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Etude de la démarche expérimentale dans les situations de recherche pour la classe

Abstract : This research fits into the projects of the Maths à Modeler research team, especially in the one about Research Situation for the Classroom (Grenier and Payan, 2002 ; Ouvrier-Buffet, 2003 ; Godot, 2005 ; Cartier, 2008). One of our founding postulate is that knowing how to do mathematics is knowing how to solve partially reserch problems, the solving of such problems requiring experimental phases. Our problematic is about the teaching of the knowledge "experimental approach in mathematics" and the role that this knowledge plays in solving research problems. As we consider that this knowledge can only be learned by its practise, the aim of our research is the identification of epistemological and didactical conditions favouring the practise of the experimental approach in mathematics. Along with the building of a model of "situations" for the experimental approach, we built, analysed and experimented situations which refer to the model. We used the model of Research Situation for the Classroom (Grenier and Payan, 2002 ; Godot, 2005) and elements of the theory of didactical situation (Brousseau, 1998), especially a-didactical validation, didactical contract and "milieu". We have also defined a model of "experimental approach in mathematics" which was used as a "guide" of our research. After observing that "the experimental approach in mathematics", as we defined it, is not proposed by schools, experimentations and analyses showed that, in a certain way, students can do experimental approach in mathematics. Moreover, this practise let students progress in finding solutions thanks to the improvement of their conceptions about the problem. These experimentations also let us refined the situations that we have built.
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Submitted on : Wednesday, December 7, 2011 - 11:12:58 AM
Last modification on : Wednesday, November 4, 2020 - 2:40:55 PM
Long-term archiving on: : Thursday, March 8, 2012 - 2:26:11 AM


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  • HAL Id : tel-00649159, version 1



Nicolas Giroud. Etude de la démarche expérimentale dans les situations de recherche pour la classe. Mathématiques générales [math.GM]. Université de Grenoble, 2011. Français. ⟨NNT : 2011GRENM056⟩. ⟨tel-00649159⟩



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