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ERIC Number: EJ796796
Record Type: Journal
Publication Date: 2007
Pages: 16
Abstractor: Author
Reference Count: 0
ISSN: ISSN-0732-3123
Reinventing Solutions to Systems of Linear Differential Equations: A Case of Emergent Models Involving Analytic Expressions
Rasmussen, Chris; Blumenfeld, Howard
Journal of Mathematical Behavior, v26 n3 p195-210 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 instructional design heuristics that can facilitate this process. In this article we analyze the case of student reasoning with analytic expressions as they reinvent solutions to systems of two differential equations. The significance of this work is twofold: it includes an elaboration of the Realistic Mathematics Education instructional design heuristic of emergent models to the undergraduate setting in which symbolic expressions play a prominent role, and it offers teachers insight into student thinking by highlighting qualitatively different ways that students reason proportionally in relation to this instructional design heuristic.
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A