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Martin, J. Larry – 1973
A test was designed to measure whether or not the child's conceptualization of space would demand that two topological properties of figures (connectedness, and openness and closedness) remain invariant when the figures were subjected to transformations. Ninety children, 30 from each of ages four, six, and eight, were tested. Six items were given…
Descriptors: Cognitive Development, Elementary School Mathematics, Geometric Concepts, Learning Theories
Peer reviewed Peer reviewed
Martin, J. Larry – Journal for Research in Mathematics Education, 1976
Research designed to determine whether the phenomena observed by Piaget were task specific was performed. The results did not confirm Piaget's notion that topological concepts develop prior to the concepts of Euclidean geometry. (SD)
Descriptors: Cognitive Development, Elementary Education, Elementary School Mathematics, Geometric Concepts
Peer reviewed Peer reviewed
Martin, J. Larry – Journal for Research in Mathematics Education, 1976
Piaget's theories concerning the child's development of spatial concepts are considered in comparison with related mathematical concepts. The analysis yielded discrepancies between Piagetian and mathematical use of terms. (SD)
Descriptors: Cognitive Development, Elementary Secondary Education, Learning Theories, Mathematical Models