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
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![]() <a href="https://www.compadre.org/portal/items/detail.cfm?ID=16263">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.</a>
![]() 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).
![]() 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>.
![]() 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 May 3, 2025, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16263&DocID=5632
![]() 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 3 May 2025).
![]() 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. 3 May 2025 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=16263&DocID=5632>.
![]() @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}
}
![]() %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 ![]() %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 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.
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