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Master Thesis

Le problème ouvert comme moyen de motivation aux apprentissages des notions mathématiques

Abstract : Faced with the difficulties of French students in mobilizing acquired mathematical concepts outside usual learning contexts, the implementation of tools to overcome these difficulties is becoming more and more necessary. The open problem, the principle of which refers to a problem of research by students that does not engage them to a specific method of solution, is one of those tools that are now used increasingly by mathematics teachers. In this study, we questioned the use of the open problem as a motivation for learning mathematical concepts. In order to try to answer to this problematic, several experiments were realized in two classes of 4th (French middle school) and 2 classes of Second (French high school). The experiments were carried out twice during two learning sequences, each time with an open problem proposed at the beginning of the sequence to induce a questioning in the student mind, and an open problem proposed at the end of the sequence to evaluate the learning of the student on the sequence. Based on a description of the experimentation sessions, the analysis of student copies, and student answers to a survey, several results and perspectives can be developed. First of all, the students seem motivated by the organization of the open problem work carried out during these experiments (in groups), which allowed them to confront / explain their ideas. Similarly, the students seem to favor the use of open problems dealing with concrete subjects allowing them to better understand the usefulness in learning certain mathematical concepts. Once this "contextualization" is done, the students appear to be the motor of their learning. The conclusions drawn by this study, however, remain to be verified, mainly because of the limited number of classes that participated in the experiments (two classes of 4th and two classes of Seconde).
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Master Thesis
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Submitted on : Tuesday, September 22, 2020 - 10:36:15 AM
Last modification on : Tuesday, May 11, 2021 - 11:36:25 AM


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  • HAL Id : dumas-02112209, version 1



Gabriel Simi. Le problème ouvert comme moyen de motivation aux apprentissages des notions mathématiques. Education. 2018. ⟨dumas-02112209⟩



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