The Completeness Property of the Set of Real Numbers in the Transition from Calculus to Analysis

Autor/in	Berge, Analia
Titel	The Completeness Property of the Set of Real Numbers in the Transition from Calculus to Analysis
Quelle	In: Educational Studies in Mathematics, 67 (2008) 3, S.217-235 (19 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0013-1954
DOI	10.1007/s10649-007-9101-5
Schlagwörter	Anthropology; Calculus; Mathematics Instruction; College Students; Numbers; Models; College Mathematics; Courses; Evaluation Methods + Suchen Sie Ihr Suchwort? Anthropologie; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Mathematics lessons; Mathematikunterricht; Collegestudent; Zahlenraum; Analogiemodell; Kursangebot
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. (Author).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10