Understanding student use of differentials in physics integration problems

K-REx Repository

Show simple item record

dc.contributor.author Hu, Dehui
dc.contributor.author Rebello, N. Sanjay
dc.date.accessioned 2013-10-03T21:21:07Z
dc.date.available 2013-10-03T21:21:07Z
dc.date.issued 2013-07-26
dc.identifier.uri http://hdl.handle.net/2097/16605
dc.description.abstract This study focuses on students’ use of the mathematical concept of differentials in physics problem solving. For instance, in electrostatics, students need to set up an integral to find the electric field due to a charged bar, an activity that involves the application of mathematical differentials (e.g., dr, dq). In this paper we aim to explore students’ reasoning about the differential concept in physics problems. We conducted group teaching or learning interviews with 13 engineering students enrolled in a second-semester calculus-based physics course. We amalgamated two frameworks—the resources framework and the conceptual metaphor framework—to analyze students’ reasoning about differential concept. Categorizing the mathematical resources involved in students’ mathematical thinking in physics provides us deeper insights into how students use mathematics in physics. Identifying the conceptual metaphors in students’ discourse illustrates the role of concrete experiential notions in students’ construction of mathematical reasoning. These two frameworks serve different purposes, and we illustrate how they can be pieced together to provide a better understanding of students’ mathematical thinking in physics. en_US
dc.language.iso en_US en_US
dc.relation.uri https://doi.org/10.1103/PhysRevSTPER.9.020108 en_US
dc.rights This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). en_US
dc.rights.uri http://rightsstatements.org/vocab/InC/1.0/
dc.subject Differentials en_US
dc.subject Problem solving in physics en_US
dc.subject Mathematical thinking en_US
dc.subject Physics education en_US
dc.title Understanding student use of differentials in physics integration problems en_US
dc.type Article (publisher version) en_US
dc.date.published 2013 en_US
dc.citation.doi 10.1103/PhysRevSTPER.9.020108 en_US
dc.citation.epage 020108-14 en_US
dc.citation.issue 2 en_US
dc.citation.jtitle Physical Review Special Topics: Physics Education Research en_US
dc.citation.spage 020108-1 en_US
dc.citation.volume 9 en_US
dc.contributor.authoreid srebello en_US


Files in this item

This item appears in the following Collection(s)

Show simple item record

This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). Except where otherwise noted, the use of this item is bound by the following: This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).

Search K-REx


Advanced Search

Browse

My Account

Statistics








Center for the

Advancement of Digital

Scholarship

cads@k-state.edu