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Emily M. Smith, Justyna P. Zwolak, and Corinne A. Manogue
Mathematical reasoning with algebraic and geometric representations is essential for success in upper-division and graduate-level physics courses. Complex algebra requires student to fluently move between algebraic and geometric representations. By designing a task for middle-division physics students to translate a geometric representation to several algebraic representations, we identified students' facilities and difficulties with complex number algebra. Students were successful when they isolated approaches, which was characterized by students' use of circle trigonometry, triangle trigonometry, the Pythagorean theorem, and the square of the norm approaches. When students were not successful, they inappropriately mixed approaches to the problem, including failing to distinguish between triangle and circle trigonometry.
Physical Review Physics Education Research: Volume 15, Issue 1, Pages 010138
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<a href="https://www.compadre.org/portal/items/detail.cfm?ID=15157">Smith, E, J. Zwolak, and C. Manogue. "Isolating approaches: How middle-division physics students coordinate forms and representations in complex algebra." Phys. Rev. Phys. Educ. Res. 15, no. 1, (June 10, 2019): 010138.</a>
AIP Format
E. Smith, J. Zwolak, and C. Manogue, , Phys. Rev. Phys. Educ. Res. 15 (1), 010138 (2019), WWW Document, (https://doi.org/10.1103/PhysRevPhysEducRes.15.010138).
AJP/PRST-PER
E. Smith, J. Zwolak, and C. Manogue, Isolating approaches: How middle-division physics students coordinate forms and representations in complex algebra, Phys. Rev. Phys. Educ. Res. 15 (1), 010138 (2019), <https://doi.org/10.1103/PhysRevPhysEducRes.15.010138>.
APA Format
Smith, E., Zwolak, J., & Manogue, C. (2019, June 10). Isolating approaches: How middle-division physics students coordinate forms and representations in complex algebra. Phys. Rev. Phys. Educ. Res., 15(1), 010138. Retrieved June 16, 2024, from https://doi.org/10.1103/PhysRevPhysEducRes.15.010138
Chicago Format
Smith, E, J. Zwolak, and C. Manogue. "Isolating approaches: How middle-division physics students coordinate forms and representations in complex algebra." Phys. Rev. Phys. Educ. Res. 15, no. 1, (June 10, 2019): 010138, https://doi.org/10.1103/PhysRevPhysEducRes.15.010138 (accessed 16 June 2024).
MLA Format
Smith, Emily M., Justyna Zwolak, and Corinne Manogue. "Isolating approaches: How middle-division physics students coordinate forms and representations in complex algebra." Phys. Rev. Phys. Educ. Res. 15.1 (2019): 010138. 16 June 2024 <https://doi.org/10.1103/PhysRevPhysEducRes.15.010138>.
BibTeX Export Format
@article{
Author = "Emily M. Smith and Justyna Zwolak and Corinne Manogue",
Title = {Isolating approaches: How middle-division physics students coordinate forms and representations in complex algebra},
Journal = {Phys. Rev. Phys. Educ. Res.},
Volume = {15},
Number = {1},
Pages = {010138},
Month = {June},
Year = {2019}
}
Refer Export Format
%A Emily M. Smith %A Justyna Zwolak %A Corinne Manogue %T Isolating approaches: How middle-division physics students coordinate forms and representations in complex algebra %J Phys. Rev. Phys. Educ. Res. %V 15 %N 1 %D June 10, 2019 %P 010138 %U https://doi.org/10.1103/PhysRevPhysEducRes.15.010138 %O application/pdf
EndNote Export Format
%0 Journal Article %A Smith, Emily M. %A Zwolak, Justyna %A Manogue, Corinne %D June 10, 2019 %T Isolating approaches: How middle-division physics students coordinate forms and representations in complex algebra %J Phys. Rev. Phys. Educ. Res. %V 15 %N 1 %P 010138 %8 June 10, 2019 %U https://doi.org/10.1103/PhysRevPhysEducRes.15.010138 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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