Continuity of real functions in high school: a teaching sequence based on limits and topology - Archive ouverte HAL Accéder directement au contenu
Communication Dans Un Congrès Année : 2020

Continuity of real functions in high school: a teaching sequence based on limits and topology

Résumé

It is well known that students have difficulties with the concept of continuity, specifically on points of discontinuity, and concepts like limits and infinity. In Italian textbooks, the continuity of functions is usually defined using limits, while an intuitive characterization of continuous functions is proposed without providing the students with formal tools to use it, like “the graphs of continuous functions can be drawn without lifting the pencil out of the paper”. Limits are one of the most complex subjects to learn and are usually introduced in an algorithmic way, without a true comprehension of the subject. We argue that introducing the definition of continuous functions using limits is problematic and we designed and tested a teaching sequence to investigate the potentiality of including a topological approach in high school.
Fichier principal
Vignette du fichier
INDRUM2020_LB_LAST.pdf (307.37 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)

Dates et versions

hal-03113955 , version 1 (18-01-2021)

Identifiants

  • HAL Id : hal-03113955 , version 1

Citer

Laura Branchetti, Giovanni Calza, Sara Martani, Alberto Saracco. Continuity of real functions in high school: a teaching sequence based on limits and topology. INDRUM 2020, Université de Carthage, Université de Montpellier, Sep 2020, Cyberspace (virtually from Bizerte), Tunisia. ⟨hal-03113955⟩
127 Consultations
345 Téléchargements

Partager

Gmail Mastodon Facebook X LinkedIn More