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Papademetri-Kachrimani, Chrystalla – For the Learning of Mathematics, 2012
In this paper I argue my opposition to the consensus which has dominated the literature that young children view shapes as a whole and pay no attention to shape structure and that geometrical thinking can be described through a hierarchical model formed by levels. This consensus is linked to van Hiele's weok by van Hiele-based research. In the…
Descriptors: Young Children, Geometric Concepts, Cognitive Processes, Mathematics Education
Peer reviewedKang, Wan; Kilpatrick, Jeremy – For the Learning of Mathematics, 1992
Didactic transposition theory asserts that bodies of knowledge are designed not to be taught but to be used. Discusses didactic transposition, the transposition of knowledge regarded as a tool to be used to knowledge as something to be learned in mathematics textbooks. (14 references) (MDH)
Descriptors: Classroom Environment, Cognitive Processes, Cognitive Structures, Elementary Secondary Education

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