The Cognitive Blending of Mathematics and Physics Knowledge

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written by Thomas J. Bing and Edward F. Redish

Numbers, variables, and equations are used differently in a physics class than in a pure mathematics class. In physics, these symbols not only obey formal mathematical rules but also carry physical ideas and relations. This paper focuses on modeling how this combination of physical and mathematical knowledge is constructed. The cognitive blending framework highlights both the different ways this combination can occur and the emergence of new insights and meaning that follows such a combination. After an introduction to the blending framework itself, several examples from undergraduate physics students' work are analyzed.

Physics Education Research Conference 2006
Part of the PER Conference Invited Paper series
Syracuse, New York: July 26-27, 2006
Volume 883, Pages 26-29

download 82kb .pdf
Published: January 30, 2007

Subjects	Levels	Resource Types
Education Foundations - Cognition - Learning Theory Education Practices - Pedagogy = Multidisciplinary	- Lower Undergraduate	- Reference Material = Research study

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Mirror:: https://doi.org/10.1063/1.2508683
Access Rights:: Available for purchase
Restriction:: © 2006 American Institute of Physics
DOI:: 10.1063/1.2508683
PACSs:: 01.40.Fk; 01.40.Ha
Keywords:: PERC 2006, cognitive blending, learning theory, mathematics
Record Creator:: Metadata instance created June 4, 2007 by Shawn Weatherford
Record Updated:: July 16, 2013 by Lyle Barbato
Last Update when Cataloged:: January 30, 2007
Other Collections:: The PER-Central

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Record Link

<a href="https://www.compadre.org/portal/items/detail.cfm?ID=5250">Bing, Thomas J., and Edward F. Redish. "The Cognitive Blending of Mathematics and Physics Knowledge." Paper presented at the Physics Education Research Conference 2006, Syracuse, New York, July 26-27, 2006.</a>

AIP Format

T. Bing and E. Redish, , presented at the Physics Education Research Conference 2006, Syracuse, New York, 2006, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=5250&DocID=2112).

AJP/PRST-PER

T. Bing and E. Redish, The Cognitive Blending of Mathematics and Physics Knowledge, presented at the Physics Education Research Conference 2006, Syracuse, New York, 2006, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=5250&DocID=2112>.

APA Format

Bing, T., & Redish, E. (2006, July 26-27). The Cognitive Blending of Mathematics and Physics Knowledge. Paper presented at Physics Education Research Conference 2006, Syracuse, New York. Retrieved May 4, 2025, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=5250&DocID=2112

Chicago Format

Bing, Thomas J., and Edward F. Redish. "The Cognitive Blending of Mathematics and Physics Knowledge." Paper presented at the Physics Education Research Conference 2006, Syracuse, New York, July 26-27, 2006. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=5250&DocID=2112 (accessed 4 May 2025).

MLA Format

Bing, Thomas J., and Edward F. Redish. "The Cognitive Blending of Mathematics and Physics Knowledge." Physics Education Research Conference 2006. Syracuse, New York: 2006. 26-29 Vol. 883 of PER Conference Invited Paper. 4 May 2025 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=5250&DocID=2112>.

BibTeX Export Format

@inproceedings{ Author = "Thomas J. Bing and Edward F. Redish", Title = {The Cognitive Blending of Mathematics and Physics Knowledge}, BookTitle = {Physics Education Research Conference 2006}, Pages = {26-29}, Address = {Syracuse, New York}, Series = {PER Conference Invited Paper}, Volume = {883}, Month = {July 26-27}, Year = {2006} }

Refer Export Format

%A Thomas J. Bing %A Edward F. Redish %T The Cognitive Blending of Mathematics and Physics Knowledge %S PER Conference Invited Paper %V 883 %D July 26-27 2006 %P 26-29 %C Syracuse, New York %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=5250&DocID=2112 %O Physics Education Research Conference 2006 %O July 26-27 %O application/pdf

EndNote Export Format

%0 Conference Proceedings %A Bing, Thomas J. %A Redish, Edward F. %D July 26-27 2006 %T The Cognitive Blending of Mathematics and Physics Knowledge %B Physics Education Research Conference 2006 %C Syracuse, New York %V 883 %P 26-29 %S PER Conference Invited Paper %8 July 26-27 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=5250&DocID=2112

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