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The relationship of a problem-based calculus course and students' views of mathematical thinking

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dc.contributor.advisor Niess, Margaret L.
dc.creator Liu, Po-Hung
dc.date.accessioned 2012-07-16T18:07:11Z
dc.date.available 2012-07-16T18:07:11Z
dc.date.copyright 2002-08-26
dc.date.issued 2002-08-26
dc.identifier.uri http://hdl.handle.net/1957/31107
dc.description Graduation date: 2003 en_US
dc.description.abstract It has been held that heuristic training alone is not enough for developing one's mathematical thinking. One missing component is a mathematical point of view. Many educational researchers have proposed problem-based curricula to improve students' views of mathematical thinking. The present study reports findings regarding effects of a problem-based calculus course, using historical problems, to foster Taiwanese college students' views of mathematical thinking. The present study consisted of three stages. During the initial phase, 44 engineering majors' views on mathematical thinking were tabulated by a six-item, open-ended questionnaire and nine randomly selected students were invited to participate in follow-up interviews. Students then received an 18-week problem-based calculus course in which mathematical concepts were problematized in order to challenge their personally expressed empirical beliefs in doing mathematics. Several tasks and instructional approaches served to reach the goal. Near the end of the semester, all participants answered the same questionnaire and the same students were interviewed to pinpoint their shift in views on mathematical thinking. It was found that participants were more likely to value logical sense, creativity, and imagination in doing mathematics. Further, students leaned toward a conservative attitude in the certainty of mathematical knowledge. Participants focus seemingly shifted from mathematics as a product to mathematics as a process. en_US
dc.language.iso en_US en_US
dc.subject.lcsh Calculus -- Study and teaching (Higher) en_US
dc.subject.lcsh Problem-based learning en_US
dc.subject.lcsh College students -- Taiwan -- Attitudes en_US
dc.subject.lcsh Mathematics -- Public opinion en_US
dc.subject.lcsh Public opinion -- Taiwan en_US
dc.title The relationship of a problem-based calculus course and students' views of mathematical thinking en_US
dc.type Thesis/Dissertation en_US
dc.degree.name Doctor of Philosophy (Ph. D.) in Mathematics Education en_US
dc.degree.level Doctoral en_US
dc.degree.discipline Science en_US
dc.degree.grantor Oregon State University en_US
dc.contributor.committeemember Erickson, Dianne
dc.contributor.committeemember Enochs, Larry
dc.contributor.committeemember Arp, Daniel
dc.description.digitization File scanned at 300 ppi (Monochrome) using ScandAll PRO 1.8.1 on a Fi-6670 in PDF format. CVista PdfCompressor 4.0 was used for pdf compression and textual OCR. en_US
dc.description.peerreview no en_us

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