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Creators/Authors contains: "Schermerhorn, B. P."

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  1. ; (, Proceedings of the Annual Conference on Research in Undergraduate Mathematics Education)
    Karunakaran, S. S.; Higgins, A. (Ed.)
    Interdisciplinary studies illuminate ways mathematics is incorporated into core STEM courses. Vector normalization is a crosscutting idea that appears in several mathematics and physics courses. The research question pursued in this study is: how do quantum physics students reason about normalization of vectors from ℝ2 and ℂ2, before and after quantum mechanics instruction? The data are analyzed using the theory of coordination classes (diSessa & Sherin, 1998). Results focus on students’ thinking as they normalize different types of vectors: (A) a real vector and (B) a complex vector before instruction; and (C) a complex vector after instruction. Analysis identifies the ideas students coordinate when problem solving, which problem aspects students attend to, and how students take up or disregard ideas while they problem solve. 
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