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Brown, Norman R.; Siegler, Robert S. – Psychological Review, 1993
A metrics and mapping framework is proposed to account for how heuristics, domain-specific reasoning, and intuitive statistical induction processes are integrated to generate estimates. Results of 4 experiments involving 188 undergraduates illustrate framework usefulness and suggest when people use heuristics and when they emphasize…
Descriptors: Estimation (Mathematics), Graphs, Heuristics, Higher Education
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