## Journal Article Detail Page

Investigating graphical representations of slope and derivative without a physics context
written by
Warren M. Christensen and
John R. Thompson
By analysis of student use of mathematics in responses to conceptual physics questions, as well as analogous math questions stripped of physical meaning, we have previously found evidence that students often enter upper-level physics courses lacking the assumed prerequisite mathematics knowledge and/or the ability to apply it productively in a physics context. As an extension from this work on students' mathematical competency at the upper level in physics, we report on a preliminary investigation of mathematical understanding of fundamental concepts of slope and derivative among students in a third-semester multivariable calculus course. Among the first published findings of physics education research are investigations on students' understanding of kinematics, with particular attention to graphical representations of position-, velocity-, and acceleration-versus-time graphs. Underlying these physical quantities are relationships that depend on derivatives and slopes. We report on our findings as we attempt to isolate students' understanding of these mathematical concepts.
Physical Review Special Topics - Physics Education Research: Volume 8, Issue 2, Pages 023101
- Format:
- application/pdf
- Mirror:
- http://dx.doi.org/10.1103/PhysRev…
- Access Rights:
*Free access*- License:
- This material is released under a Creative Commons Attribution 3.0 license.
- Rights Holder:
- American Physical Society
- DOI:
- 10.1103/PhysRevSTPER.8.023101
- NSF Numbers:
- 0633951
- 0817282
- PACS:
- 01.40.-d
- Keywords:
- analogous questions, conceptual questions, graphical representations
- Record Creator:
- Metadata instance created August 10, 2012 by Lyle Barbato
- Record Updated:
- May 28, 2013 by Vince Kuo
- Last Update
when Cataloged: - July 26, 2012
Record Link
<a href="http://www.compadre.org/PER/items/detail.cfm?ID=12353">Christensen, Warren M., and John Thompson. "Investigating graphical representations of slope and derivative without a physics context."
Phys. Rev. ST Phys. Educ. Res. 8, no. 2, (July 26, 2012): 023101.</a>
AIP Format
W. Christensen and J. Thompson, Phys. Rev. ST Phys. Educ. Res.
8 (2), 023101 (2012), WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12353&DocID=3079).
AJP/PRST-PER
W. Christensen and J. Thompson, Investigating graphical representations of slope and derivative without a physics context, Phys. Rev. ST Phys. Educ. Res.
8 (2), 023101 (2012), <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12353&DocID=3079>.
APA Format
Christensen, W., & Thompson, J. (2012, July 26). Investigating graphical representations of slope and derivative without a physics context.
Phys. Rev. ST Phys. Educ. Res., 8(2), 023101. Retrieved June 28, 2016, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12353&DocID=3079
Chicago Format
Christensen, Warren M., and John Thompson. "Investigating graphical representations of slope and derivative without a physics context."
Phys. Rev. ST Phys. Educ. Res. 8, no. 2, (July 26, 2012): 023101, http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12353&DocID=3079 (accessed 28 June 2016).
MLA Format
Christensen, Warren M., and John Thompson. "Investigating graphical representations of slope and derivative without a physics context."
Phys. Rev. ST Phys. Educ. Res. 8.2 (2012): 023101. 28 June 2016 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=12353&DocID=3079>.
BibTeX Export Format
@article{
Author = "Warren M. Christensen and John Thompson",
Title = {Investigating graphical representations of slope and derivative without a physics context},
Journal = {Phys. Rev. ST Phys. Educ. Res.},
Volume = {8},
Number = {2},
Pages = {023101},
Month = {July},
Year = {2012}
}
Refer Export Format
%A Warren M. Christensen
EndNote Export Format
%0 Journal Article 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.Citation Source InformationThe AIP Style presented is based on information from the AIP Style Manual. The AJP/PRST-PER presented is based on the AIP Style with the addition of journal article titles and conference proceeding article titles. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. |
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