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Examining student understanding of matrix algebra and eigentheory
written by Pachi Her and Michael E. Loverude
Matrix algebra and eigentheory are important to students' learning of physics in upper division physics courses. In this study, we investigated how students apply matrix algebra and eigentheory in various physics contexts, excluding quantum mechanics. The data collected consist of student written responses taken from a math methods course. We used the Physical-Mathematical Model (Uhden et al., 2011) to categorize each question by the three skills the model presents: mathematization, interpretation, and technical operation. The results from our data show that students have difficulty with mathematizing and interpreting the mathematical and physical system of a matrix equation, but are fluent in technical operations. We will present examples of student responses illustrating student reasoning, and discuss implications for classroom instruction.
Physics Education Research Conference 2020
Part of the PER Conference series
Virtual Conference: July 22-23, 2020
Pages 210-215
Subjects Levels Resource Types
Education - Basic Research
- Alternative Conceptions
- Problem Solving
= Processes
- Student Characteristics
= Skills
Electricity & Magnetism
- AC Circuits
= RLC Circuits - AC
Mathematical Tools
- Linear Algebra and Tensors
= Eigenvalues and Eigenvectors
Oscillations & Waves
- Oscillations
= Coupled Oscillations
- Lower Undergraduate
- 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.2020…
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.2020.pr.Her
NSF Numbers:
1406035
1912660
Keyword:
PERC 2020
Record Creator:
Metadata instance created August 27, 2020 by Lyle Barbato
Record Updated:
August 31, 2020 by Bruce Mason
Last Update
when Cataloged:
September 1, 2020
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Record Link
AIP Format
P. Her and M. Loverude, presented at the Physics Education Research Conference 2020, Virtual Conference, 2020, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15485&DocID=5333).
AJP/PRST-PER
P. Her and M. Loverude, Examining student understanding of matrix algebra and eigentheory, presented at the Physics Education Research Conference 2020, Virtual Conference, 2020, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15485&DocID=5333>.
APA Format
Her, P., & Loverude, M. (2020, July 22-23). Examining student understanding of matrix algebra and eigentheory. Paper presented at Physics Education Research Conference 2020, Virtual Conference. Retrieved March 1, 2021, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15485&DocID=5333
Chicago Format
Her, Pachi, and Michael Loverude. "Examining student understanding of matrix algebra and eigentheory." Paper presented at the Physics Education Research Conference 2020, Virtual Conference, July 22-23, 2020. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15485&DocID=5333 (accessed 1 March 2021).
MLA Format
Her, Pachi, and Michael Loverude. "Examining student understanding of matrix algebra and eigentheory." Physics Education Research Conference 2020. Virtual Conference: 2020. 210-215 of PER Conference. 1 Mar. 2021 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15485&DocID=5333>.
BibTeX Export Format
@inproceedings{ Author = "Pachi Her and Michael Loverude", Title = {Examining student understanding of matrix algebra and eigentheory}, BookTitle = {Physics Education Research Conference 2020}, Pages = {210-215}, Address = {Virtual Conference}, Series = {PER Conference}, Month = {July 22-23}, Year = {2020} }
Refer Export Format

%A Pachi Her
%A Michael Loverude
%T Examining student understanding of matrix algebra and eigentheory
%S PER Conference
%D July 22-23 2020
%P 210-215
%C Virtual Conference
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15485&DocID=5333
%O Physics Education Research Conference 2020
%O July 22-23
%O application/pdf

EndNote Export Format

%0 Conference Proceedings
%A Her, Pachi
%A Loverude, Michael
%D July 22-23 2020
%T Examining student understanding of matrix algebra and eigentheory
%B Physics Education Research Conference 2020
%C Virtual Conference
%P 210-215
%S PER Conference
%8 July 22-23
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15485&DocID=5333


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