Archive ouverte UNIGE | last documentshttps://archive-ouverte.unige.ch/Latest objects deposited in the Archive ouverte UNIGEengIntroduction: "Theory and research on the role of history in mathematics education"https://archive-ouverte.unige.ch/unige:16863https://archive-ouverte.unige.ch/unige:16863abstract not availableMon, 05 Sep 2011 13:25:15 +0200The teaching of vectors in mathematics and physics in France during the 20th centuryhttps://archive-ouverte.unige.ch/unige:16860https://archive-ouverte.unige.ch/unige:16860The work presented in this text is part of a doctorial dissertation in mathematics education (Ba 2006) about the teaching and learning of vectors, translations, forces, velocity and movement of translation in mathematics and physics. Here, we present the evolution of the teaching of vectors and vector quantities in mathematics and physics from the end of the 19th century up to now. We analyse this evolution in the light of the ecology of knowledge, as developed by Yves Chevallard (1994). This helps us understand the difficulties in recent periods, in order to create a successful interdisciplinary approach in the teaching of these notions in mathematics and physics.Fri, 02 Sep 2011 16:18:55 +0200Didactical analysis of a dice gamehttps://archive-ouverte.unige.ch/unige:16859https://archive-ouverte.unige.ch/unige:16859In this paper, we analyse an activity for 1st grade students, taken from the official pedagogical material for mathematics in French-speaking Switzerland. This activity is part of the curriculum about addition and comes in the form of a dice game. After some succinct considerations about games in mathematics education, we give an a priori analysis (according Brousseau's theory of didactic situations) of the activity. We then give account of an experimentation we made in Geneva, first with the teacher in her class and then with two duos of students outside the class. Finally, we suggest some modification in the didactical design in order to make this activity more pertinent.Fri, 02 Sep 2011 16:15:16 +0200