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In an effort to examine students' understanding about the structure of boundary conditions in upper-division courses, think-aloud interviews were conducted in the context of both quantum mechanics and electricity and magnetism. In the quantum mechanics task, students were presented with a standard potential step scenario. In the electricity and magnetism task, students were given a classical question about electromagnetic waves at the boundary of two media. The analysis of the interviews was guided by the use of a symbolic forms perspective. In this paper, we report the symbolic forms identified in students' work and provide examples of students' reasoning. Generally speaking, students were able to generate the correct symbolic templates while having difficulties with the underlying conceptual ideas. We also discuss instructional implications from this study.
Physical Review Physics Education Research: Volume 16, Issue 1, Pages 010122
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<a href="https://www.compadre.org/portal/items/detail.cfm?ID=15384">Ryan, Qing, and Benjamin P. Schermerhorn. "Students’ use of symbolic forms when constructing equations of boundary conditions." Phys. Rev. Phys. Educ. Res. 16, no. 1, (April 24, 2020): 010122.</a>
AIP Format
Q. Ryan and B. Schermerhorn, , Phys. Rev. Phys. Educ. Res. 16 (1), 010122 (2020), WWW Document, (https://doi.org/10.1103/PhysRevPhysEducRes.16.010122).
AJP/PRST-PER
Q. Ryan and B. Schermerhorn, Students’ use of symbolic forms when constructing equations of boundary conditions, Phys. Rev. Phys. Educ. Res. 16 (1), 010122 (2020), <https://doi.org/10.1103/PhysRevPhysEducRes.16.010122>.
APA Format
Ryan, Q., & Schermerhorn, B. (2020, April 24). Students’ use of symbolic forms when constructing equations of boundary conditions. Phys. Rev. Phys. Educ. Res., 16(1), 010122. Retrieved March 20, 2025, from https://doi.org/10.1103/PhysRevPhysEducRes.16.010122
Chicago Format
Ryan, Qing, and Benjamin P. Schermerhorn. "Students’ use of symbolic forms when constructing equations of boundary conditions." Phys. Rev. Phys. Educ. Res. 16, no. 1, (April 24, 2020): 010122, https://doi.org/10.1103/PhysRevPhysEducRes.16.010122 (accessed 20 March 2025).
MLA Format
Ryan, Qing, and Benjamin P. Schermerhorn. "Students’ use of symbolic forms when constructing equations of boundary conditions." Phys. Rev. Phys. Educ. Res. 16.1 (2020): 010122. 20 Mar. 2025 <https://doi.org/10.1103/PhysRevPhysEducRes.16.010122>.
BibTeX Export Format
@article{
Author = "Qing Ryan and Benjamin P. Schermerhorn",
Title = {Students’ use of symbolic forms when constructing equations of boundary conditions},
Journal = {Phys. Rev. Phys. Educ. Res.},
Volume = {16},
Number = {1},
Pages = {010122},
Month = {April},
Year = {2020}
}
Refer Export Format
%A Qing Ryan %A Benjamin P. Schermerhorn %T Students' use of symbolic forms when constructing equations of boundary conditions %J Phys. Rev. Phys. Educ. Res. %V 16 %N 1 %D April 24, 2020 %P 010122 %U https://doi.org/10.1103/PhysRevPhysEducRes.16.010122 %O application/pdf
EndNote Export Format
%0 Journal Article %A Ryan, Qing %A Schermerhorn, Benjamin P. %D April 24, 2020 %T Students' use of symbolic forms when constructing equations of boundary conditions %J Phys. Rev. Phys. Educ. Res. %V 16 %N 1 %P 010122 %8 April 24, 2020 %U https://doi.org/10.1103/PhysRevPhysEducRes.16.010122 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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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. |
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