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Drawing physical insight from mathematics via extreme case reasoning
written by Mark Eichenlaub, Deborah Hemingway, and Edward F. Redish
Students often get stuck in problem solving, ignoring their physical intuition in favor of plug-and-chug or pattern-matching approaches. We suggest that examining the extreme cases is a useful way of moving students towards more expert-like problem solving. Based on a case study, we show that novice students can quickly learn to use extreme cases productively in problem-solving. In reasoning about extreme cases, students blend conceptual and mathematical cognitive resources. At the same time, they can generate new and creative uses for extreme-case reasoning, here recasting it from a tool for evaluating answers to one for generating them. Extreme case reasoning may prove a valuable instructional goal at the introductory level.
Physics Education Research Conference 2016
Part of the PER Conference series
Sacramento, CA: July 20-21, 2016
Pages 108-111
Subjects Levels Resource Types
Education Foundations
- Problem Solving
Education Practices
- Instructional Material Design
= Problem/Question
- Pedagogy
- Upper Undergraduate
- Reference Material
= Research study
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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.2016.pr.022
NSF Number:
1504366
Keyword:
PERC 2016
Record Creator:
Metadata instance created November 30, 2016 by Lyle Barbato
Record Updated:
December 26, 2016 by Lyle Barbato
Last Update
when Cataloged:
December 29, 2016
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Record Link
AIP Format
M. Eichenlaub, D. Hemingway, and E. Redish, presented at the Physics Education Research Conference 2016, Sacramento, CA, 2016, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14206&DocID=4558).
AJP/PRST-PER
M. Eichenlaub, D. Hemingway, and E. Redish, Drawing physical insight from mathematics via extreme case reasoning, presented at the Physics Education Research Conference 2016, Sacramento, CA, 2016, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14206&DocID=4558>.
APA Format
Eichenlaub, M., Hemingway, D., & Redish, E. (2016, July 20-21). Drawing physical insight from mathematics via extreme case reasoning. Paper presented at Physics Education Research Conference 2016, Sacramento, CA. Retrieved December 12, 2017, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14206&DocID=4558
Chicago Format
Eichenlaub, M, D. Hemingway, and E. Redish. "Drawing physical insight from mathematics via extreme case reasoning." Paper presented at the Physics Education Research Conference 2016, Sacramento, CA, July 20-21, 2016. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14206&DocID=4558 (accessed 12 December 2017).
MLA Format
Eichenlaub, Mark, Deborah Hemingway, and Edward F. Redish. "Drawing physical insight from mathematics via extreme case reasoning." Physics Education Research Conference 2016. Sacramento, CA: 2016. 108-111 of PER Conference. 12 Dec. 2017 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14206&DocID=4558>.
BibTeX Export Format
@inproceedings{ Author = "Mark Eichenlaub and Deborah Hemingway and Edward F. Redish", Title = {Drawing physical insight from mathematics via extreme case reasoning}, BookTitle = {Physics Education Research Conference 2016}, Pages = {108-111}, Address = {Sacramento, CA}, Series = {PER Conference}, Month = {July 20-21}, Year = {2016} }
Refer Export Format

%A Mark Eichenlaub
%A Deborah Hemingway
%A Edward F. Redish
%T Drawing physical insight from mathematics via extreme case reasoning
%S PER Conference
%D July 20-21 2016
%P 108-111
%C Sacramento, CA
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14206&DocID=4558
%O Physics Education Research Conference 2016
%O July 20-21
%O application/pdf

EndNote Export Format

%0 Conference Proceedings
%A Eichenlaub, Mark
%A Hemingway, Deborah
%A Redish, Edward F.
%D July 20-21 2016
%T Drawing physical insight from mathematics via extreme case reasoning
%B Physics Education Research Conference 2016
%C Sacramento, CA
%P 108-111
%S PER Conference
%8 July 20-21
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14206&DocID=4558


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