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Algebra-Based Students & Vectors: Can ijk Coaching Improve Arrow Subtraction?
written by John B. Buncher
Students in calculus- and algebra-based introductory physics courses have been shown to perform significantly better on vector addition and subtraction using ijk representation than identical tasks using an "arrows-on-a-grid" representation. Evidence supporting a knowledge hierarchy has been observed, with the ability to correctly solve ijk format questions necessary to correctly solving arrow format questions. The absence of explicit ijk instruction in typical algebra-based courses may exacerbate difficulties experienced by all physics students with vector addition and subtraction in the arrow representation in the algebra-based population. In this study we investigate to what degree instruction in the ijk format improves vector subtraction skills in the arrow format. The instruction was a one-time online intervention with feedback given to students in an algebra-based introductory physics course. While neither intervention produced gains that were statistically significant, we find evidence that students who performed well on the intervention questions perform better on a posttest question when controlling for pretest scores.
Physics Education Research Conference 2018
Part of the PER Conference series
Washington, DC: August 1-2, 2018
Subjects Levels Resource Types
Education - Basic Research
- Cognition
= Cognition Development
- Learning Theory
= Representations
- Problem Solving
= Representational Use
Mathematical Tools
- Vector Algebra
= Vector Addition
- Lower Undergraduate
- Reference Material
= Research study
PER-Central Type Intended Users Ratings
- PER Literature
- Researchers
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Format:
application/pdf
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.2018.pr.Buncher
Keyword:
PERC 2018
Record Creator:
Metadata instance created December 31, 2018 by Lyle Barbato
Record Updated:
December 31, 2018 by Lyle Barbato
Last Update
when Cataloged:
December 31, 2018
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Record Link
AIP Format
J. Buncher, presented at the Physics Education Research Conference 2018, Washington, DC, 2018, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14764&DocID=4911).
AJP/PRST-PER
J. Buncher, Algebra-Based Students & Vectors: Can ijk Coaching Improve Arrow Subtraction?, presented at the Physics Education Research Conference 2018, Washington, DC, 2018, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14764&DocID=4911>.
APA Format
Buncher, J. (2018, August 1-2). Algebra-Based Students & Vectors: Can ijk Coaching Improve Arrow Subtraction?. Paper presented at Physics Education Research Conference 2018, Washington, DC. Retrieved July 5, 2020, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14764&DocID=4911
Chicago Format
Buncher, John. "Algebra-Based Students & Vectors: Can ijk Coaching Improve Arrow Subtraction?." Paper presented at the Physics Education Research Conference 2018, Washington, DC, August 1-2, 2018. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14764&DocID=4911 (accessed 5 July 2020).
MLA Format
Buncher, John. "Algebra-Based Students & Vectors: Can ijk Coaching Improve Arrow Subtraction?." Physics Education Research Conference 2018. Washington, DC: 2018. of PER Conference. 5 July 2020 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14764&DocID=4911>.
BibTeX Export Format
@inproceedings{ Author = "John Buncher", Title = {Algebra-Based Students & Vectors: Can ijk Coaching Improve Arrow Subtraction?}, BookTitle = {Physics Education Research Conference 2018}, Address = {Washington, DC}, Series = {PER Conference}, Month = {August 1-2}, Year = {2018} }
Refer Export Format

%A John Buncher
%T Algebra-Based Students & Vectors: Can ijk Coaching Improve Arrow Subtraction?
%S PER Conference
%D August 1-2 2018
%C Washington, DC
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14764&DocID=4911
%O Physics Education Research Conference 2018
%O August 1-2
%O application/pdf

EndNote Export Format

%0 Conference Proceedings
%A Buncher, John
%D August 1-2 2018
%T Algebra-Based Students & Vectors: Can ijk Coaching Improve Arrow Subtraction?
%B Physics Education Research Conference 2018
%C Washington, DC
%S PER Conference
%8 August 1-2
%U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=14764&DocID=4911


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Algebra-Based Students & Vectors: Can ijk Coaching Improve Arrow Subtraction?:


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