Pré-Publication, Document De Travail Année : 2025

Towards beliefs on proof in mathematics: a survey of future elementary school teachers in Switzerland

Résumé

This paper analyzes the beliefs of proof among first-year bachelor's students, futureprimary school teachers, in the context of current thinking in proof research. Using aquestionnaire tailored to this audience, we study the functions of proof that theyrecognize, as well as their criteria for evaluating the rigor and validity of differenttypes of proof. The results show a clear gap between their ability to identify intellectual,deductive proof as rigorous and the empirical or perceptual approaches relevant topragmatic proof that they spontaneously mobilize. Explanatory and verificationfunctions dominate, while more social dimensions appear only marginally. Theseresults highlight the need to reinforce, in initial training, the active and diversifiedappropriation of the activity of proof.

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Dates et versions

hal-05379849 , version 1 (24-11-2025)
hal-05379849 , version 2 (30-03-2026)

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  • HAL Id : hal-05379849 , version 2

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Mickael Da Ronch, Ismaïl Mili, Cécile Ouvrier-Buffet. Towards beliefs on proof in mathematics: a survey of future elementary school teachers in Switzerland. 2025. ⟨hal-05379849v2⟩
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