Students conceptions: an introduction to a formal characterization
| Autor: | Balacheff, Nicolas, Gaudin, Nathalie |
|---|---|
| Přispěvatelé: | Balacheff, Nicolas, Zeiliger, Jerome, Laboratoire Leibniz (Leibniz - IMAG), Université Joseph Fourier - Grenoble 1 (UJF)-Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS) |
| Jazyk: | angličtina |
| Rok vydání: | 2002 |
| Předmět: |
knowledge modelling
[SHS.EDU]Humanities and Social Sciences/Education [SHS.EDU] Humanities and Social Sciences/Education didactique conceptions didactic of mathematics mathématiques [INFO.EIAH] Computer Science [cs]/Technology for Human Learning modèle de connaissances [MATH.MATH-HO]Mathematics [math]/History and Overview [math.HO] [MATH.MATH-HO] Mathematics [math]/History and Overview [math.HO] modèle élève errors [INFO.EIAH]Computer Science [cs]/Technology for Human Learning |
| Popis: | Research report, "Les Cahiers Leibniz, n°65"; We investigate in this paper the complexity of modeling students knowing of mathematics under the constraints of acknowledging both their possible lack of coherency and their local efficiency. For this purpose we propose a formalization of the notion of "conception" as a possible tool to answer the epistemological problem we identify. We apply then this approach to the study of the possible conceptions of "function", from an historical and then an epistemic point of view. We report the result of a case study in order to illustrate the benefit we expect from this approach. The notions of "conception", "knowing" and "concept" are then related the one to the other within the model presented. |
| Databáze: | OpenAIRE |
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