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| Journal of Mathematical… | 2 |
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Peer reviewedPirie, Susan E. B.; Kieren, Thomas E. – Journal of Mathematical Behavior, 1992
Reviews recent research in the area of mathematical understanding and compares and contrasts it with a model formulated for the growth of understanding. Uses the analysis of a transcript from an interview with an eight-year-old boy to illustrate the power of the model to describe and map the growth of his mathematical understanding. (18…
Descriptors: Cognitive Development, Cognitive Processes, Cognitive Structures, Comprehension
Peer reviewedArcavi, Abraham; Schoenfeld, Alan H. – Journal of Mathematical Behavior, 1992
Discusses dilemmas teachers may face when shifting their concept of teaching or tutoring from explaining or telling to a constructivist perspective of facilitating the development of students' knowledge structures. Examines teachers' decisions during a 20-minute segment of dialogue between a student and teacher while studying linear functions. (14…
Descriptors: Cognitive Processes, Cognitive Structures, Cognitive Style, Constructivism (Learning)
