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Students’ understanding of dot product as a projection in no-context, work and electric flux problems
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
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![]() <a href="https://www.per-central.org/items/detail.cfm?ID=12746">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.</a>
![]() G. Zavala and P. Barniol, , presented at the Physics Education Research Conference 2012, Philadelphia, PA, 2012, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12746&DocID=3287).
![]() 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, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12746&DocID=3287>.
![]() 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 January 17, 2025, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12746&DocID=3287
![]() 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. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12746&DocID=3287 (accessed 17 January 2025).
![]() 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. 17 Jan. 2025 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12746&DocID=3287>.
![]() @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}
}
![]() %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 https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12746&DocID=3287 %O Physics Education Research Conference 2012 %O August 1-2 %O application/pdf ![]() %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 https://www.compadre.org/Repository/document/ServeFile.cfm?ID=12746&DocID=3287 Disclaimer: ComPADRE offers citation styles as a guide only. We cannot offer interpretations about citations as this is an automated procedure. Please refer to the style manuals in the Citation Source Information area for clarifications.
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