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ERIC Number: EJ799425
Record Type: Journal
Publication Date: 2008-Jun
Pages: 12
Abstractor: As Provided
Reference Count: 16
ISSN: ISSN-0020-739X
If Not, What Yes?
Koichu, Boris
International Journal of Mathematical Education in Science and Technology, v39 n4 p443-454 Jun 2008
This article presents an instructional approach to constructing discovery-oriented activities. The cornerstone of the approach is a systematically asked question "If a mathematical statement under consideration is plausible, but wrong anyway, how can one fix it?" or, in brief, "If not, what yes?" The approach is illustrated with examples from calculus and geometry. It is argued that the "If not, what yes?" approach facilitates conjecturing and proving, constructing meaningful examples and counterexamples and has a potential for creating learning situations, in which responsibility for achieving desirable mathematical results is "devolved" from an instructor to the learners. (Contains 5 figures.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: High Schools; Higher Education
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A