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Etude d’une situation de reproduction de figures par pliage en cycle 2 : le PLIOX

Abstract : This work presents the study of a situation of reproduction of figure by folding which is called a PLIOX (Guille-Biel Winder, 2013). We put this situation as a spatial problem into the 3D micro-space (Berthelot & Salin, 1992). If we consider it as a geometrical problem, we identify that G1 is the corresponding geometric paradigm (Houdement & Kuzniak, 2000 & 2006), we analyze the function of this situation for the development of the geometrical thought (Van Hiele, 1986), we use a cognitive and semiotic point of view (Duval, 1995) to see that the situation uses shape modifications (decompositions and reconfigurations), as well as positional modifications. We finally identify various didactic variables and mathematical knowledges at stake. This work leads us to the presentation and analysis of different phases of PLIOX situation.
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https://hal-amu.archives-ouvertes.fr/hal-02012504
Contributor : Claire Guille-Biel Winder <>
Submitted on : Friday, February 8, 2019 - 5:11:51 PM
Last modification on : Saturday, October 3, 2020 - 3:24:12 AM

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  • HAL Id : hal-02012504, version 1

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Claire Guille-Biel Winder. Etude d’une situation de reproduction de figures par pliage en cycle 2 : le PLIOX. Annales de Didactiques et de Sciences Cognitives, Institut de Recherche sur l'Enseignement des Mathématiques de Paris (IREM), 2014, 19, pp.103-128. ⟨hal-02012504⟩

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