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Peer reviewedDuffin, Janet M.; Simpson, Adrian P. – Journal of Mathematical Behavior, 1993
Presents anecdotes, discussion, and definitions of the terms natural, conflicting, and alien as they relate to the teaching and learning of mathematics. (MKR)
Descriptors: Addition, Cognitive Dissonance, College Students, Concept Formation
Peer reviewedMovshovitz-Hadar, Nitsa – Journal of Mathematical Behavior, 1993
Shows fragility of knowledge in connection with a false application of mathematical induction, as observed in a problem-solving course for prospective teachers. The attempt to explain the observations is based upon an analysis of the logic underlying proof by mathematical induction and a concept formation theory. (MKR)
Descriptors: Cognitive Dissonance, Concept Formation, Conflict Resolution, Critical Thinking
