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ERIC Number: EJ921562
Record Type: Journal
Publication Date: 2011-May
Pages: 19
Abstractor: As Provided
Reference Count: 23
ISSN: ISSN-0013-1954
From Personal to Conventional Probabilities: From Sample Set to Sample Space
Chernoff, Egan J.; Zazkis, Rina
Educational Studies in Mathematics, v77 n1 p15-33 May 2011
This article is a systematic reflection on a sequence of episodes related to teaching probability. Our central claim is that reducing problems to a consideration of the sample space, which consists of equiprobable outcomes, may not be in accord with learners' initial ways of reasoning. We suggest a "desirable pedagogical approach" in which the solution builds on the set of outcomes as identified by learners and serves as a bridge towards mathematical convention. To explore prospective high school mathematics teachers' ideas related to addressing a potential learner's mistake and their reactions towards the suggested approach, we presented them with two tasks. In Task I, participants (n = 30) were asked to suggest a pedagogical remedy to a frequent mistake found in dealing with a standard probability problem, whereas in Task II, they were asked to solve a probabilistic problem, which they had not encountered previously. We discuss participants' mathematical solutions to Task II in reference to their pedagogical approaches to Task I. The presented disparity serves in extending the convincing power of the suggested pedagogical approach.
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A