model village; ch0030 General conclusions The 'intuition' of space;