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Results #1-#8 of 8
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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…
http://www.per-central.org/document/ServeFile.cfm?ID=14644&DocID=4821
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…
http://www.per-central.org/document/ServeFile.cfm?ID=14588&DocID=4765
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…
http://www.per-central.org/document/ServeFile.cfm?ID=14584&DocID=4761
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…
http://www.per-central.org/document/ServeFile.cfm?ID=13886&DocID=4304
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...
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…
http://www.per-central.org/document/ServeFile.cfm?ID=13493&DocID=4088
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…
http://www.per-central.org/document/ServeFile.cfm?ID=13148&DocID=3695
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…
http://www.per-central.org/document/ServeFile.cfm?ID=13092&DocID=3627