Article
Explicating a Mechanism for Conceptual Learning: Elaborating the Construct of Reflective Abstraction
Journal for Research in Mathematics Education
(2004)
Abstract
We articulate and explicate a mechanism for mathematics conceptual learning that can serve as a basis for the design of mathematics lessons. The mechanism, reflec- tion 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). The mechanism is an elaboration of Piaget's (2001) reflective abstrac- tion and is potentially useful for addressing some of the more intractable problems in teaching mathematics. Implications of the mechanism for lesson design are discussed and exemplified
Keywords
- Cognitive development,
- Conceptual knowledge,
- Constructivism,
- Epistemology,
- Learning theories,
- Piaget
Disciplines
Publication Date
November, 2004
DOI
10.2307/30034818
Citation Information
Martin A. Simon, Ron Tzur, Karen Heinz and Margaret T. Kinzel. "Explicating a Mechanism for Conceptual Learning: Elaborating the Construct of Reflective Abstraction" Journal for Research in Mathematics Education Vol. 35 Iss. 5 (2004) p. 305 - 329 ISSN: 0021-8251 Available at: http://works.bepress.com/karen-heinz/3/