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Etude à l'aide de la notion de « site mathématique local d'une question » des effets possibles d'une innovation : les restitutions organisées de connaissances dans l'épreuve de mathématiques du baccalauréat S

Abstract : In 2005 the French ministry of education introduced the « organized returning of knowledge » (ROC) in the French “baccalauréat” as a tool to make the mathematical education at the end of secondary school more efficient by reintroducing the proof in practices. In an anthropological approach, supplemented by an ecological survey and an analysis of interviews with high school teachers we seek, in order to question its viability, to measure its effects through the components of its environment, its genesis, its innovative nature. Our aim is to show that if we want to make effective the teaching of the proof with the ROC, a didactic questioning is necessary, as a way to unfold the content of the text. We proceed through the construction of the local mathematical site. This construction lives on contributions from different epistemological, historical, didactical perspectives in order to describe the local organization of the ROC ecosystem concerned, highlighting the interrelationships between the components of the classical “praxeology” (objects, techniques, technologies...) and the substrate. The latter is based in math custom and prebuilt (protomathematics and paramathematics). All these elements essential for the heuristic takes the entity of the student and the classroom context into account in the teaching situation. More generally, through various examples - from primary to university - we show the strength of the mathematical local site tool, able to analyze on the epistemological, mathematical and historical levels the diverse mathematical questions or their transpositions. This tool can therefore serve as a revelation (in epistemological or didactic obstacles) in a class activity, be a basis for initial or continuing teachers training, help achieve consistency analysis in curricular progressions. We think it may well be listed in the background of any teacher of mathematics.
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https://tel.archives-ouvertes.fr/tel-00533479
Contributor : Christian Silvy Connect in order to contact the contributor
Submitted on : Saturday, November 6, 2010 - 5:48:32 PM
Last modification on : Thursday, July 14, 2022 - 4:00:53 AM
Long-term archiving on: : Monday, February 7, 2011 - 2:34:12 AM

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  • HAL Id : tel-00533479, version 1

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Christian Silvy. Etude à l'aide de la notion de « site mathématique local d'une question » des effets possibles d'une innovation : les restitutions organisées de connaissances dans l'épreuve de mathématiques du baccalauréat S. Education. Université de Provence - Aix-Marseille I, 2010. Français. ⟨tel-00533479⟩

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