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written by Genaro Zavala and Pablo Barniol
In this article we investigate students' understanding of dot product as a projection. In the first part, we compare students' performance in three isomorphic multiple-choice problems: no-context, work and electric flux. We administered one of the three problems to 422 students who were in the process of completing required introductory physics courses. In the second part, we analyze the students' ability to connect the physical concepts with the dot product's formal representation. We carried out interviews with 14 students, in which they were asked to solve the same three isomorphic problems. Following the tests, we found a difference that was statistically significant: both physical context problems helped students select the projection interpretation option. However, the percentages of students that selected this option remained very low in the three problems. Moreover, during the interviews we noticed that students had serious difficulties in developing a coherent conceptual framework between the physical concepts and the dot product's formal representation.
Physics Education Research Conference 2012
Part of the PER Conference series
Philadelphia, PA: August 1-2, 2012
Volume 1513, Pages 438-441
Subjects ADS Supplements Resource Types
Education Foundations
- Alternative Conceptions
- Problem Solving
= Representational Use
Mathematical Tools
- Vector Algebra
= Dot Product
- Reference Material
= Research study
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Mirror:
http://dx.doi.org/10.1063/1.4789746
Access Rights:
Free access and
Available for purchase
A preprint of the work is available. A hard copy of the PERC 2012 proceedings is available for purchase from the AIP.
Restriction:
© 2012 American Institute of Physics
DOI:
10.1063/1.4789746
PACS:
01.40.Fk
TdM Grant No.:
CAT140
Keywords:
PERC 2012, dot product, dot product, electric flux, misconceptions, projection, work
Record Cloner:
Metadata instance created May 16, 2013 by Zachary Davis
Record Updated:
December 17, 2013 by Lyle Barbato
Last Update
when Cataloged:
January 24, 2013
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Record Link
AIP Format
G. Zavala and P. Barniol, presented at the Physics Education Research Conference 2012, Philadelphia, PA, 2012, WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12746&DocID=3287).
AJP/PRST-PER
G. Zavala and P. Barniol, Students’ understanding of dot product as a projection in no-context, work and electric flux problems, presented at the Physics Education Research Conference 2012, Philadelphia, PA, 2012, <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12746&DocID=3287>.
APA Format
Zavala, G., & Barniol, P. (2012, August 1-2). Students’ understanding of dot product as a projection in no-context, work and electric flux problems. Paper presented at Physics Education Research Conference 2012, Philadelphia, PA. Retrieved October 21, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12746&DocID=3287
Chicago Format
Zavala, Genaro, and Pablo Barniol. "Students’ understanding of dot product as a projection in no-context, work and electric flux problems." Paper presented at the Physics Education Research Conference 2012, Philadelphia, PA, August 1-2, 2012. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12746&DocID=3287 (accessed 21 October 2014).
MLA Format
Zavala, Genaro, and Pablo Barniol. "Students’ understanding of dot product as a projection in no-context, work and electric flux problems." Physics Education Research Conference 2012. Philadelphia, PA: 2012. 438-441 Vol. 1513 of PER Conference. 21 Oct. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12746&DocID=3287>.
BibTeX Export Format
@inproceedings{ Author = "Genaro Zavala and Pablo Barniol", Title = {Students’ understanding of dot product as a projection in no-context, work and electric flux problems}, BookTitle = {Physics Education Research Conference 2012}, Pages = {438-441}, Address = {Philadelphia, PA}, Series = {PER Conference}, Volume = {1513}, Month = {August 1-2}, Year = {2012} }
Refer Export Format

%A Genaro Zavala
%A Pablo Barniol
%T Students' understanding of dot product as a projection in no-context, work and electric flux problems
%S PER Conference
%V 1513
%D August 1-2 2012
%P 438-441
%C Philadelphia, PA
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12746&DocID=3287
%O Physics Education Research Conference 2012
%O August 1-2
%O application/pdf

EndNote Export Format

%0 Conference Proceedings
%A Zavala, Genaro
%A Barniol, Pablo
%D August 1-2 2012
%T Students' understanding of dot product as a projection in no-context, work and electric flux problems
%B Physics Education Research Conference 2012
%C Philadelphia, PA
%V 1513
%P 438-441
%S PER Conference
%8 August 1-2
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12746&DocID=3287


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