Student Epistemology About Mathematical Integration In A Physics Context: A Case Study
written by
Joshua S. Von Korff,
Andrew Elby,
Dehui Hu, and
N. Sanjay Rebello
During a sequence of interventions including a tutorial and a teaching interview, a student ("Bryce") showed evidence of understanding all the steps of Riemann-sum style reasoning about why displacement corresponds to the area under a velocity vs. time graph, which in turn corresponds to the integral of velocity over time. However, he does not view this reasoning as productive for explaining to someone why displacement corresponds to that area under the velocity vs. time curve. We argue that his view stems not primarily from conceptual or mathematical difficulties but from his epistemological stance toward learning integration. Although Bryce tries to mesh physical/conceptual reasoning and other pieces of mathematical formalism (such as simple equations), he views integration as something to be accepted and used. He therefore frames the Riemann sum reasoning as unneeded logical stepping stones rather than as a deeper explanation linking mathematical formalism to intuitive physical ideas.
Physics Education Research Conference 2013
Part of the PER Conference series Portland, OR: July 17-18, 2013 Pages 353-356
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Record Link
<a href="https://www.compadre.org/portal/items/detail.cfm?ID=13151">Von Korff, J, A. Elby, D. Hu, and N. Rebello. "Student Epistemology About Mathematical Integration In A Physics Context: A Case Study." Paper presented at the Physics Education Research Conference 2013, Portland, OR, July 17-18, 2013.</a>
AIP Format
J. Von Korff, A. Elby, D. Hu, and N. Rebello, presented at the Physics Education Research Conference 2013, Portland, OR, 2013, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13151&DocID=3698).
AJP/PRST-PER
J. Von Korff, A. Elby, D. Hu, and N. Rebello, Student Epistemology About Mathematical Integration In A Physics Context: A Case Study, presented at the Physics Education Research Conference 2013, Portland, OR, 2013, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13151&DocID=3698>.
APA Format
Von Korff, J., Elby, A., Hu, D., & Rebello, N. (2013, July 17-18). Student Epistemology About Mathematical Integration In A Physics Context: A Case Study. Paper presented at Physics Education Research Conference 2013, Portland, OR. Retrieved December 11, 2017, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13151&DocID=3698
Chicago Format
Von Korff, J, A. Elby, D. Hu, and N. Rebello. "Student Epistemology About Mathematical Integration In A Physics Context: A Case Study." Paper presented at the Physics Education Research Conference 2013, Portland, OR, July 17-18, 2013. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13151&DocID=3698 (accessed 11 December 2017).
MLA Format
Von Korff, Joshua, Andrew Elby, Dehui Hu, and N. Sanjay Rebello. "Student Epistemology About Mathematical Integration In A Physics Context: A Case Study." Physics Education Research Conference 2013. Portland, OR: 2013. 353-356 of PER Conference. 11 Dec. 2017 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13151&DocID=3698>.
BibTeX Export Format
@inproceedings{
Author = "Joshua Von Korff and Andrew Elby and Dehui Hu and N. Sanjay Rebello",
Title = {Student Epistemology About Mathematical Integration In A Physics Context: A Case Study},
BookTitle = {Physics Education Research Conference 2013},
Pages = {353-356},
Address = {Portland, OR},
Series = {PER Conference},
Month = {July 17-18},
Year = {2013}
}
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%A Joshua Von Korff
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