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Characterizing analytical and computational mathematics use during PhD research
written by
Benjamin M. Zwickl, Kingston Chen, Joshua Deslongchamps, Anne E. Leak, and Kelly Norris Martin
As physics departments increasingly emphasize computational training within the physics curriculum, there is a need for educators to have guiding principles for deciding how and when to use computational approaches over analytical math and vice versa. We investigated the use of analytical and computational mathematics in professional practice by conducting ten semi-structured interviews with PhD students in the physical sciences. The interviews revealed context-rich situations where computational and analytical math were valued and used. Through an emergent and thematic coding process, key contextual features were distilled. Although analytical math was valued as a calculational tool (e.g., manipulating equations), the most prevalent use of analytical math was to develop a preliminary understanding of a problem, which included modeling systems through equations, developing simplified "toy models", understanding background concepts, and understanding how varying parameters affected system behavior. Computational tools had a complementary role of data analysis, complex numerical simulations, and visualization.
Physics Education Research Conference 2017
Part of the PER Conference series Cincinnati, OH: July 26-27, 2017 Pages 476-479
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Record Link
<a href="https://www.per-central.org/items/detail.cfm?ID=14674">Zwickl, B, K. Chen, J. Deslongchamps, A. Leak, and K. Martin. "Characterizing analytical and computational mathematics use during PhD research." Paper presented at the Physics Education Research Conference 2017, Cincinnati, OH, July 26-27, 2017.</a>
AIP Format
B. Zwickl, K. Chen, J. Deslongchamps, A. Leak, and K. Martin, , presented at the Physics Education Research Conference 2017, Cincinnati, OH, 2017, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14674&DocID=4851).
AJP/PRST-PER
B. Zwickl, K. Chen, J. Deslongchamps, A. Leak, and K. Martin, Characterizing analytical and computational mathematics use during PhD research, presented at the Physics Education Research Conference 2017, Cincinnati, OH, 2017, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14674&DocID=4851>.
APA Format
Zwickl, B., Chen, K., Deslongchamps, J., Leak, A., & Martin, K. (2017, July 26-27). Characterizing analytical and computational mathematics use during PhD research. Paper presented at Physics Education Research Conference 2017, Cincinnati, OH. Retrieved October 12, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14674&DocID=4851
Chicago Format
Zwickl, B, K. Chen, J. Deslongchamps, A. Leak, and K. Martin. "Characterizing analytical and computational mathematics use during PhD research." Paper presented at the Physics Education Research Conference 2017, Cincinnati, OH, July 26-27, 2017. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14674&DocID=4851 (accessed 12 October 2024).
MLA Format
Zwickl, Benjamin, Kingston Chen, Joshua Deslongchamps, Anne E. Leak, and Kelly Norris Martin. "Characterizing analytical and computational mathematics use during PhD research." Physics Education Research Conference 2017. Cincinnati, OH: 2017. 476-479 of PER Conference. 12 Oct. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14674&DocID=4851>.
BibTeX Export Format
@inproceedings{
Author = "Benjamin Zwickl and Kingston Chen and Joshua Deslongchamps and Anne E. Leak and Kelly Norris Martin",
Title = {Characterizing analytical and computational mathematics use during PhD research},
BookTitle = {Physics Education Research Conference 2017},
Pages = {476-479},
Address = {Cincinnati, OH},
Series = {PER Conference},
Month = {July 26-27},
Year = {2017}
}
Refer Export Format
%A Benjamin Zwickl %A Kingston Chen %A Joshua Deslongchamps %A Anne E. Leak %A Kelly Norris Martin %T Characterizing analytical and computational mathematics use during PhD research %S PER Conference %D July 26-27 2017 %P 476-479 %C Cincinnati, OH %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14674&DocID=4851 %O Physics Education Research Conference 2017 %O July 26-27 %O application/pdf
EndNote Export Format
%0 Conference Proceedings %A Zwickl, Benjamin %A Chen, Kingston %A Deslongchamps, Joshua %A Leak, Anne E. %A Martin, Kelly Norris %D July 26-27 2017 %T Characterizing analytical and computational mathematics use during PhD research %B Physics Education Research Conference 2017 %C Cincinnati, OH %P 476-479 %S PER Conference %8 July 26-27 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14674&DocID=4851 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 AJP/PRST-PER presented is based on the AIP Style with the addition of journal article titles and conference proceeding article titles. 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. Characterizing analytical and computational mathematics use during PhD research:Know of another related resource? Login to relate this resource to it. |
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