Effects of traditional and problem-based instruction on conceptions of proof and pedagogy in undergraduates and prospective mathematics teachers

dc.contributor.advisorSmith, Jennifer Christianen
dc.creatorYoo, Seraen
dc.date.accessioned2012-09-10T18:00:44Zen
dc.date.available2012-09-10T18:00:44Zen
dc.date.issued2008-08en
dc.descriptiontexten
dc.description.abstractThis study examined the effect of problem-based instruction (PBI) on undergraduate students and prospective secondary mathematics teachers’ perceptions of mathematical proof and pedagogical views. Quantitatively, the Mathematical Proof Survey (MPS) was developed and used to assess the views of mathematical proof held by undergraduates in lecture-based and PBI mathematics courses. Qualitatively, research interviews examined the way teacher candidates’ experiences as mathematics learners in the courses affected their conceptions of mathematical proof and views of learning and teaching mathematics and proof. Findings from quantitative analysis of MPS data and qualitative analysis of interview data are presented, and results from the comparative analysis are discussed for implications. The results of the study suggest that experiences with proof and instruction in such PBI courses provide opportunities for undergraduates and prospective mathematics teachers to develop more humanistic perspectives of proof and process-oriented pedagogical views than do lecture-based courses.en
dc.description.departmentScience, Technology, Engineering, and Mathematics Educationen
dc.format.mediumelectronicen
dc.identifier.urihttp://hdl.handle.net/2152/17834en
dc.language.isoengen
dc.rightsCopyright is held by the author. Presentation of this material on the Libraries' web site by University Libraries, The University of Texas at Austin was made possible under a limited license grant from the author who has retained all copyrights in the works.en
dc.subject.lcshMathematics--Study and teaching (Higher)en
dc.subject.lcshProblem-based learningen
dc.subject.lcshMathematics teachersen
dc.subject.lcshProof theory--Study and teachingen
dc.subject.lcshTeachers--Psychologyen
dc.titleEffects of traditional and problem-based instruction on conceptions of proof and pedagogy in undergraduates and prospective mathematics teachersen
thesis.degree.departmentScience and Mathematics Educationen
thesis.degree.disciplineMathematics Educationen
thesis.degree.grantorThe University of Texas at Austinen
thesis.degree.levelDoctoralen
thesis.degree.nameDoctor of Philosophyen

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