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Graphical representations of vector functions in upper-division E&M
written by Elizabeth Gire and Edward Price
In upper division electricity and magnetism, the manipulation and interpretation of vector functions is pervasive and a significant challenge to students. At CSU San Marcos, using in-class activities adapted from the Oregon State University Paradigms in Physics Curriculum, students' difficulties with vector functions become evident in two types of in-class activities: sketching vector functions and relating vector and scalar functions (e.g., electric field and electric potential). For many students, the cause of these difficulties is a failure to fully distinguish between the components of a vector function and its coordinate variables. To address this difficulty, we implement an additional in-class activity requiring students to translate between graphical and algebraic representations of vector functions. We present our experience with these issues, how to address them, and how in-class activities can provide evidence of student thinking that facilitates curricular refinement.
Physics Education Research Conference 2011
Part of the PER Conference Invited Paper series
Omaha, Nebraska: August 3-4, 2011
Volume 1413, Pages 27-30
Subjects Levels Resource Types
Education Foundations
- Problem Solving
= Representational Use
Education Practices
- Instructional Material Design
= Activity
Electricity & Magnetism
- Electric Fields and Potential
= Electric Field
= Electrostatic Potential and Potential Energy
Mathematical Tools
- Coordinate Systems
- Vector Algebra
- Upper Undergraduate
- Graduate/Professional
- Reference Material
= Article
Intended Users Formats Ratings
- Researchers
- application/pdf
- non-digital
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Mirror:
https://doi.org/10.1063/1.3679985
Access Rights:
Free access and
Available for purchase
A preprint of the work is available. A hard copy of the PERC 2011 proceedings is available for purchase from the AIP.
Restriction:
© 2011 American Institute of Physics
DOI:
10.1063/1.3679985
NSF Numbers:
0231194
0231032
0618877
1023120
PACSs:
01.40.Fk
01.40.gb
Keywords:
Electromagnetism, Graphical Representations, PERC 2011, Sense-making, Upper Division, Vector Functions
Record Cloner:
Metadata instance created April 23, 2012 by Lyle Barbato
Record Updated:
May 15, 2012 by Vince Kuo
Last Update
when Cataloged:
February 6, 2012
Other Collections:

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Record Link
AIP Format
E. Gire and E. Price, , presented at the Physics Education Research Conference 2011, Omaha, Nebraska, 2011, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11804&DocID=2654).
AJP/PRST-PER
E. Gire and E. Price, Graphical representations of vector functions in upper-division E&M, presented at the Physics Education Research Conference 2011, Omaha, Nebraska, 2011, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11804&DocID=2654>.
APA Format
Gire, E., & Price, E. (2011, August 3-4). Graphical representations of vector functions in upper-division E&M. Paper presented at Physics Education Research Conference 2011, Omaha, Nebraska. Retrieved April 28, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11804&DocID=2654
Chicago Format
Gire, Elizabeth, and Edward Price. "Graphical representations of vector functions in upper-division E&M." Paper presented at the Physics Education Research Conference 2011, Omaha, Nebraska, August 3-4, 2011. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11804&DocID=2654 (accessed 28 April 2024).
MLA Format
Gire, Elizabeth, and Edward Price. "Graphical representations of vector functions in upper-division E&M." Physics Education Research Conference 2011. Omaha, Nebraska: 2011. 27-30 Vol. 1413 of PER Conference Invited Paper. 28 Apr. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11804&DocID=2654>.
BibTeX Export Format
@inproceedings{ Author = "Elizabeth Gire and Edward Price", Title = {Graphical representations of vector functions in upper-division E&M}, BookTitle = {Physics Education Research Conference 2011}, Pages = {27-30}, Address = {Omaha, Nebraska}, Series = {PER Conference Invited Paper}, Volume = {1413}, Month = {August 3-4}, Year = {2011} }
Refer Export Format

%A Elizabeth Gire %A Edward Price %T Graphical representations of vector functions in upper-division E&M %S PER Conference Invited Paper %V 1413 %D August 3-4 2011 %P 27-30 %C Omaha, Nebraska %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11804&DocID=2654 %O Physics Education Research Conference 2011 %O August 3-4 %O application/pdf

EndNote Export Format

%0 Conference Proceedings %A Gire, Elizabeth %A Price, Edward %D August 3-4 2011 %T Graphical representations of vector functions in upper-division E&M %B Physics Education Research Conference 2011 %C Omaha, Nebraska %V 1413 %P 27-30 %S PER Conference Invited Paper %8 August 3-4 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11804&DocID=2654


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