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Examining student understanding of matrix algebra and eigentheory
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
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Record Link
<a href="https://www.per-central.org/items/detail.cfm?ID=15485">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.</a>
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 25, 2025, 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 25 March 2025).
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. 25 Mar. 2025 <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 Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
Citation Source Information
The AIP Style presented is based on information from the AIP Style Manual. The AJP/PRST-PER presented is based on the AIP Style with the addition of journal article titles and conference proceeding article titles. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. Examining student understanding of matrix algebra and eigentheory:Know of another related resource? Login to relate this resource to it. |
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