The Power of Natural Thinking: Applications of Cognitive Psychology to Mathematics Education

Document Type

Conference Proceeding

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Concurring with Uri Leron’s cross-disciplinary approach to distinct modes of mathematical thinking, intuitive and analytic, I discuss his elaboration and adaptation to our field of the cognitive psychology dual-processing theory (DPT). I reflect on (a) the problem significance, (b) aspects of the theory he adapts, and (c) elegance of presentation. Then, I further discuss DPT in light of a constructivist stance on the inseparability of thinking and learning. I link DPT to accounts of (i) brain-based conceptual learning and (ii) how mathematics teaching may promote such learning—and discuss advantages of those accounts.