Relationship Between Students' Proof Schemes and Definitions

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dc.contributor.authorPlaxco, David Bryanten
dc.contributor.committeechairNorton, Anderson H. IIIen
dc.contributor.committeememberWilkins, Jesse L. M.en
dc.contributor.committeememberLoehr, Nicholas A.en
dc.contributor.departmentMathematicsen
dc.date.accessioned2014-03-14T20:37:25Zen
dc.date.adate2011-05-25en
dc.date.available2014-03-14T20:37:25Zen
dc.date.issued2011-05-04en
dc.date.rdate2011-05-25en
dc.date.sdate2011-05-17en
dc.description.abstractThis research investigates relationships between undergraduate students' understanding of proof and how this understanding relates to their conceptions of mathematical definitions. Three students in an introductory proofs course were each interviewed three times in order to assess their proof schemes, understand how they think of specific mathematical concepts, and investigate how the students prove relationships between these concepts. This research used theoretical frameworks from both proof and definition literature. Findings show that students' ability or inability to adapt their concept images of the mathematical concepts enhanced and impeded their proof schemes, respectively.en
dc.description.degreeMaster of Scienceen
dc.identifier.otheretd-05172011-121003en
dc.identifier.sourceurlhttp://scholar.lib.vt.edu/theses/available/etd-05172011-121003/en
dc.identifier.urihttp://hdl.handle.net/10919/32930en
dc.publisherVirginia Techen
dc.relation.haspartPlaxco_DB_T_2011.pdfen
dc.relation.haspartapprovalletter.pdfen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectundergraduate educationen
dc.subjectmathematics educationen
dc.subjectmutual exclusivityen
dc.subjectprobabilistic independenceen
dc.subjectproofen
dc.subjectdefinitionen
dc.titleRelationship Between Students' Proof Schemes and Definitionsen
dc.typeThesisen
thesis.degree.disciplineMathematicsen
thesis.degree.grantorVirginia Polytechnic Institute and State Universityen
thesis.degree.levelmastersen
thesis.degree.nameMaster of Scienceen

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