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Analogues in thermodynamics: the Partial Derivative Machine and Legendre transformations
written by
Michael Vignal, Corinne A. Manogue, David J. Roundy, and Elizabeth Gire
One commonly and persistently difficult topic in thermodynamics is the relationship between the different thermodynamic potentials obtained through Legendre transformations. The Partial Derivative Machine (PDM) was developed at Oregon State University to be a mechanical analogue of a thermodynamic system. This analogue allows students to explore the mathematics of thermodynamics, including Legendre transformations, on a mechanical system that students can understand without having to first learn new physical concepts. We conducted 12 teaching interviews with middle-division undergraduate physics majors to explore student usage of the PDM. In these interviews, we taught interview participants Legendre transformations on the PDM and then asked them to perform a thermodynamics transfer problem. We found that participants used the PDM productively and in different ways while performing the transfer problem. Furthermore, many participants stated that the teaching interview helped their understanding of Legendre transformations.
Physics Education Research Conference 2017
Part of the PER Conference series Cincinnati, OH: July 26-27, 2017 Pages 404-407
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Record Link
<a href="https://www.per-central.org/items/detail.cfm?ID=14656">Vignal, M, C. Manogue, D. Roundy, and E. Gire. "Analogues in thermodynamics: the Partial Derivative Machine and Legendre transformations." Paper presented at the Physics Education Research Conference 2017, Cincinnati, OH, July 26-27, 2017.</a>
AIP Format
M. Vignal, C. Manogue, D. Roundy, and E. Gire, , presented at the Physics Education Research Conference 2017, Cincinnati, OH, 2017, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14656&DocID=4833).
AJP/PRST-PER
M. Vignal, C. Manogue, D. Roundy, and E. Gire, Analogues in thermodynamics: the Partial Derivative Machine and Legendre transformations, presented at the Physics Education Research Conference 2017, Cincinnati, OH, 2017, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14656&DocID=4833>.
APA Format
Vignal, M., Manogue, C., Roundy, D., & Gire, E. (2017, July 26-27). Analogues in thermodynamics: the Partial Derivative Machine and Legendre transformations. Paper presented at Physics Education Research Conference 2017, Cincinnati, OH. Retrieved October 11, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14656&DocID=4833
Chicago Format
Vignal, M, C. Manogue, D. Roundy, and E. Gire. "Analogues in thermodynamics: the Partial Derivative Machine and Legendre transformations." Paper presented at the Physics Education Research Conference 2017, Cincinnati, OH, July 26-27, 2017. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14656&DocID=4833 (accessed 11 October 2024).
MLA Format
Vignal, Michael, Corinne Manogue, David Roundy, and Elizabeth Gire. "Analogues in thermodynamics: the Partial Derivative Machine and Legendre transformations." Physics Education Research Conference 2017. Cincinnati, OH: 2017. 404-407 of PER Conference. 11 Oct. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14656&DocID=4833>.
BibTeX Export Format
@inproceedings{
Author = "Michael Vignal and Corinne Manogue and David Roundy and Elizabeth Gire",
Title = {Analogues in thermodynamics: the Partial Derivative Machine and Legendre transformations},
BookTitle = {Physics Education Research Conference 2017},
Pages = {404-407},
Address = {Cincinnati, OH},
Series = {PER Conference},
Month = {July 26-27},
Year = {2017}
}
Refer Export Format
%A Michael Vignal %A Corinne Manogue %A David Roundy %A Elizabeth Gire %T Analogues in thermodynamics: the Partial Derivative Machine and Legendre transformations %S PER Conference %D July 26-27 2017 %P 404-407 %C Cincinnati, OH %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14656&DocID=4833 %O Physics Education Research Conference 2017 %O July 26-27 %O application/pdf
EndNote Export Format
%0 Conference Proceedings %A Vignal, Michael %A Manogue, Corinne %A Roundy, David %A Gire, Elizabeth %D July 26-27 2017 %T Analogues in thermodynamics: the Partial Derivative Machine and Legendre transformations %B Physics Education Research Conference 2017 %C Cincinnati, OH %P 404-407 %S PER Conference %8 July 26-27 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14656&DocID=4833 Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
Citation Source Information
The AIP Style presented is based on information from the AIP Style Manual. The AJP/PRST-PER presented is based on the AIP Style with the addition of journal article titles and conference proceeding article titles. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. Analogues in thermodynamics: the Partial Derivative Machine and Legendre transformations:Know of another related resource? Login to relate this resource to it. |
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