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Abstract Title: Dynamic conceptual blending analysis to model student reasoning processes while integrating mathematics and physics
Abstract: Conceptual blending has been used to study student reasoning at the math-physics interface, but the current emphasis is mostly on the product of student reasoning, while information about the reasoning process is missing in the analysis. Therefore, we adapted the blending diagrams to also include the dynamics of student reasoning. In this session, we will use data from an interview study that focused on undergraduate students' understanding of boundary conditions for the heat equation. We demonstrate the construction of a dynamic blending diagram (DBD) and its use as an analytical framework. We show that by using a DBD, we can judge the degree to which students integrate their understanding of mathematics and physics. The DBD also enables the reader to follow the line of reasoning of the students. Moreover, a DBD can be used to diagnose difficulties in student reasoning.
Abstract Type: Symposium Talk
Parallel Session: Using the theory of conceptual blending at the mathematics-physics interface

Author/Organizer Information

Primary Contact: Sofie van den Eynde
Katholieke Universiteit Leuven
Co-Author(s)
and Co-Presenter(s)
Benjamin P. Schermerhorn, California State University Fullerton
Johan Deprez, KU Leuven
Martin Goedhart, University of Groningen
John R. Thompson, University of Maine
Mieke De Cock, KU Leuven