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ERIC Number: EJ1021711
Record Type: Journal
Publication Date: 2013
Pages: 14
Abstractor: As Provided
Reference Count: 14
ISBN: N/A
ISSN: ISSN-0020-739X
Different Aspects of the Monotonicity of a Function
Tossavainen, Timo; Haukkanen, Pentti; Pesonen, Martti
International Journal of Mathematical Education in Science and Technology, v44 n8 p1117-1130 2013
In this paper, we investigate which aspects are overriding in the concept images of monotonicity of Finnish tertiary mathematics students, i.e., on which aspects of monotonicity they base their argument in different types of exercises related to that concept. Further, we examine the relationship between the quality of principal aspects and the success in solving monotonicity exercises and a few other standard problems in calculus. Our findings indicate that a mathematics student's conception about monotone functions is often restricted to continuous or differentiable functions and the algebraic aspect--the nearest one to the formal definition of monotonicity--is rare.
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Publication Type: Journal Articles; Reports - Research
Education Level: Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Location: Finland