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Duo d'artefacts numérique et matériel pour l'apprentissage de la géométrie au cycle 3

Abstract : Our research project in didactics of mathematics is to study the use of digital technologies as a complementary environment to concrete manipulations. We define a duo of artefacts as the fruitful link between a digital artefact and a material one in such a way that this linking is an added value for the learning process. The instrumental approach of Rabardel allows us to establish the requirements for this link, each artefact enriching the other through the constructed instruments. A duo of artefacts sets off associated instrumental geneses. In order to base the conditions of the learning process, in the sense of Brousseau, a duo exists only when it is mobilized in a didactic situation. Our issue is to develop a duo of artifacts including the pair of compasses for the conceptualization of the triangle in the teaching of its geometric construction. The composition of the duo and its orchestration in a didactic situation are intended to bring out a new instrumental genesis of the compasses and, according to Duval's work, a 1D dimensional deconstruction of the triangle. Experiments in classes have enabled us to validate the hypothesis that the situation and the duo cause the development of a new pair of compasses instrument to rotate a segment. Balacheff's model of conceptions also allowed us to identify the evolution of pupils' conceptions of the triangle and the circle as the situation progressed, specifically the improvement of a 1D vision of the triangle as a closed broken line and a characterization of the circle as the trajectory of one end of a pivoted segment.
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Submitted on : Tuesday, September 12, 2017 - 10:15:06 AM
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Anne Voltolini. Duo d'artefacts numérique et matériel pour l'apprentissage de la géométrie au cycle 3. Education. Université de Lyon, 2017. Français. ⟨NNT : 2017LYSEN023⟩. ⟨tel-01585845⟩

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