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1.
SEI: Classical Mechanics/Math Methods I Course Materials
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S. Goldhaber and S. Pollock -
Online Resource
This web site provides research-based materials for a sophomore-level course in classical mechanics and mathematical methods. This material focuses on the mathematical foundation of…
https://physicscourses.colorado.edu/EducationIssues/ClassicalMechanics/i...
2.
Upper-Division Students' Use of Separation of Variables
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S. Pollock and B. Wilcox, PERC 2015 Proceedings, 259-262.
Separation of variables can be a powerful technique for solving many of the partial differential equations that arise in physics contexts. Upper-division physics students encounter…
https://www.per-central.org/document/ServeFile.cfm?ID=13886&DocID=4304
3.
From Fear To Fun In Thermodynamics
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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…
https://www.per-central.org/document/ServeFile.cfm?ID=13092&DocID=3627
4.
The Partial Derivative Machine
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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…
https://www.per-central.org/document/ServeFile.cfm?ID=13148&DocID=3695
5.
Experts' Understanding of Partial Derivatives Using the Partial Derivative Machine
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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…
https://www.per-central.org/document/ServeFile.cfm?ID=13493&DocID=4088
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Student reasoning about multivariable covariation in thermodynamics
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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…
https://www.per-central.org/document/ServeFile.cfm?ID=15270&DocID=5181
7.
Student Interpretations of Partial Derivatives
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P. Emigh and C. Manogue, PERC 2017 Proceedings, 120-123.
We present results from an investigation into how students interpret partial derivatives at different points in their undergraduate career. We gave a long-answer survey to students…
https://www.per-central.org/document/ServeFile.cfm?ID=14584&DocID=4761
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Student responses to chain rule problems in thermodynamics
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I. Founds, P. Emigh, and C. Manogue, PERC 2017 Proceedings, 136-139.
Students often struggle with the many partial derivatives used in the study of thermodynamics. This project explores how students respond to chain rule problems in an upper-level…
https://www.per-central.org/document/ServeFile.cfm?ID=14588&DocID=4765
9.
Student determination of differential area elements in upper-division physics
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B. Schermerhorn and J. Thompson, PERC 2017 Proceedings, 356-359.
Given the significance of understanding differential area vectors in multivariable coordinate systems to the learning of electricity and magnetism (E&M), students in junior-level E&M…
https://www.per-central.org/document/ServeFile.cfm?ID=14644&DocID=4821
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Finding Derivatives from an Equipotential Graph
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P. Emigh and C. Manogue, PERC 2022 Proceedings, 163-169.
We examine how upper-division physics students find derivatives from an equipotential graph in an individual interview setting. We focus specifically on identifying the different…
https://www.per-central.org/document/ServeFile.cfm?ID=16226&DocID=5595
