Undergraduate Thesis Or Project
 

Solution method and error evolution of student responses to chain rule problems within a thermodynamics course

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https://ir.library.oregonstate.edu/concern/undergraduate_thesis_or_projects/q237ht32z

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  • Chain rules are critical to the process of solving many thermodynamics-related partial derivatives. This study evaluates the solution method and error evolution of students’ responses to a pair of chain rule problems in an upper-level undergraduate thermodynamics course. Students’ responses were categorized by solution method. Students’ solution methods included implicit differentiation, substitution, differential algebra, and chain rule diagrams. In addition to categorizing students’ solution methods, students’ errors were sorted and analyzed. In particular, many students did not know how to hold the appropriate variable(s) constant while evaluating partial derivatives. Students also had difficulties identifying partial derivatives, and reading and building chain rule diagrams. These results could be used to improve student understanding of partial derivatives and chain rules by adjusting the order, portrayal, and intensity of course material.
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