"Problèmes pour chercher" : experience, possible and necessity in pupils reasonings
Résumé
«Problèmes pour chercher» are, literally, «problems to research» in mathematics at the primary school level. Their aim is for students to solve non classical problems, and to discuss and argue about them. The goal is not to build curricular knowledge. Hence, these problems are, by some aspects, close to the activity of mathematicians. But what is really the activity of the pupils during these classroom works? Are they working on proofs? What kind of difficulties do they have? This contribution deals with the attitude of pupils towards Experience, Possible, Necessity and proofs. To achieve this, we propose to analyze the productions of 8-9 year old pupils on the "No-Three-In-Line" problem.
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