Monday, November 12, 2018 at 4:30pm to 5:30pm
Kaprielian Hall (KAP), 427
3620 South Vermont Avenue, Los Angeles, CA 90089
Eyob Demeke, Department of Mathematics, Cal State LA
In undergraduate mathematics, students are frequently asked to construct and/or validate proofs; however, rarely are they assessed on proof comprehension. Even when mathematicians assess students’ proof comprehension, they do so by asking students to reproduce proofs students had seen in class. However, it is unclear the extent to which that method yields useful insight into students understanding of proofs. In this talk, I will discuss alternative, and potentially effective ways of assessing proof comprehension. My interpretation of what it means to comprehend a proof is based on a proof comprehension model developed by Mejia-Ramos, et al. (2012). The talk, in particular, examines undergraduate students attempting to summarize/modularize a proof using its higher-level ideas. Focus is given to students’ attention to key ideas in the proof and the method used in the proof.