PROCEEDINGS OF THE 23RD ANNUAL CONFERENCE ON RESEARCH IN UNDERGRADUATE MATHEMATICS EDUCATION
2020
Boston, Massachusetts
Designing proof comprehension tests in real analysis
Page: 1264
This poster presents a project aimed at developing and validating short tests to assess students’ comprehension of eight proofs that are commonly studied in undergraduate real analysis courses. We describe the project’s method, illustrating a process of fine-tuning items through the analysis of undergraduate students’ responses and mathematicians’ evaluations of these items. We also discuss some of the difficulties we encountered when designing proof comprehension tests in this context. In particular, we discuss challenges regarding (1) the heterogeneity of course curricular approaches to present these theorems and their proofs, and (2) the assessment of different facets of understanding a proof in this setting.