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Davis, Robert B. – Arithmetic Teacher, 1991
Examined is the situation in which pupils invent mathematics on their own and teachers' reactions to this situation. The assimilation of students' original ideas into correct mathematical concepts is discussed. (CW)
Descriptors: Arithmetic, Cognitive Development, Cognitive Structures, Computation
Peer reviewed Peer reviewed
Davis, Robert B. – Journal of Mathematical Behavior, 1992
Discusses a new approach to mathematics education that moves away from methods that tell students what to do and toward methods that help students build mental representations of mathematical concepts. Contrasts the previous and emerging views and examines aspects of the new approach. (26 references) (MDH)
Descriptors: Cognitive Development, Cognitive Processes, Cognitive Structures, Educational Change