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Physical Review Special Topics - Physics Education Research
Teaching integration with layers and representations: A case study
written by Joshua S. Von Korff and N. Sanjay Rebello
We designed a sequence of seven lessons to facilitate learning of integration in a physics context. We implemented this sequence with a single college sophomore, "Amber," who was concurrently enrolled in a first-semester calculus-based introductory physics course which covered topics in mechanics. We outline the philosophy underpinning these lessons, which characterizes integration in terms of layers and representations. We describe how Amber learned to give oral presentations in which she told a story about how integration comes from products, sums, and limits in a variety of physics contexts. We conclude that by the end of our lessons, Amber was able to conceptualize and explain integrals using multiple representations. In one case, she was able to solve a novel problem about integration in an unfamiliar context (center of mass.) Based on our previous research about integration, we suggest that these achievements would have been unattainable with the use of a single one or two hour lesson.
Subjects Levels Resource Types
Education - Applied Research
- Active Learning
= Problem Solving
- Instructional Material Design
= Tutorial
Education - Basic Research
- Problem Solving
= Representational Use
Mathematical Tools
- Calculus
- Lower Undergraduate
- Graduate/Professional
- Instructional Material
= Case Study
- Reference Material
= Research study
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Formats:
application/pdf
text/html
Mirror:
http://dx.doi.org/10.1103/PhysRev…
Access Rights:
Free access
License:
This material is released under a Creative Commons Attribution 3.0 license.
Rights Holder:
American Physical Society
DOI:
10.1103/PhysRevSTPER.8.010125
NSF Number:
0816207
PACSs:
01.40.Fk
01.40.G-
Keywords:
Case Study, Integration, Representations
Record Creator:
Metadata instance created May 20, 2012 by Lyle Barbato
Record Updated:
May 21, 2012 by Vince Kuo
Last Update
when Cataloged:
May 18, 2012
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Record Link
AIP Format
J. Von Korff and N. Rebello, Phys. Rev. ST Phys. Educ. Res. 8 (1), 010125 (2012), WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12012&DocID=2842).
AJP/PRST-PER
J. Von Korff and N. Rebello, Teaching integration with layers and representations: A case study, Phys. Rev. ST Phys. Educ. Res. 8 (1), 010125 (2012), <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12012&DocID=2842>.
APA Format
Von Korff, J., & Rebello, N. (2012, May 18). Teaching integration with layers and representations: A case study. Phys. Rev. ST Phys. Educ. Res., 8(1), 010125. Retrieved October 14, 2019, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12012&DocID=2842
Chicago Format
Von Korff, Joshua, and N. Sanjay Rebello. "Teaching integration with layers and representations: A case study." Phys. Rev. ST Phys. Educ. Res. 8, no. 1, (May 18, 2012): 010125, https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12012&DocID=2842 (accessed 14 October 2019).
MLA Format
Von Korff, Joshua, and N. Sanjay Rebello. "Teaching integration with layers and representations: A case study." Phys. Rev. ST Phys. Educ. Res. 8.1 (2012): 010125. 14 Oct. 2019 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12012&DocID=2842>.
BibTeX Export Format
@article{ Author = "Joshua Von Korff and N. Sanjay Rebello", Title = {Teaching integration with layers and representations: A case study}, Journal = {Phys. Rev. ST Phys. Educ. Res.}, Volume = {8}, Number = {1}, Pages = {010125}, Month = {May}, Year = {2012} }
Refer Export Format

%A Joshua Von Korff
%A N. Sanjay Rebello
%T Teaching integration with layers and representations: A case study
%J Phys. Rev. ST Phys. Educ. Res.
%V 8
%N 1
%D May 18, 2012
%P 010125
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12012&DocID=2842
%O application/pdf

EndNote Export Format

%0 Journal Article
%A Von Korff, Joshua
%A Rebello, N. Sanjay
%D May 18, 2012
%T Teaching integration with layers and representations: A case study
%J Phys. Rev. ST Phys. Educ. Res.
%V 8
%N 1
%P 010125
%8 May 18, 2012
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12012&DocID=2842


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