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Improving student understanding of Dirac notation by using analogical reasoning in the context of a three-dimensional vector space
written by
Emily Marshman and Chandralekha Singh
Dirac notation is a compact and elegant notation taught to students in advanced quantum mechanics courses. However, students struggle to master Dirac notation and have difficulty translating between the Dirac notation and representations of the same quantum mechanical entity in different situations. We discuss an investigation of student difficulties with Dirac notation in the context of a three-dimensional vector space and the development, validation and evaluation of a Quantum Interactive Learning Tutorial (QuILT) that uses analogical reasoning to improve student understanding of this notation. The QuILT uses analogical reasoning and builds on students' prior knowledge of three-dimensional vectors in the familiar context of introductory mechanicsto help students build a coherent understanding of Dirac notation before transitioning to the quantum mechanical context. We summarize the development and validation of the QuILT and findings from the inclass evaluation.
Physics Education Research Conference 2020
Part of the PER Conference series Virtual Conference: July 22-23, 2020 Pages 309-314
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Record Link
<a href="https://www.compadre.org/portal/items/detail.cfm?ID=15501">Marshman, Emily, and Chandralekha Singh. "Improving student understanding of Dirac notation by using analogical reasoning in the context of a three-dimensional vector space." Paper presented at the Physics Education Research Conference 2020, Virtual Conference, July 22-23, 2020.</a>
AIP Format
E. Marshman and C. Singh, , presented at the Physics Education Research Conference 2020, Virtual Conference, 2020, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15501&DocID=5349).
AJP/PRST-PER
E. Marshman and C. Singh, Improving student understanding of Dirac notation by using analogical reasoning in the context of a three-dimensional vector space, presented at the Physics Education Research Conference 2020, Virtual Conference, 2020, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15501&DocID=5349>.
APA Format
Marshman, E., & Singh, C. (2020, July 22-23). Improving student understanding of Dirac notation by using analogical reasoning in the context of a three-dimensional vector space. Paper presented at Physics Education Research Conference 2020, Virtual Conference. Retrieved April 19, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15501&DocID=5349
Chicago Format
Marshman, Emily, and Chandralekha Singh. "Improving student understanding of Dirac notation by using analogical reasoning in the context of a three-dimensional vector space." Paper presented at the Physics Education Research Conference 2020, Virtual Conference, July 22-23, 2020. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15501&DocID=5349 (accessed 19 April 2024).
MLA Format
Marshman, Emily, and Chandralekha Singh. "Improving student understanding of Dirac notation by using analogical reasoning in the context of a three-dimensional vector space." Physics Education Research Conference 2020. Virtual Conference: 2020. 309-314 of PER Conference. 19 Apr. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15501&DocID=5349>.
BibTeX Export Format
@inproceedings{
Author = "Emily Marshman and Chandralekha Singh",
Title = {Improving student understanding of Dirac notation by using analogical reasoning in the context of a three-dimensional vector space},
BookTitle = {Physics Education Research Conference 2020},
Pages = {309-314},
Address = {Virtual Conference},
Series = {PER Conference},
Month = {July 22-23},
Year = {2020}
}
Refer Export Format
%A Emily Marshman %A Chandralekha Singh %T Improving student understanding of Dirac notation by using analogical reasoning in the context of a three-dimensional vector space %S PER Conference %D July 22-23 2020 %P 309-314 %C Virtual Conference %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15501&DocID=5349 %O Physics Education Research Conference 2020 %O July 22-23 %O application/pdf
EndNote Export Format
%0 Conference Proceedings %A Marshman, Emily %A Singh, Chandralekha %D July 22-23 2020 %T Improving student understanding of Dirac notation by using analogical reasoning in the context of a three-dimensional vector space %B Physics Education Research Conference 2020 %C Virtual Conference %P 309-314 %S PER Conference %8 July 22-23 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=15501&DocID=5349 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 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. Improving student understanding of Dirac notation by using analogical reasoning in the context of a three-dimensional vector space:Know of another related resource? Login to relate this resource to it. |
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