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Artículos

Vol. 14 No 2 (2011): Julio

Modelos intuitivos del infinito y patrones de evolución nivelar

DOI :
https://doi.org/10.12802/
Publiée
juillet 1, 2011

Résumé

Le concept d'infini est essentiel pour comprendre les notions mathématiques telles que la limite, la continuité, la dérivée, l'intégrale, les séquences et les séries, entre autres. Dans le présent travail, l'évolution du concept d'infini est étudiée de la dernière année de l'enseignement primaire (élèves de 11 à 12 ans) à la première année de l'enseignement universitaire (élèves de 18 à 19 ans). Un questionnaire, dont la conception s'appuyait en partie sur la littérature existante sur le sujet, a été appliqué à plus de deux mille étudiants pour identifier les modèles tacites de l'infini dans leur performance ou dans leurs expressions. Dans l'analyse des réponses, un nouvel indicateur a été utilisé, le modèle d'évolution de niveau (PEN), comme élément quantifiant qui nous permet de comparer nos résultats avec ceux d'autres enquêtes. En plus des modèles déjà identifiés dans d'autres études, nous avons trouvé dans notre travail trois nouveaux modèles intuitifs tacites.

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