Title page for ETD etd-05172011-121003

Type of Document Master's Thesis
Author Plaxco, David Bryant
Author's Email Address dplaxco@vt.edu
URN etd-05172011-121003
Title Relationship Between Students' Proof Schemes and Definitions
Degree Master of Science
Department Mathematics
Advisory Committee
Advisor Name Title
Norton, Anderson H. III Committee Chair
Loehr, Nicholas A. Committee Member
Wilkins, Jesse L. M. Committee Member
  • undergraduate education
  • mathematics education
  • mutual exclusivity
  • probabilistic independence
  • proof
  • definition
Date of Defense 2011-05-04
Availability unrestricted
This 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.
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