| Autor: |
Rasmussen, Chris, Rhodehamel, Bohdan |
| Předmět: |
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| Zdroj: |
Conference Papers -- Psychology of Mathematics & Education of North America; 2006 Annual Meeting, p1, 7p, 2 Diagrams, 1 Chart |
| Abstrakt: |
This paper reports on student proofs for the shapes of graphs of solutions in the phase plane for systems of two linear homogenous differential equations with constant coefficients. We define proof as a convincing argument that answers the question why. By an argument, we draw on the work of Krummheuer (1995), who defines argumentation as the "interactions in the observed classroom that have to do with the intentional explication of the reasoning of a solution during its development, or after it" (p. 231). Findings from our research contribute to contemporary characterizations of proof as co-constructed and offer teachers useful insights into the types of student generated algebraic and geometric arguments they find convincing and the corresponding conceptual issues students encounter. ..PAT.-Unpublished Manuscript [ABSTRACT FROM AUTHOR] |
| Databáze: |
Supplemental Index |
| Externí odkaz: |
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