Further Aspects of Piaget's Work

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;