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ERIC Number: EJ877904
Record Type: Journal
Publication Date: 2010-Apr
Pages: 17
Abstractor: As Provided
Reference Count: 0
ISSN: ISSN-0013-1954
An Empirical Study of Students' Understanding of a Logical Structure in the Definition of Limit via the epsilon-Strip Activity
Roh, Kyeong Hah
Educational Studies in Mathematics, v73 n3 p263-279 Apr 2010
This study explored students' understanding of a logical structure in defining the limit of a sequence, focusing on the relationship between epsilon and N. The subjects of this study were college students who had already encountered the concept of limit but did not have any experience with rigorous proofs using the epsilon-N definition. This study suggested two statements, each of which is written by using a relationship between epsilon" and N, similar to the epsilon-N definition. By analyzing the students' responses to the validity of the statements as definitions of the limit of a sequence, students' understanding of such a relationship was classified into five major categories. This paper discusses some essential components that students must conceptualize in order properly to understand the relationship between epsilon and N in defining the limit of a sequence.
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A