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Seeking physical/mathematical coherence by recruiting and reconciling reasoning: A case study in E&M
written by Gabriel S. Ehrlich, Katherine Gifford, Eric Kuo, and Engin Bumbacher
The entanglement between physical and mathematical reasoning can be exploited for problem solving, making physical/mathematical coherence seeking a desirable learning goal. Our research aim is to contribute an empirical example of physical/mathematical coherence seeking during physics problem solving. Drawing from a video corpus of 18 interviews with students solving qualitative E&M problems, we present a case study of how and why a student reasons coherently with physical entities/processes and mathematical equations across three lines of reasoning. We focus especially on the role of the student's attempt to seek coherence, which explains their serious consideration of a contradiction that arises between a physical and a mathematical line of reasoning. Even after reaching the correct conclusion, the student recruits a third line of reasoning involving ideas from outside the explicit problem statement to resolve the contradiction. We end by discussing hypotheses about how instruction in physical/mathematical coherence seeking could support students in problem solving.
Physics Education Research Conference 2021
Part of the PER Conference series
Virtual Conference: August 4-5, 2021
Pages 111-116
Subjects Levels Resource Types
Education - Basic Research
- Cognition
- Problem Solving
= Frameworks
= Processes
- Student Characteristics
= Skills
General Physics
- Scientific Reasoning
- Lower Undergraduate
- Graduate/Professional
- Upper Undergraduate
- Reference Material
= Research study
PER-Central Type Intended Users Ratings
- PER Literature
- Researchers
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Format:
application/pdf
Mirror:
https://doi.org/10.1119/perc.2021…
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.2021.pr.Ehrlich
NSF Numbers:
1659598
1950744
Keyword:
PERC 2021
Record Creator:
Metadata instance created September 28, 2021 by Lyle Barbato
Record Updated:
September 29, 2021 by Lyle Barbato
Last Update
when Cataloged:
October 10, 2021
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Record Link
AIP Format
G. Ehrlich, K. Gifford, E. Kuo, and E. Bumbacher, , presented at the Physics Education Research Conference 2021, Virtual Conference, 2021, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15734&DocID=5468).
AJP/PRST-PER
G. Ehrlich, K. Gifford, E. Kuo, and E. Bumbacher, Seeking physical/mathematical coherence by recruiting and reconciling reasoning: A case study in E&M, presented at the Physics Education Research Conference 2021, Virtual Conference, 2021, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15734&DocID=5468>.
APA Format
Ehrlich, G., Gifford, K., Kuo, E., & Bumbacher, E. (2021, August 4-5). Seeking physical/mathematical coherence by recruiting and reconciling reasoning: A case study in E&M. Paper presented at Physics Education Research Conference 2021, Virtual Conference. Retrieved December 5, 2022, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15734&DocID=5468
Chicago Format
Ehrlich, G, K. Gifford, E. Kuo, and E. Bumbacher. "Seeking physical/mathematical coherence by recruiting and reconciling reasoning: A case study in E&M." Paper presented at the Physics Education Research Conference 2021, Virtual Conference, August 4-5, 2021. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15734&DocID=5468 (accessed 5 December 2022).
MLA Format
Ehrlich, Gabriel S., Katherine Gifford, Eric Kuo, and Engin Bumbacher. "Seeking physical/mathematical coherence by recruiting and reconciling reasoning: A case study in E&M." Physics Education Research Conference 2021. Virtual Conference: 2021. 111-116 of PER Conference. 5 Dec. 2022 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15734&DocID=5468>.
BibTeX Export Format
@inproceedings{ Author = "Gabriel S. Ehrlich and Katherine Gifford and Eric Kuo and Engin Bumbacher", Title = {Seeking physical/mathematical coherence by recruiting and reconciling reasoning: A case study in E&M}, BookTitle = {Physics Education Research Conference 2021}, Pages = {111-116}, Address = {Virtual Conference}, Series = {PER Conference}, Month = {August 4-5}, Year = {2021} }
Refer Export Format

%A Gabriel S. Ehrlich %A Katherine Gifford %A Eric Kuo %A Engin Bumbacher %T Seeking physical/mathematical coherence by recruiting and reconciling reasoning: A case study in E&M %S PER Conference %D August 4-5 2021 %P 111-116 %C Virtual Conference %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15734&DocID=5468 %O Physics Education Research Conference 2021 %O August 4-5 %O application/pdf

EndNote Export Format

%0 Conference Proceedings %A Ehrlich, Gabriel S. %A Gifford, Katherine %A Kuo, Eric %A Bumbacher, Engin %D August 4-5 2021 %T Seeking physical/mathematical coherence by recruiting and reconciling reasoning: A case study in E&M %B Physics Education Research Conference 2021 %C Virtual Conference %P 111-116 %S PER Conference %8 August 4-5 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15734&DocID=5468


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Seeking physical/mathematical coherence by recruiting and reconciling reasoning: A case study in E&M:


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