Students conceptions: an introduction to a formal characterization

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Auteurs
Date

2002

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Type de document
Périmètre
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Identifiants
Source

HAL SHS (Sciences de l’Homme et de la Société)

Collection

Archives ouvertes

Organisation

Centre pour la communication scientifique directe

Licence

info:eu-repo/semantics/OpenAccess

Mots-clés Fr

modèle élève modèle de connaissances didactique mathématiques

Sujets proches En

School life Students--Education Pupils Student life and customs Human fertilization Fertilization, Human

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Nicolas Balacheff et al., « Students conceptions: an introduction to a formal characterization », HAL SHS (Sciences de l’Homme et de la Société), ID : 10670/1.26da34...

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Résumé En

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

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