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
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![]() <a href="https://www.compadre.org/portal/items/detail.cfm?ID=8394">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.</a>
![]() 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).
![]() 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>.
![]() 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 May 3, 2025, from http://www.physics.orst.edu/bridge/papers/pathways.pdf
![]() 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 3 May 2025).
![]() 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 3 May 2025 <http://www.physics.orst.edu/bridge/papers/pathways.pdf>.
![]() @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}
}
![]() %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 ![]() %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 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.
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