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Kang, 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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Fischbein, Efraim; And Others – For the Learning of Mathematics, 1990
Described is research which sought to prove the hypothesis that mental models tend to preserve their autonomy with regard to the originals they are meant to represent. The results of this investigation involving 200 Israeli students are presented. (CW)
Descriptors: Cognitive Structures, Foreign Countries, Geometry, Learning Processes
Peer reviewed Peer reviewed
Bouvier, Alain – For the Learning of Mathematics, 1987
Begins with the assumption that by practicing something one often learns something else. A discussion is presented on the historical and social development of knowledge, the cognitive development of students, the role of teachers, and the meaning of learning situations. (PK)
Descriptors: Cognitive Development, Cognitive Structures, Concept Formation, Elementary School Mathematics