Enseigner les concepts logiques en début d'université dans l'espace mathématique francophone : aspects didactiques épistémologiques et langagiers. Une étude de cas au Cameroun

Abstract : Our study focuses on logic and language at the transition between high school and university in the Cameroonian context. In Cameroon secondary education, the concepts of logic are paid little attention in mathematics classes, due to the fact that their teaching is not prescribed in the new official syllabuses3. This is not the case of higher education, where a course on formal logic is oftengiven at the beginning of the year to first year university students, with a refreshing purpose. That course is not required in the syllabus, but some teachers see the need. Several scientific studies have shown that some of the difficulties encountered by studentswhile practicing mathematics come from their poor familiarity with concepts of logic. We assume that these students are insufficiently attended to by their teachers who think that the concepts are at their reach, since they are used in everyday life on the one hand, and they are gradually used in mathematical activities, on the other hand. In this thesis, we stand for the point that, for the concepts of logic to become real operational tools to a student who begins university studies, some teaching of these concepts which should address the connections with mathematical activities is necessary, at least as a starting point in higher education studies. To defend our thesis, we have divided our work into two parts which are as follows : In the first part, we present theoretical material necessary to our work as well as other technical tools that will be needed. We also provide a review of previous studies related to our issue. The second part is on an experiment we carried out with students from the Upper Sixth class - science option - of a high school in Yaoundé (Cameroon), and with first year university students of mathematics of the Yaoundé Higher Teachers’ Training College. This experiment had two stages : Firstly, the high school students and the university students filled out a questionnaire on logic and language. Following this, we organized a follow-up module involving 8 students purposely selected from their answers to the questionnaire. This questionnaire enabled us to detect meaningful points on how high school and university students grasp the concepts of logic, and the module helped to start debates which enabled in some cases to refine our analysis, and also provided us with strategic approaches forexplaining certain concepts of logic.
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Judith Sadja Kam. Enseigner les concepts logiques en début d'université dans l'espace mathématique francophone : aspects didactiques épistémologiques et langagiers. Une étude de cas au Cameroun. Education. Université Claude Bernard - Lyon I, 2013. Français. ⟨NNT : 2013LYO10224⟩. ⟨tel-01127648⟩

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