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written by Tevian Dray and Corinne A. Manogue
This paper was written collaboratively by a physicist and a mathematician to raise awareness about the "vector calculus gap" and offer realistic solutions to bridge the gap.  The authors define the vector calculus gap as a disparity between the way mathematicians and physical scientists think about vectors, which they argue results in performance difficulties for students of physics and engineering.  In this paper, they advocate emphasizing geometric reasoning over algebraic computation when introducing vectors.  In addition, their proposed instructional method uses differentials to bridge the vector calculus gap.  Included are sample group activities and tips for incorporating these ideas in the classroom.

SEE RELATED ITEMS BELOW for a link to the authors' full web site on Bridging the Vector Calculus Gap.
Conference on Transforming Math and Science Education in the K16 Curriculum
Arlington, VA: April 18-21, 2002
Pages 7
Subjects Levels Resource Types
Classical Mechanics
- Motion in Two Dimensions
= Position & Displacement
Education Foundations
- Cognition
= Cognition Development
Education Practices
- Pedagogy
= Instructional Issues
Mathematical Tools
- Vector Calculus
Other Sciences
- Engineering
- Mathematics
- High School
- Lower Undergraduate
- Reference Material
= Proceedings
= Report
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Free access
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Does not have a copyright, license, or other use restriction.
Keywords:
pedagogy, vector, vector algebra, vector geometry
Record Creator:
Metadata instance created December 23, 2008 by Caroline Hall
Record Updated:
January 4, 2009 by Bruce Mason
Last Update
when Cataloged:
July 21, 2007
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Record Link
AIP Format
T. Dray and C. Manogue, presented at the Conference on Transforming Math and Science Education in the K16 Curriculum, Arlington, VA, 2002, WWW Document, (http://www.physics.orst.edu/bridge/papers/pathways.pdf).
AJP/PRST-PER
T. Dray and C. Manogue, Bridging the Vector Calculus Gap, presented at the Conference on Transforming Math and Science Education in the K16 Curriculum, Arlington, VA, 2002, <http://www.physics.orst.edu/bridge/papers/pathways.pdf>.
APA Format
Dray, T., & Manogue, C. (2002, April 18-21). Bridging the Vector Calculus Gap. Paper presented at Conference on Transforming Math and Science Education in the K16 Curriculum, Arlington, VA. Retrieved December 11, 2017, from http://www.physics.orst.edu/bridge/papers/pathways.pdf
Chicago Format
Dray, Tevian, and Corinne Manogue. "Bridging the Vector Calculus Gap." Paper presented at the Conference on Transforming Math and Science Education in the K16 Curriculum, Arlington, VA, April 18-21, 2002. http://www.physics.orst.edu/bridge/papers/pathways.pdf (accessed 11 December 2017).
MLA Format
Dray, Tevian, and Corinne Manogue. "Bridging the Vector Calculus Gap." Conference on Transforming Math and Science Education in the K16 Curriculum. Arlington, VA: 2002. 7 11 Dec. 2017 <http://www.physics.orst.edu/bridge/papers/pathways.pdf>.
BibTeX Export Format
@inproceedings{ Author = "Tevian Dray and Corinne Manogue", Title = {Bridging the Vector Calculus Gap}, BookTitle = {Conference on Transforming Math and Science Education in the K16 Curriculum}, Pages = {7}, Address = {Arlington, VA}, Month = {April 18-21}, Year = {2002} }
Refer Export Format

%A Tevian Dray
%A Corinne Manogue
%T Bridging the Vector Calculus Gap
%D April 18-21 2002
%P 7
%C Arlington, VA
%U http://www.physics.orst.edu/bridge/papers/pathways.pdf
%O Conference on Transforming Math and Science Education in the K16 Curriculum
%O April 18-21
%O application/pdf

EndNote Export Format

%0 Conference Proceedings
%A Dray, Tevian
%A Manogue, Corinne
%D April 18-21 2002
%T Bridging the Vector Calculus Gap
%B Conference on Transforming Math and Science Education in the K16 Curriculum
%C Arlington, VA
%P 7
%8 April 18-21
%U http://www.physics.orst.edu/bridge/papers/pathways.pdf


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Bridging the Vector Calculus Gap:

Is Part Of http://www.physics.orst.edu/bridge/

This is the home page for the NSF-funded project titled "Vector Calculus Bridge"

relation by Caroline Hall

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