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Student determination of differential area elements in upper-division physics
written by Benjamin P. Schermerhorn and John R. Thompson
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 were interviewed about E&M tasks involving integration over areas. In one task, students set up an integral for the magnetic flux through a square loop. A second task asked students to set up an integral to solve for the electric field from a circular sheet of charge. Analysis identified several treatments of the differential area: (1) a product of differential lengths, (2) a sum of differential lengths, (3) a product of a constant length with differential length in one direction, (4) a derivative of the expression for a given area, and (5) the full area.
Physics Education Research Conference 2017
Part of the PER Conference series
Cincinnati, OH: July 26-27, 2017
Pages 356-359
Subjects Levels Resource Types
Education - Basic Research
- Cognition
- Problem Solving
= Heuristics
- Student Characteristics
= Skills
Electricity & Magnetism
- Electrostatics
= Coulomb's Law
Mathematical Tools
- Coordinate Systems
- Multivariable Calculus
= Multiple Integral
= Surface Integral
- Upper Undergraduate
- Reference Material
= Research study
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- Researchers
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Format:
application/pdf
Mirror:
http://dx.doi.org/10.1119/perc.20…
Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution 3.0 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.2017.pr.084
NSF Number:
1405726
Keyword:
PERC 2017
Record Creator:
Metadata instance created February 26, 2018 by Lyle Barbato
Record Updated:
March 1, 2018 by Bruce Mason
Last Update
when Cataloged:
March 1, 2018
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Record Link
AIP Format
B. Schermerhorn and J. Thompson, presented at the Physics Education Research Conference 2017, Cincinnati, OH, 2017, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14644&DocID=4821).
AJP/PRST-PER
B. Schermerhorn and J. Thompson, Student determination of differential area elements in upper-division physics, presented at the Physics Education Research Conference 2017, Cincinnati, OH, 2017, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14644&DocID=4821>.
APA Format
Schermerhorn, B., & Thompson, J. (2017, July 26-27). Student determination of differential area elements in upper-division physics. Paper presented at Physics Education Research Conference 2017, Cincinnati, OH. Retrieved April 7, 2020, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14644&DocID=4821
Chicago Format
Schermerhorn, Benjamin P., and John Thompson. "Student determination of differential area elements in upper-division physics." Paper presented at the Physics Education Research Conference 2017, Cincinnati, OH, July 26-27, 2017. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14644&DocID=4821 (accessed 7 April 2020).
MLA Format
Schermerhorn, Benjamin P., and John Thompson. "Student determination of differential area elements in upper-division physics." Physics Education Research Conference 2017. Cincinnati, OH: 2017. 356-359 of PER Conference. 7 Apr. 2020 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14644&DocID=4821>.
BibTeX Export Format
@inproceedings{ Author = "Benjamin P. Schermerhorn and John Thompson", Title = {Student determination of differential area elements in upper-division physics}, BookTitle = {Physics Education Research Conference 2017}, Pages = {356-359}, Address = {Cincinnati, OH}, Series = {PER Conference}, Month = {July 26-27}, Year = {2017} }
Refer Export Format

%A Benjamin P. Schermerhorn
%A John Thompson
%T Student determination of differential area elements in upper-division physics
%S PER Conference
%D July 26-27 2017
%P 356-359
%C Cincinnati, OH
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14644&DocID=4821
%O Physics Education Research Conference 2017
%O July 26-27
%O application/pdf

EndNote Export Format

%0 Conference Proceedings
%A Schermerhorn, Benjamin P.
%A Thompson, John
%D July 26-27 2017
%T Student determination of differential area elements in upper-division physics
%B Physics Education Research Conference 2017
%C Cincinnati, OH
%P 356-359
%S PER Conference
%8 July 26-27
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14644&DocID=4821


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The AIP Style presented is based on information from the AIP Style Manual.

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