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Revista latinoamericana de investigación en matemática educativa

On-line version ISSN 2007-6819Print version ISSN 1665-2436

Abstract

BERGE, Analía. Análisis institucional a propósito de la noción de completitud del conjunto de los números reales. Relime [online]. 2006, vol.9, n.1, pp.31-64. ISSN 2007-6819.

This paper presents a longitudinal study of four undergraduate mathematics courses. The analysis of problems and exercises given in the outlines of the courses, allows us to describe a particular mathematical organization of the notion of completeness of the set of real numbers. It allows us also to make a hypothesis about the acquisition of knowledge of this topic, which is considered as an example of the passing from Calculus to Mathematical Analysis.

Keywords : Real numbers; completeness; institutional analysis; praxeologies; mathematical organization.

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