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Student understanding of divergence and curl in upper-division electricity and magnetism
written by J. Toby Stuckey and Gina M. Quan
The purpose of this paper is to understand and characterize student thinking about the physics concepts of divergence and curl in the context of upper-division electromagnetism for physics majors. We interviewed five students at a west coast university who had taken at least one semester of upper-division electricity and magnetism. The interview prompted students to describe divergence and curl in multiple representations (visually, mathematically, qualitatively). Our analysis identified that students can notice but struggle to resolve discrepancies between the mathematical calculations and the graphical representations of vector fields. We illustrate examples of when students appear to have a disconnect between these two representations and utilize ideas from related, but inappropriate representations. By providing examples of how students interpret divergence and curl both conceptually and mathematically, we hope to inform instructors of potential hurdles students may face when taking upper-division E&M.
Physics Education Research Conference 2024
Part of the PER Conference series
Boston, MA: July 10-11, 2024
Pages 414-419
Subjects Levels Resource Types
Education - Basic Research
- Alternative Conceptions
- Problem Solving
= Representational Use
- Student Characteristics
= Skills
Electricity & Magnetism
- Electric Fields and Potential
- Magnetic Fields and Forces
Mathematical Tools
- Vector Calculus
= Curl
= Divergence
- Upper Undergraduate
- Reference Material
= Research study
PER-Central Type Intended Users Ratings
- PER Literature
- Researchers
- Professional/Practitioners
- Educators
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Format:
application/pdf
Mirror:
https://doi.org/10.1119/perc.2024…
Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution 4.0 license. Further distribution of this work must maintain attribution to the published article's author(s), title, proceedings citation, and DOI.
Rights Holder:
American Association of Physics Teachers
DOI:
10.1119/perc.2024.pr.Stuckey
Keyword:
PERC 2024
Record Creator:
Metadata instance created September 6, 2024 by Lyle Barbato
Record Updated:
September 12, 2024 by Lyle Barbato
Last Update
when Cataloged:
September 12, 2024
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Record Link
AIP Format
J. Stuckey and G. Quan, , presented at the Physics Education Research Conference 2024, Boston, MA, 2024, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16930&DocID=5997).
AJP/PRST-PER
J. Stuckey and G. Quan, Student understanding of divergence and curl in upper-division electricity and magnetism, presented at the Physics Education Research Conference 2024, Boston, MA, 2024, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16930&DocID=5997>.
APA Format
Stuckey, J., & Quan, G. (2024, July 10-11). Student understanding of divergence and curl in upper-division electricity and magnetism. Paper presented at Physics Education Research Conference 2024, Boston, MA. Retrieved October 10, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16930&DocID=5997
Chicago Format
Stuckey, J. Toby, and Gina Quan. "Student understanding of divergence and curl in upper-division electricity and magnetism." Paper presented at the Physics Education Research Conference 2024, Boston, MA, July 10-11, 2024. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16930&DocID=5997 (accessed 10 October 2024).
MLA Format
Stuckey, J. Toby, and Gina Quan. "Student understanding of divergence and curl in upper-division electricity and magnetism." Physics Education Research Conference 2024. Boston, MA: 2024. 414-419 of PER Conference. 10 Oct. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16930&DocID=5997>.
BibTeX Export Format
@inproceedings{ Author = "J. Toby Stuckey and Gina Quan", Title = {Student understanding of divergence and curl in upper-division electricity and magnetism}, BookTitle = {Physics Education Research Conference 2024}, Pages = {414-419}, Address = {Boston, MA}, Series = {PER Conference}, Month = {July 10-11}, Year = {2024} }
Refer Export Format

%A J. Toby Stuckey %A Gina Quan %T Student understanding of divergence and curl in upper-division electricity and magnetism %S PER Conference %D July 10-11 2024 %P 414-419 %C Boston, MA %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16930&DocID=5997 %O Physics Education Research Conference 2024 %O July 10-11 %O application/pdf

EndNote Export Format

%0 Conference Proceedings %A Stuckey, J. Toby %A Quan, Gina %D July 10-11 2024 %T Student understanding of divergence and curl in upper-division electricity and magnetism %B Physics Education Research Conference 2024 %C Boston, MA %P 414-419 %S PER Conference %8 July 10-11 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16930&DocID=5997


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