Assessing ITP Students' Validating Ability: Framing, Developing and Validating a Pilot Assessment

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dc.contributor.advisorWhite, Alex
dc.contributor.advisorMelhuish, Kate
dc.contributor.authorFagan, Joshua B.
dc.contributor.committeeMemberStrickland, Sharon
dc.contributor.committeeMemberWeber, Keith
dc.date.accessioned2019-07-23T19:32:18Z
dc.date.available2019-07-23T19:32:18Z
dc.date.issued2019-08
dc.description.abstractIn this paper I discuss the process of creating a closed-form multiple-choice assessment of students’ ability to validate mathematical proofs at the introduction to proof (ITP) level. This process involved: (1) creating and validating a cohesive framework of common validity issues (CVI) in proof writing as a basis for assessment creation through a mathematician survey (N=228) and two focus groups (N=4 & N=7); (2) creating and piloting an open version of the assessment as a means to create distractors for the closed assessment; (3) creating, piloting (N=187) and analyzing the results from the closed form assessment; and (4) conducting interviews with student participants after the pilot to determine the characteristics of the process that students took during the pilot. The results of the processes offer an assessment that, with some refinement, can authentically measure students’ ability to validate mathematical arguments from a number of perspectives in the ITP setting.
dc.description.departmentMathematics
dc.formatText
dc.format.extent182 pages
dc.format.medium1 file (.pdf)
dc.identifier.citationFagan, J. B. (2019). <i>Assessing ITP students' validating ability: Framing, developing and validating a pilot assessment</i> (Unpublished dissertation). Texas State University, San Marcos, Texas.
dc.identifier.urihttps://hdl.handle.net/10877/8392
dc.language.isoen
dc.subjectProof
dc.subjectValidating
dc.subjectResearch assessment development
dc.subjectMathematical practice
dc.subject.lcshProof theory
dc.subject.lcshMathematics--Study and teaching
dc.titleAssessing ITP Students' Validating Ability: Framing, Developing and Validating a Pilot Assessment
dc.typeDissertation
thesis.degree.departmentMathematics
thesis.degree.disciplineMathematics Education
thesis.degree.grantorTexas State University
thesis.degree.levelDoctoral
thesis.degree.nameDoctor of Philosophy

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