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written by Joshua 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
Subjects Levels Resource Types
Classical Mechanics
- Motion in One Dimension
- Work and Energy
= Work
Education - Basic Research
- Cognition
- Problem Solving
= Representational Use
Mathematical Tools
- Calculus
= Integral
- Lower Undergraduate
- Reference Material
= Research study
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- Researchers
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Format:
application/pdf
Mirror:
http://dx.doi.org/10.1119/perc.20…
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.2013.pr.076
NSF Number:
0816207
PACS:
01.40.Fk
Keywords:
PERC 2013, epistemology, integration, mathematics, problem solving
Record Cloner:
Metadata instance created January 31, 2014 by Lyle Barbato
Record Updated:
February 1, 2014 by Bruce Mason
Last Update
when Cataloged:
December 16, 2013
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Record Link
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, (http://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, <http://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 October 1, 2014, from http://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. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13151&DocID=3698 (accessed 1 October 2014).
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. 1 Oct. 2014 <http://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} }
Refer Export Format

%A Joshua Von Korff
%A Andrew Elby
%A Dehui Hu
%A N. Sanjay Rebello
%T Student Epistemology About Mathematical Integration In A Physics Context: A Case Study
%S PER Conference
%D July 17-18 2013
%P 353-356
%C Portland, OR
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13151&DocID=3698
%O Physics Education Research Conference 2013
%O July 17-18
%O application/pdf

EndNote Export Format

%0 Conference Proceedings
%A Von Korff, Joshua
%A Elby, Andrew
%A Hu, Dehui
%A Rebello, N. Sanjay
%D July 17-18 2013
%T Student Epistemology About Mathematical Integration In A Physics Context: A Case Study
%B Physics Education Research Conference 2013
%C Portland, OR
%P 353-356
%S PER Conference
%8 July 17-18
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=13151&DocID=3698


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