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ERIC Number: EJ796805
Record Type: Journal
Publication Date: 2007
Pages: 17
Abstractor: Author
Reference Count: 0
ISSN: ISSN-0732-3123
A Characterization of Dynamic Reasoning: Reasoning with Time as Parameter
Keene, Karen Allen
Journal of Mathematical Behavior, v26 n3 p230-246 2007
Students incorporate and use the implicit and explicit parameter time to support their mathematical reasoning and deepen their understandings as they participate in a differential equations class during instruction on solutions to systems of differential equations. Therefore, dynamic reasoning is defined as developing and using conceptualizations about time as a parameter that implicitly or explicitly coordinates with other quantities to understand and solve problems. Students participate in the following types of mathematical activity related to dynamic reasoning: making time an explicit quantity, using the metaphor of time as "unidimensional space", using time to reason both quantitatively and qualitatively, using three-dimensional visualization of time related functions, fusing context and representation of time related functions, and using the fictive motion metaphor for function. The purpose of this article is to present a characterization of dynamic reasoning and promote more explicit attention to this type of reasoning by teachers in K-16 mathematics in order to improve student understanding in time related areas of mathematics.
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Publication Type: Journal Articles; Reports - Evaluative
Education Level: Elementary Secondary Education; Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A