What the Integral Does: Physics Students' Efforts at Making Sense of Integration
written by
Joseph F. Wagner
Students use a variety of resources to make sense of integration, and interpreting the definite integral as a sum of infinitesimal products (rooted in the concept of a Riemann sum) is particularly useful in many physical contexts. This study of beginning and upper-level undergraduate physics students examines some obstacles students encounter when trying to make sense of integration, as well as some discomforts and skepticism some students maintain even after constructing useful conceptions of the integral. In particular, many students attempt to explain what integration does by trying to interpret the algebraic manipulations and computations involved in finding antiderivatives. This tendency, perhaps arising from their past experience of making sense of algebraic expressions and equations, suggests a reluctance to use their understanding of "what a Riemann sum does" to interpret "what an integral does."
Physics Education Research Conference 2015
Part of the PER Conference series College Park, MD: July 29-30, 2015 Pages 355-358
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<a href="https://www.compadre.org/portal/items/detail.cfm?ID=13906">Wagner, Joseph. "What the Integral Does: Physics Students' Efforts at Making Sense of Integration." Paper presented at the Physics Education Research Conference 2015, College Park, MD, July 29-30, 2015.</a>
AIP Format
J. Wagner, presented at the Physics Education Research Conference 2015, College Park, MD, 2015, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13906&DocID=4324).
AJP/PRST-PER
J. Wagner, What the Integral Does: Physics Students' Efforts at Making Sense of Integration, presented at the Physics Education Research Conference 2015, College Park, MD, 2015, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13906&DocID=4324>.
APA Format
Wagner, J. (2015, July 29-30). What the Integral Does: Physics Students' Efforts at Making Sense of Integration. Paper presented at Physics Education Research Conference 2015, College Park, MD. Retrieved January 17, 2022, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13906&DocID=4324
Chicago Format
Wagner, Joseph. "What the Integral Does: Physics Students' Efforts at Making Sense of Integration." Paper presented at the Physics Education Research Conference 2015, College Park, MD, July 29-30, 2015. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13906&DocID=4324 (accessed 17 January 2022).
MLA Format
Wagner, Joseph. "What the Integral Does: Physics Students' Efforts at Making Sense of Integration." Physics Education Research Conference 2015. College Park, MD: 2015. 355-358 of PER Conference. 17 Jan. 2022 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13906&DocID=4324>.
BibTeX Export Format
@inproceedings{
Author = "Joseph Wagner",
Title = {What the Integral Does: Physics Students' Efforts at Making Sense of Integration},
BookTitle = {Physics Education Research Conference 2015},
Pages = {355-358},
Address = {College Park, MD},
Series = {PER Conference},
Month = {July 29-30},
Year = {2015}
}
Refer Export Format
%A Joseph Wagner %T What the Integral Does: Physics Students' Efforts at Making Sense of Integration %S PER Conference %D July 29-30 2015 %P 355-358 %C College Park, MD %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13906&DocID=4324 %O Physics Education Research Conference 2015 %O July 29-30 %O application/pdf
EndNote Export Format
%0 Conference Proceedings %A Wagner, Joseph %D July 29-30 2015 %T What the Integral Does: Physics Students' Efforts at Making Sense of Integration %B Physics Education Research Conference 2015 %C College Park, MD %P 355-358 %S PER Conference %8 July 29-30 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=13906&DocID=4324 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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The AIP Style presented is based on information from the AIP Style Manual. The APA Style presented is based on information from APA Style.org: Electronic References. The Chicago Style presented is based on information from Examples of Chicago-Style Documentation. The MLA Style presented is based on information from the MLA FAQ. What the Integral Does: Physics Students' Efforts at Making Sense of Integration:Know of another related resource? Login to relate this resource to it. |
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