Abstract
Teaching mathematical proof is a goal in most mathematical curricula. This target is sometimes explicitly stated, that is “mathematical proof” can appear as a chapter in the textbook, or it is sometimes expressed as a general aim of the teaching. In this latter case, the aim is the training in the construction and the formulation of deductive reasoning, “mathematical proof” not being named as such. Actually, that is the situation at the present time in France: the last French programmes1 (1985) for the eighth grade state that students should be trained progressively to construct deductive reasoning, and this training must be intensive in the ninth grade. The situation is the same in other countries, like in Quebec: “To develop pupils’ logical thinking by bringing them to structure their reasoning [...] It is therefore advisable to demand that the pupils’ problem-solving is based on logical and structured reasoning.” (Objectif du programme2 du secondaire V, Quebec, 1984)
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