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Abstract Title: How Students Reason about Changes when Finding Partial Derivatives
Abstract: Partial derivatives are among the many mathematical tools used throughout physics to help describe the physical world.  We have been investigating how students are able to determine and interpret partial derivatives both symbolically and from contour graphs with mathematical, electrostatic, and thermodynamic contexts.  While many students had strong procedural abilities for calculating derivatives, most did not strongly link this process (of finding a partial derivative) with the idea of "holding a variable constant," especially when dealing with a thermodynamics context.  We found this to be true regardless of the representation in which students were asked to work.  These results suggest a deeper theoretical framework is needed for understanding how students think about partial derivatives.
Abstract Type: Symposium Talk
Parallel Session: Considering covariational reasoning in math and physics

Author/Organizer Information

Primary Contact: Paul J. Emigh
Oregon State University
Co-Author(s)
and Co-Presenter(s)
Ian W. Founds & Corinne A. Manogue