The completeness property of the set of real numbers in the transition from calculus to analysis |
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| Authors: | Analía Bergé |
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| Institution: | (1) Cégep de Rimouski, Département de Mathématiques, Rimouski, Canada |
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| Abstract: | This paper focuses on teaching and learning the set of real numbers R and its completeness property at the university level. It studies, in particular, the opportunities for understanding this
property that students are offered in four undergraduate correlative courses in Calculus and Analysis. The theoretical framework
used in the study draws on concepts developed in the Anthropological Theory of Didactics, especially the notions of praxeology
and mathematical organization. The paper shows different expectations concerning the same notion (R and its completeness) through different school levels, and intends to bring up some reflections about the transition from
Calculus to Analysis.
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| Keywords: | Real numbers Completeness University level Institutional rapport Mathematical organization Praxeology |
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