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ACER: A Framework on the Use of Mathematics in Upper-division Physics
written by Marcos D. Caballero, Bethany R. Wilcox, Rachel E. Pepper, and Steven J. Pollock
At the University of Colorado Boulder, as part of our broader efforts to transform middle- and upper-division physics courses, we research students' difficulties with particular concepts, methods, and tools in classical mechanics, electromagnetism, and quantum mechanics. Unsurprisingly, a number of difficulties are related to students' use of mathematical tools (e.g., approximation methods). Previous work has documented a number of challenges that students must overcome to use mathematical tools fluently in introductory physics (e.g., mapping meaning onto mathematical symbols). We have developed a theoretical framework to facilitate connecting students' difficulties to challenges with specific mathematical and physical concepts. In this paper, we motivate the need for this framework and demonstrate its utility for both researchers and course instructors by applying it to frame results from interview data on students' use of Taylor approximations.
Physics Education Research Conference 2012
Part of the PER Conference series
Philadelphia, PA: August 1-2, 2012
Volume 1513, Pages 90-93
Subjects Levels Resource Types
Education Foundations
- Alternative Conceptions
- Cognition
- Learning Theory
- Student Characteristics
= Skills
Mathematical Tools
- Series and Functions
= Taylor and Power Series
- Upper Undergraduate
- Reference Material
= Research study
Intended Users Formats Ratings
- Researchers
- application/pdf
- non-digital
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Mirror:
https://doi.org/10.1063/1.4789659
Access Rights:
Free access and
Available for purchase
A preprint of the work is available. A hard copy of the PERC 2012 proceedings is available for purchase from the AIP.
Restriction:
© 2012 American Institute of Physics
DOI:
10.1063/1.4789659
PACSs:
01.30.Ib
01.40.Di
01.40.Fk
01.40.G-
01.40.gb
Keywords:
PERC 2012, classical mechanics, math methods, resources, task analysis
Record Cloner:
Metadata instance created November 2, 2025 by Lyle Barbato
Record Updated:
November 2, 2025 by Lyle Barbato
Last Update
when Cataloged:
January 24, 2013
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Record Link
AIP Format
M. Caballero, B. Wilcox, R. Pepper, and S. Pollock, , presented at the Physics Education Research Conference 2012, Philadelphia, PA, 2012, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=17197&DocID=6119).
AJP/PRST-PER
M. Caballero, B. Wilcox, R. Pepper, and S. Pollock, ACER: A Framework on the Use of Mathematics in Upper-division Physics, presented at the Physics Education Research Conference 2012, Philadelphia, PA, 2012, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=17197&DocID=6119>.
APA Format
Caballero, M., Wilcox, B., Pepper, R., & Pollock, S. (2012, August 1-2). ACER: A Framework on the Use of Mathematics in Upper-division Physics. Paper presented at Physics Education Research Conference 2012, Philadelphia, PA. Retrieved November 8, 2025, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=17197&DocID=6119
Chicago Format
Caballero, M, B. Wilcox, R. Pepper, and S. Pollock. "ACER: A Framework on the Use of Mathematics in Upper-division Physics." Paper presented at the Physics Education Research Conference 2012, Philadelphia, PA, August 1-2, 2012. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=17197&DocID=6119 (accessed 8 November 2025).
MLA Format
Caballero, Marcos D., Bethany Wilcox, Rachel Pepper, and Steven Pollock. "ACER: A Framework on the Use of Mathematics in Upper-division Physics." Physics Education Research Conference 2012. Philadelphia, PA: 2012. 90-93 Vol. 1513 of PER Conference. 8 Nov. 2025 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=17197&DocID=6119>.
BibTeX Export Format
@inproceedings{ Author = "Marcos D. Caballero and Bethany Wilcox and Rachel Pepper and Steven Pollock", Title = {ACER: A Framework on the Use of Mathematics in Upper-division Physics}, BookTitle = {Physics Education Research Conference 2012}, Pages = {90-93}, Address = {Philadelphia, PA}, Series = {PER Conference}, Volume = {1513}, Month = {August 1-2}, Year = {2012} }
Refer Export Format

%A Marcos D. Caballero %A Bethany Wilcox %A Rachel Pepper %A Steven Pollock %T ACER: A Framework on the Use of Mathematics in Upper-division Physics %S PER Conference %V 1513 %D August 1-2 2012 %P 90-93 %C Philadelphia, PA %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=17197&DocID=6119 %O Physics Education Research Conference 2012 %O August 1-2 %O application/pdf

EndNote Export Format

%0 Conference Proceedings %A Caballero, Marcos D. %A Wilcox, Bethany %A Pepper, Rachel %A Pollock, Steven %D August 1-2 2012 %T ACER: A Framework on the Use of Mathematics in Upper-division Physics %B Physics Education Research Conference 2012 %C Philadelphia, PA %V 1513 %P 90-93 %S PER Conference %8 August 1-2 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=17197&DocID=6119


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