La validation dans l'enseignement des probabilités au niveau secondaire

Abstract : Our research is concerned with the question of validation in the teaching of probabilities for Grade 9 and 10 students (age 14 and 15). We adopted the theoretical and methodological model of Mathematic Working Spaces associate to notion of probabilistic paradigm is used to characterize validation in the teaching of probability. The research is based on three successive studies. The first one is exploratory and aims at comparing both the validation practiced in probability and geometry. It showed that semiotics registers are favored to validate in probability and are more used than in geometry. Through the analysis of various tasks implemented at various school levels and related to three categories of tasks (simple, complex, rich) the second study shows highlights different forms of validation depending on the category of the task and the class level considered. The last study, based on interviews with teachers, leads to define the various types of validation adopted by teachers. As findings of the research and based on the data coming the three studies, some characteristics of validation in probability are given and show the specific originality of the teaching of probability in France.
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Submitted on : Friday, July 15, 2016 - 3:10:57 PM
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Assia Nechache. La validation dans l'enseignement des probabilités au niveau secondaire. Histoire et perspectives sur les mathématiques [math.HO]. Université Denis Diderot Paris 7 2016. Français. ⟨tel-01345747⟩

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