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Assessing proofs via oral interviews. (English)
Investig. Math. Learn. 4, No. 3, 1-14 (2012).
Summary: In this qualitative study, we explored how oral interviews can inform instructors about students’ understanding of abstract algebra and their ability to construct a proof in this setting. Our findings indicate that some student had a good understanding of the ideas needed for a subgroup proof, but could not write a coherent proof. On the other hand, these same students provided fairly sound verbal proofs. We discuss the implications of these results for teaching and future research.
Classification: D60 E50 H20 H30
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