The Role of Epistemology and Epistemic Games in Mediating the Use of Mathematics in Chemistry: Implications for Mathematics Instruction and Research on Undergraduate Mathematics Education

Mathematics is used in the physical sciences to describe and model phenomena, resulting in a unique interface between mathematics and disciplines such as chemistry and physics. This paper focuses on themes emerging from a larger project that investigated how students understand and use mathematics in chemical kinetics, a field of study concerned with monitoring the rate of chemical reactions. The primary data source for this study involved a subset of the data from the larger project, focusing on semi-structured interviews with 40 students sampled from a second-semester general chemistry course. During the interviews students were asked to work through chemical kinetics problems that could be solved without calculations (using relationships between quantities and chemistry principles) or they could be solved algorithmically (using equations and the provided data). The interviews were analyzed using the construct of epistemic games, which describe a collection of resources and an associated structure that define and guide problem-solving and reflect epistemological commitments. Findings indicate students have productive resources and approaches for engaging in problem-solving, reflected by the observed shared set of epistemic games. Implications emphasize the role of scaffolding and explicit questioning to prevent compartmentalization of chemistry and mathematics, suggesting the need for more support to help students productively apply the knowledge and skills learned in mathematics courses to contexts such as chemistry.