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ERIC Number: EJ1195150
Record Type: Journal
Publication Date: 2018-Nov
Pages: 15
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0013-1954
EISSN: N/A
Space of Fuzziness: Avoidance of Deterministic Decisions in the Case of the Inverse Function
Marmur, Ofer; Zazkis, Rina
Educational Studies in Mathematics, v99 n3 p261-275 Nov 2018
We investigate responses of prospective secondary school teachers to a task related to the inverse function concept. We utilize ideas of fuzzy logic as a theoretical lens in analyzing the participants' demonstrated avoidance of refuting the existence of an inverse to a quadratic function. The analysis is based on 29 responses to a scripting task, in which participants composed a hypothetical dialog between a teacher and students. The findings demonstrate three categories of fuzzy evaluations of a mathematical statement: (a) false blurred to be true; (b) almost false; and (c) almost true. We offer possible reasons for the prevalence of fuzzy thinking in general, and in discussing the inverse of a function in particular.
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Publication Type: Journal Articles; Reports - Research
Education Level: Secondary Education; Higher Education; Postsecondary Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A