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Analyzing student understanding of vector field plots with respect to divergence
written by Pascal Klein and Jochen Kuhn
A survey with N = 39 second-year students demonstrates that most students fail to relate graphical vector field representations to the concept of divergence. Even after providing them with two visual strategies (integral vs. derivative strategy), students still struggle to indicate whether vector fields have zero or non-zero divergence. To gain further insight into student reasoning, we captured their visual attention on the field plot via eye tracking. Fixation patterns and relevant eye-tracking measures reveal that both visual strategies are cognitively processed differently, and that success of either strategy depends on field characteristics. Future research will be outlined.
Physics Education Research Conference 2017
Part of the PER Conference series
Cincinnati, OH: July 26-27, 2017
Pages 220-223
Subjects Levels Resource Types
Education - Applied Research
- Instructional Material Design
= Activity
- Technology
Education - Basic Research
- Cognition
Electricity & Magnetism
- Electric Fields and Potential
= Electric Field
Mathematical Tools
- Vector Calculus
= Divergence
= Vector Field
- Upper Undergraduate
- Reference Material
= Research study
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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.050
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
P. Klein and J. Kuhn, presented at the Physics Education Research Conference 2017, Cincinnati, OH, 2017, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14609&DocID=4786).
AJP/PRST-PER
P. Klein and J. Kuhn, Analyzing student understanding of vector field plots with respect to divergence, presented at the Physics Education Research Conference 2017, Cincinnati, OH, 2017, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14609&DocID=4786>.
APA Format
Klein, P., & Kuhn, J. (2017, July 26-27). Analyzing student understanding of vector field plots with respect to divergence. Paper presented at Physics Education Research Conference 2017, Cincinnati, OH. Retrieved July 3, 2020, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14609&DocID=4786
Chicago Format
Klein, Pascal, and Jochen Kuhn. "Analyzing student understanding of vector field plots with respect to divergence." Paper presented at the Physics Education Research Conference 2017, Cincinnati, OH, July 26-27, 2017. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14609&DocID=4786 (accessed 3 July 2020).
MLA Format
Klein, Pascal, and Jochen Kuhn. "Analyzing student understanding of vector field plots with respect to divergence." Physics Education Research Conference 2017. Cincinnati, OH: 2017. 220-223 of PER Conference. 3 July 2020 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14609&DocID=4786>.
BibTeX Export Format
@inproceedings{ Author = "Pascal Klein and Jochen Kuhn", Title = {Analyzing student understanding of vector field plots with respect to divergence}, BookTitle = {Physics Education Research Conference 2017}, Pages = {220-223}, Address = {Cincinnati, OH}, Series = {PER Conference}, Month = {July 26-27}, Year = {2017} }
Refer Export Format

%A Pascal Klein
%A Jochen Kuhn
%T Analyzing student understanding of vector field plots with respect to divergence
%S PER Conference
%D July 26-27 2017
%P 220-223
%C Cincinnati, OH
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14609&DocID=4786
%O Physics Education Research Conference 2017
%O July 26-27
%O application/pdf

EndNote Export Format

%0 Conference Proceedings
%A Klein, Pascal
%A Kuhn, Jochen
%D July 26-27 2017
%T Analyzing student understanding of vector field plots with respect to divergence
%B Physics Education Research Conference 2017
%C Cincinnati, OH
%P 220-223
%S PER Conference
%8 July 26-27
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14609&DocID=4786


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