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Student Interpretation of Coefficients in Fourier Series
written by Mikayla Mays and Michael E. Loverude
As part of ongoing research in student use of math in upper-division physics, we examine student understanding of Fourier analysis. Fourier series are used in a variety of physics contexts and provide the first example of non-Euclidian vector spaces for many students. This study extends previous work in which we highlighted the procedural and conceptual difficulties students have when thinking about Fourier series. Using the concept image framework, as described by Tall and Vinner, we probe how students think about the constant coefficient in front of the Fourier series representation of a function and what it means when graphing the series. We also investigate whether students use the odd or even properties of a function to eliminate terms in the Fourier series. Data were collected at a large four-year university, including nine years of written data from an intermediate-level Math Methods course as well as several interviews.
Physics Education Research Conference 2018
Part of the PER Conference series
Washington, DC: August 1-2, 2018
Subjects Levels Resource Types
Education - Basic Research
- Cognition
Mathematical Tools
- Series and Functions
= Fourier Series
- Upper Undergraduate
- Reference Material
= Research study
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- PER Literature
- Researchers
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Format:
application/pdf
Mirror:
https://doi.org/10.1119/perc.2018…
Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution 3.0 license. Further distribution of this work must maintain attribution to the published article's author(s), title, proceedings citation, and DOI.
Rights Holder:
American Association of Physics Teachers
DOI:
10.1119/perc.2018.pr.Mays
NSF Number:
1406035
Keyword:
PERC 2018
Record Creator:
Metadata instance created December 31, 2018 by Lyle Barbato
Record Updated:
December 31, 2018 by Lyle Barbato
Last Update
when Cataloged:
December 31, 2018
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Record Link
AIP Format
M. Mays and M. Loverude, presented at the Physics Education Research Conference 2018, Washington, DC, 2018, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14823&DocID=4970).
AJP/PRST-PER
M. Mays and M. Loverude, Student Interpretation of Coefficients in Fourier Series, presented at the Physics Education Research Conference 2018, Washington, DC, 2018, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14823&DocID=4970>.
APA Format
Mays, M., & Loverude, M. (2018, August 1-2). Student Interpretation of Coefficients in Fourier Series. Paper presented at Physics Education Research Conference 2018, Washington, DC. Retrieved March 3, 2021, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14823&DocID=4970
Chicago Format
Mays, Mikayla, and Michael Loverude. "Student Interpretation of Coefficients in Fourier Series." Paper presented at the Physics Education Research Conference 2018, Washington, DC, August 1-2, 2018. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14823&DocID=4970 (accessed 3 March 2021).
MLA Format
Mays, Mikayla, and Michael Loverude. "Student Interpretation of Coefficients in Fourier Series." Physics Education Research Conference 2018. Washington, DC: 2018. of PER Conference. 3 Mar. 2021 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14823&DocID=4970>.
BibTeX Export Format
@inproceedings{ Author = "Mikayla Mays and Michael Loverude", Title = {Student Interpretation of Coefficients in Fourier Series}, BookTitle = {Physics Education Research Conference 2018}, Address = {Washington, DC}, Series = {PER Conference}, Month = {August 1-2}, Year = {2018} }
Refer Export Format

%A Mikayla Mays
%A Michael Loverude
%T Student Interpretation of Coefficients in Fourier Series
%S PER Conference
%D August 1-2 2018
%C Washington, DC
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14823&DocID=4970
%O Physics Education Research Conference 2018
%O August 1-2
%O application/pdf

EndNote Export Format

%0 Conference Proceedings
%A Mays, Mikayla
%A Loverude, Michael
%D August 1-2 2018
%T Student Interpretation of Coefficients in Fourier Series
%B Physics Education Research Conference 2018
%C Washington, DC
%S PER Conference
%8 August 1-2
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14823&DocID=4970


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