Literaturnachweis - Detailanzeige
| Autor/in | Keene, Karen Allen |
|---|---|
| Titel | A Characterization of Dynamic Reasoning: Reasoning with Time as Parameter |
| Quelle | In: Journal of Mathematical Behavior, 26 (2007) 3, S.230-246 (17 Seiten)Infoseite zur Zeitschrift
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| Sprache | englisch |
| Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
| ISSN | 0732-3123 |
| DOI | 10.1016/j.jmathb.2007.09.003 |
| Schlagwörter | Figurative Language; Equations (Mathematics); Mathematics Instruction; Thinking Skills; Logical Thinking; Calculus; Mathematics Teachers; Elementary Secondary Education; Higher Education |
| Abstract | 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. (Author). |
| Anmerkungen | Elsevier. 6277 Sea Harbor Drive, Orlando, FL 32887-4800. Tel: 877-839-7126; Tel: 407-345-4020; Fax: 407-363-1354; e-mail: usjcs@elsevier.com; Web site: http://www.elsevier.com |
| Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
| Update | 2017/4/10 |
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