P. Emigh, R. Siegel, J. Alfson, and E. Gire,
PERC 2019 Proceedings, 153-158.

Understanding how quantities in multivariable relationships covary is crucial for studying thermodynamics. To study how students reason about multivariable covariation, we asked…

D. Roundy, E. Weber, G. Sherer, and C. Manogue,
PERC 2014 Proceedings, 227-230.

We developed the Partial Derivative Machine (PDM) in response to difficulties we encountered in teaching students about mathematical concepts involving partial derivatives and total…

G. Sherer, M. Kustusch, C. Manogue, and D. Roundy,
PERC 2013 Proceedings, 341-344.

Research has shown that students struggle to understand the use of partial derivatives in thermodynamics. We have designed an apparatus, which we have called a Partial Derivative…

D. Roundy, A. Gupta, J. Wagner, T. Dray, M. Kustusch, and C. Manogue,
PERC 2013 Proceedings, 42-45.

The complexity of thermodynamics challenges many students as well as faculty. Understanding what a partial derivative represents may be key to reducing the anxiety associated with…