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Explicating a Mechanism for Conceptual Learning: Elaborating the Construct of Reflective Abstraction
Simon, Martin A.; Tzur, Ron; Heinz, Karen; Kinzel, Margaret – Journal for Research in Mathematics Education, 2004
We articulate and explicate a mechanism for mathematics conceptual learning that can serve as a basis for the design of mathematics lessons. The mechanism, reflection on activity-effect relationships, addresses the learning paradox (Pascual-Leone, 1976), a paradox that derives from careful attention to the construct of assimilation (Piaget, 1970).…
Descriptors: Mathematics Instruction, Logical Thinking, Lesson Plans, Cognitive Development