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Student Views About Truth In Axiomatic Mathematics

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PROCEEDINGS OF THE 17TH ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION

2014

Denver, Colorado

Student Views About Truth In Axiomatic Mathematics

Page: 739

An undergraduate mathematics major should come to hold appropriate views about the conclusions reached by our disciplinary methods. This project explores the views about truth in axiomatic mathematics of a group of students who are (mostly) in their final proof-based course, Modern Geometry. Do these students hold expert-like views about truth in mathematics, and do those views change during a course that emphasizes epistemological themes? I find preliminarily that many of these experienced students do not distinguish the truth-value of theorems from that of definitions or axioms at the start of the term, but they develop more expert-like perspectives on truth during the course.

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