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Vector Addition: Effect of the Context and Position of the Vectors
written by Pablo Barniol and Genaro Zavala
In this article we investigate the effect of: 1) the context, and 2) the position of the vectors, on 2D vector addition tasks. We administered a test to 512 students completing introductory physics courses at a private Mexican university. In the first part, we analyze students' responses in three isomorphic problems: displacements, forces, and no physical context. Students were asked to draw two vectors and the vector sum. We analyzed students' procedures detecting the difficulties when drawing the vector addition and proved that the context matters, not only compared to the context-free case but also between the contexts. In the second part, we analyze students' responses with three different arrangements of the sum of two vectors: tail-to-tail, head-to-tail and separated vectors. We compared the frequencies of the errors in the three different positions to deduce students' conceptions in the addition of vectors.
Physics Education Research Conference 2010
Part of the PER Conference series
Portland, Oregon: July 21-22, 2010
Volume 1289, Pages 73-76
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Education Foundations
- Assessment
- Learning Theory
Mathematical Tools
- Vector Algebra
- Lower Undergraduate
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Mirror:
https://doi.org/10.1063/1.3515252
Access Rights:
Limited free access and
Available for purchase
A preprint of the work is available. A hard copy of the PERC 2010 proceedings is available for purchase from the AIP.
Restriction:
© 2010 American Institute of Physics
DOI:
10.1063/1.3515252
NSF Number:
0837058
PACS:
01.40.Fk
Keywords:
PERC 2010, graphical vector addition, isomorphic problems, vector addition, vector arrangements
Record Cloner:
Metadata instance created October 8, 2010 by Alea Smith
Record Updated:
May 1, 2013 by Lyle Barbato
Last Update
when Cataloged:
August 24, 2010
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AIP Format
P. Barniol and G. Zavala, , presented at the Physics Education Research Conference 2010, Portland, Oregon, 2010, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10388&DocID=1860).
AJP/PRST-PER
P. Barniol and G. Zavala, Vector Addition: Effect of the Context and Position of the Vectors, presented at the Physics Education Research Conference 2010, Portland, Oregon, 2010, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10388&DocID=1860>.
APA Format
Barniol, P., & Zavala, G. (2010, July 21-22). Vector Addition: Effect of the Context and Position of the Vectors. Paper presented at Physics Education Research Conference 2010, Portland, Oregon. Retrieved December 5, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10388&DocID=1860
Chicago Format
Barniol, Pablo, and Genaro Zavala. "Vector Addition: Effect of the Context and Position of the Vectors." Paper presented at the Physics Education Research Conference 2010, Portland, Oregon, July 21-22, 2010. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10388&DocID=1860 (accessed 5 December 2024).
MLA Format
Barniol, Pablo, and Genaro Zavala. "Vector Addition: Effect of the Context and Position of the Vectors." Physics Education Research Conference 2010. Portland, Oregon: 2010. 73-76 Vol. 1289 of PER Conference. 5 Dec. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10388&DocID=1860>.
BibTeX Export Format
@inproceedings{ Author = "Pablo Barniol and Genaro Zavala", Title = {Vector Addition: Effect of the Context and Position of the Vectors}, BookTitle = {Physics Education Research Conference 2010}, Pages = {73-76}, Address = {Portland, Oregon}, Series = {PER Conference}, Volume = {1289}, Month = {July 21-22}, Year = {2010} }
Refer Export Format

%A Pablo Barniol %A Genaro Zavala %T Vector Addition: Effect of the Context and Position of the Vectors %S PER Conference %V 1289 %D July 21-22 2010 %P 73-76 %C Portland, Oregon %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10388&DocID=1860 %O Physics Education Research Conference 2010 %O July 21-22 %O application/pdf

EndNote Export Format

%0 Conference Proceedings %A Barniol, Pablo %A Zavala, Genaro %D July 21-22 2010 %T Vector Addition: Effect of the Context and Position of the Vectors %B Physics Education Research Conference 2010 %C Portland, Oregon %V 1289 %P 73-76 %S PER Conference %8 July 21-22 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=10388&DocID=1860


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