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Rasmussen, Chris; Blumenfeld, Howard – Journal of Mathematical Behavior, 2007
An enduring challenge in mathematics education is to create learning environments in which students generate, refine, and extend their intuitive and informal ways of reasoning to more sophisticated and formal ways of reasoning. Pressing concerns for research, therefore, are to detail students' progressively sophisticated ways of reasoning and…
Descriptors: Instructional Design, Mathematics Education, Heuristics, Equations (Mathematics)
Rasmussen, Chris; Marrongelle, Karen – Journal for Research in Mathematics Education, 2006
Teaching in a manner consistent with reform recommendations is a challenging and often overwhelming task. Part of this challenge involves using students' thinking and understanding as a basis for the development of mathematical ideas (cf. NCTM, 2000). The purpose of this article is to address this challenge by developing the notion of "pedagogical…
Descriptors: Educational Change, Mathematics Education, Pedagogical Content Knowledge, Speech Communication