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Applying a symbolic forms lens to probability expressions in upper-division quantum mechanics
written by William D. Riihiluoma, Zeynep Topdemir, and John R. Thompson
As part of an effort to examine student understanding of expressions for probability in an upper-division spins-first quantum mechanics (QM) context, clinical think-aloud interviews were conducted with students following relevant instruction. Students were given various tasks to showcase their conceptual understanding of the mathematics and physics underpinning these expressions. The symbolic forms framework was used as a lens through which to analyze their understanding. Various symbol templates and conceptual schemata were identified, in Dirac and function notations, with multiple schemata paired with different templates. The overlapping linking suggests that defining strict template-schema pairs may not be feasible or productive for studying student interpretations of expressions for probability in upper-division QM courses.
Physics Education Research Conference 2022
Part of the PER Conference series
Grand Rapids, MI: July 13-14, 2022
Pages 383-388
Subjects Levels Resource Types
Education - Basic Research
- Assessment
= Conceptual Assessment
- Cognition
- Communication
= Representations
- Problem Solving
= Representational Use
- Student Characteristics
= Skills
Mathematical Tools
- Probability
Quantum Physics
- Foundations and Measurements
= Hilbert Space
= Projection Operators
= Wave Functions
- Upper Undergraduate
- Reference Material
= Research study
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Format:
application/pdf
Mirror:
https://doi.org/10.1119/perc.2022…
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.2022.pr.Riihiluoma
NSF Number:
1912087
Keyword:
PERC 2022
Record Creator:
Metadata instance created September 7, 2022 by Lyle Barbato
Record Updated:
September 15, 2022 by Bruce Mason
Last Update
when Cataloged:
September 15, 2022
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Record Link
AIP Format
W. Riihiluoma, Z. Topdemir, and J. Thompson, , presented at the Physics Education Research Conference 2022, Grand Rapids, MI, 2022, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16263&DocID=5632).
AJP/PRST-PER
W. Riihiluoma, Z. Topdemir, and J. Thompson, Applying a symbolic forms lens to probability expressions in upper-division quantum mechanics, presented at the Physics Education Research Conference 2022, Grand Rapids, MI, 2022, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16263&DocID=5632>.
APA Format
Riihiluoma, W., Topdemir, Z., & Thompson, J. (2022, July 13-14). Applying a symbolic forms lens to probability expressions in upper-division quantum mechanics. Paper presented at Physics Education Research Conference 2022, Grand Rapids, MI. Retrieved April 18, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16263&DocID=5632
Chicago Format
Riihiluoma, W, Z. Topdemir, and J. Thompson. "Applying a symbolic forms lens to probability expressions in upper-division quantum mechanics." Paper presented at the Physics Education Research Conference 2022, Grand Rapids, MI, July 13-14, 2022. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16263&DocID=5632 (accessed 18 April 2024).
MLA Format
Riihiluoma, William D., Zeynep Topdemir, and John Thompson. "Applying a symbolic forms lens to probability expressions in upper-division quantum mechanics." Physics Education Research Conference 2022. Grand Rapids, MI: 2022. 383-388 of PER Conference. 18 Apr. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16263&DocID=5632>.
BibTeX Export Format
@inproceedings{ Author = "William D. Riihiluoma and Zeynep Topdemir and John Thompson", Title = {Applying a symbolic forms lens to probability expressions in upper-division quantum mechanics}, BookTitle = {Physics Education Research Conference 2022}, Pages = {383-388}, Address = {Grand Rapids, MI}, Series = {PER Conference}, Month = {July 13-14}, Year = {2022} }
Refer Export Format

%A William D. Riihiluoma %A Zeynep Topdemir %A John Thompson %T Applying a symbolic forms lens to probability expressions in upper-division quantum mechanics %S PER Conference %D July 13-14 2022 %P 383-388 %C Grand Rapids, MI %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16263&DocID=5632 %O Physics Education Research Conference 2022 %O July 13-14 %O application/pdf

EndNote Export Format

%0 Conference Proceedings %A Riihiluoma, William D. %A Topdemir, Zeynep %A Thompson, John %D July 13-14 2022 %T Applying a symbolic forms lens to probability expressions in upper-division quantum mechanics %B Physics Education Research Conference 2022 %C Grand Rapids, MI %P 383-388 %S PER Conference %8 July 13-14 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16263&DocID=5632


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