Translation of La géométrie spontanée de l'enfant.
Bibliography
Includes bibliographical references and index.
Contents
Change of position -- Spontaneous movement -- Reconstructing relations of distance -- Change of position and the conservation of length -- The conservation and measurement of length -- Subdividing a straight line -- Locating a point in two and three dimensional space -- Angular measurement -- Two problems of geometrical loci : the straight line and the circle -- Representation of circles, mechanical and composite curves -- The conservation and measurement of an area and subtracting smaller congruent areas from larger congruent areas -- Subdivision of areas and the concept of fractions -- Doubling an area or a volume -- The conservation and measurement of volume -- The construction of Euclidean space : three levels.