Students' Images and Their Understanding of Definitions of the Limit of a Sequence

Autor/in	Roh, Kyeong Hah
Titel	Students' Images and Their Understanding of Definitions of the Limit of a Sequence
Quelle	In: Educational Studies in Mathematics, 69 (2008) 3, S.217-233 (17 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0013-1954
DOI	10.1007/s10649-008-9128-2
Schlagwörter	Mathematics Education; Definitions; Prior Learning; Calculus; Interviews; Student Attitudes; Mathematical Concepts; Learning Processes; Teaching Methods; Mathematics Instruction; Visualization + Suchen Sie Ihr Suchwort? Mathematische Bildung; Begriffsbestimmung; Vorkenntnisse; Analysis; Differenzialrechnung; Infinitesimalrechnung; Integralrechnung; Interviewing; Interviewtechnik; Schülerverhalten; Learning process; Lernprozess; Teaching method; Lehrmethode; Unterrichtsmethode; Mathematics lessons; Mathematikunterricht; Visualisation; Visualisierung
Abstract	There are many studies on the role of images in understanding the concept of limit. However, relatively few studies have been conducted on how students' understanding of the rigorous definition of limit is influenced by the images of limit that the students have constructed through their previous learning. This study explored how calculus students' images of the limit of a sequence influence their understanding of definitions of the limit of a sequence. In a series of task-based interviews, students evaluated the propriety of statements describing the convergence of sequences through a specially designed hands-on activity, called the [epsilon]-strip activity. This paper illustrates how these students' understanding of definitions of the limit of a sequence was influenced by their images of limits as asymptotes, cluster points, or true limit points. The implications of this study for teaching and learning the concept of limit, as well as on research in mathematics education, are also discussed. (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10