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Peer reviewedDuffin, Janet M.; Simpson, Adrian P. – Journal of Mathematical Behavior, 1995
Presents a refined form of a personal theory of learning that examines two distinct parts of the complex interaction between a learner's internal mental structures and his or her world of experience. (Author/MKR)
Descriptors: Cognitive Structures, Elementary Secondary Education, Learning Theories, Mathematics Education
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
