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5 avril 2018
- handle: 10670/1.0ihffr
- hal: hal-01849536
info:eu-repo/semantics/OpenAccess
Mots-clés
concept image versus definition Epistemological studies of mathematical topics Concept image and concept definition. Teaching and learning of analysis and calculus Density denumerable set Ordered setSujets proches
Schoolteaching Didactics School teaching Pedagogy Instruction Papers Aberration, Chromatic and spherical Chromatic aberration (Optics) Learning process Infinitesimal calculus Analysis (Mathematics) Fluxions (Mathematics) Limits (Mathematics) Scholarship Learning Methods of analysis Analysis and chemistry Analytical methods Chemical analysis Analysis methods Analysis and examinationCiter ce document
Laura Branchetti et al., « Are all denumerable sets of numbers order-isomorphic? », HAL-SHS : sciences de l'éducation, ID : 10670/1.0ihffr
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Résumé
In this paper we study cognitive conflicts on the issue of number sets being dense, ordered and denumerable. We first provide historical-epistemological background related to these notions. Then we consider the cognitive conflicts under the lenses of concept image and concept definition, which we use to analyse empirical data collected in order to understand better the didactical and cognitive issues at stake.