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12 septembre 2020
- handle: 10670/1.dwas5l
- hal: hal-03113850
info:eu-repo/semantics/OpenAccess
Mots-clés
teaching and learning of linear and abstract algebra teaching and learning of specific topics in university mathematics linear transformation task design APOS theory.Sujets proches
Schoolteaching Didactics School teaching Pedagogy InstructionCiter ce document
Diana Villabona et al., « Process conception of linear transformation from a functional perspective », HAL-SHS : sciences de l'éducation, ID : 10670/1.dwas5l
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Résumé
In this proposal we discuss from an APOS (Action-Process-Object-Schema) viewpoint student conceptions involved in the construction of conceptions about domain, image and pre-image of a linear transformation from to as well as the relations between these notions. We present the design of a set of tasks which allows exploring different facets of the above concepts, evidenced by the analysis of the production of a student. Thanks to the design of the instrument it was possible to highlight some conceptions that may not be evident in typical teaching situations. Some suggestions related to teaching strategies are included.