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Algebra-Based Students and Vector Representations: Arrow vs. ijk
written by John B. Buncher
A recent study in a calculus-based introductory physics course found that students performed significantly better on vector addition and subtraction tasks when questions were given in the ijk representation instead of an ``arrows-on-a-grid'' representation.  This study also presented evidence that working knowledge of the ijk format was necessary to correctly perform vector operations in the arrow format, which has instructional implications for algebra-based introductory physics, as many associated courses and texts extensively use the arrow format and neglect the ijk format.  We conducted a study of students in an algebra-based introductory physics course where students were given no explicit instruction on the ijk format, but had received instruction on the arrow format.  We find that at the end of the semester algebra-based introductory physics students perform significantly higher in the ijk representation than in the arrow representation on both one- and two-dimensional problems.  Our findings imply that these students may also benefit from the use of ijk in class or as part of instruction.
Physics Education Research Conference 2015
Part of the PER Conference series
College Park, MD: July 29-30, 2015
Pages 75-78
Subjects Levels Resource Types
Education Foundations
- Learning Theory
= Representations
- Problem Solving
= Representational Use
Mathematical Tools
- Vector Algebra
= Vector Addition
- Lower Undergraduate
- Reference Material
= Research study
Intended Users Formats Ratings
- Researchers
- application/pdf
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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.2015.pr.014
PACSs:
01.40.Fk
01.40.gb
Keywords:
PERC 2015, algebra-based, arrow representation, introductory physics, vectors
Record Creator:
Metadata instance created December 16, 2015 by Lyle Barbato
Record Updated:
December 17, 2015 by Lyle Barbato
Last Update
when Cataloged:
December 18, 2015
Other Collections:

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Record Link
AIP Format
J. Buncher, presented at the Physics Education Research Conference 2015, College Park, MD, 2015, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13841&DocID=4259).
AJP/PRST-PER
J. Buncher, Algebra-Based Students and Vector Representations: Arrow vs. ijk, presented at the Physics Education Research Conference 2015, College Park, MD, 2015, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13841&DocID=4259>.
APA Format
Buncher, J. (2015, July 29-30). Algebra-Based Students and Vector Representations: Arrow vs. ijk. Paper presented at Physics Education Research Conference 2015, College Park, MD. Retrieved December 18, 2017, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13841&DocID=4259
Chicago Format
Buncher, John. "Algebra-Based Students and Vector Representations: Arrow vs. ijk." Paper presented at the Physics Education Research Conference 2015, College Park, MD, July 29-30, 2015. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13841&DocID=4259 (accessed 18 December 2017).
MLA Format
Buncher, John. "Algebra-Based Students and Vector Representations: Arrow vs. ijk." Physics Education Research Conference 2015. College Park, MD: 2015. 75-78 of PER Conference. 18 Dec. 2017 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13841&DocID=4259>.
BibTeX Export Format
@inproceedings{ Author = "John Buncher", Title = {Algebra-Based Students and Vector Representations: Arrow vs. ijk}, BookTitle = {Physics Education Research Conference 2015}, Pages = {75-78}, Address = {College Park, MD}, Series = {PER Conference}, Month = {July 29-30}, Year = {2015} }
Refer Export Format

%A John Buncher
%T Algebra-Based Students and Vector Representations: Arrow vs. ijk
%S PER Conference
%D July 29-30 2015
%P 75-78
%C College Park, MD
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13841&DocID=4259
%O Physics Education Research Conference 2015
%O July 29-30
%O application/pdf

EndNote Export Format

%0 Conference Proceedings
%A Buncher, John
%D July 29-30 2015
%T Algebra-Based Students and Vector Representations: Arrow vs. ijk
%B Physics Education Research Conference 2015
%C College Park, MD
%P 75-78
%S PER Conference
%8 July 29-30
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13841&DocID=4259


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