The Use of Proof Comprehension as a Self-Assessment Tool in Undergraduate Proof Writing
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Research has shown that self-assessment techniques can improve understanding and academic performance for mathematics students. As proof construction, validation, and comprehension have proven to be facets of mathematics with which students can use more learning opportunities, Mejía-Ramos et al. (2012) present an assessment model for proof comprehension. For our project, this framework is utilized in understanding proof self-assessment, with the goal of aiding students in the process of proof construction and validation. In this preliminary report, we provide results from the first phase of our project, in which we surveyed seven university mathematics faculty about their approaches to proof construction and self-assessment. Results from this study are being used to generate a proof self-assessment tool through the lens of proof comprehension that undergraduate students may use to improve their proof writing strategies. Pedagogical suggestions are also provided based on these results.