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Student Interpretation of the Signs of Definite Integrals Using Graphical Representations
written by Rabindra R. Bajracharya, Thomas M. Wemyss, and John R. Thompson
Physics students are expected to apply the mathematics learned in their mathematics courses to physics concepts and problems. Few PER studies have distinguished between difficulties students have with physics concepts and those with either mathematics concepts and their application or the representations used to connect the math and the physics. We are conducting empirical studies of student responses to mathematics questions dealing with graphical representations of (single-variable) integration. Reasoning in written responses could roughly be put into three major categories related to particular features of the graphs: area under the curve, position of the function, and shape of the curve. In subsequent individual interviews, we varied representational features to explore the depth and breadth of the contextual nature of student reasoning, with an emphasis on negative integrals. Results suggest an incomplete understanding of the criteria that determine the sign of a definite integral.
Physics Education Research Conference 2011
Part of the PER Conference series
Omaha, Nebraska: August 3-4, 2011
Volume 1413, Pages 111-114
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Education Foundations
- Alternative Conceptions
- Assessment
= Conceptual Assessment
= Instruments
- Learning Theory
= Representations
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- Calculus
- Lower Undergraduate
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= Research study
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Mirror:
https://doi.org/10.1063/1.3680006
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:
10.1063/1.3680006
NSF Number:
0817282
PACS:
01.40.Fk
Keywords:
PERC 2011, definite integral, representations
Record Cloner:
Metadata instance created February 6, 2012 by Lyle Barbato
Record Updated:
May 28, 2012 by Lyle Barbato
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when Cataloged:
February 6, 2012
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AIP Format
R. Bajracharya, T. Wemyss, and J. Thompson, , presented at the Physics Education Research Conference 2011, Omaha, Nebraska, 2011, WWW Document, (https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11699&DocID=2576).
AJP/PRST-PER
R. Bajracharya, T. Wemyss, and J. Thompson, Student Interpretation of the Signs of Definite Integrals Using Graphical Representations, presented at the Physics Education Research Conference 2011, Omaha, Nebraska, 2011, <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11699&DocID=2576>.
APA Format
Bajracharya, R., Wemyss, T., & Thompson, J. (2011, August 3-4). Student Interpretation of the Signs of Definite Integrals Using Graphical Representations. Paper presented at Physics Education Research Conference 2011, Omaha, Nebraska. Retrieved March 28, 2024, from https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11699&DocID=2576
Chicago Format
Bajracharya, R, T. Wemyss, and J. Thompson. "Student Interpretation of the Signs of Definite Integrals Using Graphical Representations." Paper presented at the Physics Education Research Conference 2011, Omaha, Nebraska, August 3-4, 2011. https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11699&DocID=2576 (accessed 28 March 2024).
MLA Format
Bajracharya, Rabindra, Thomas Wemyss, and John Thompson. "Student Interpretation of the Signs of Definite Integrals Using Graphical Representations." Physics Education Research Conference 2011. Omaha, Nebraska: 2011. 111-114 Vol. 1413 of PER Conference. 28 Mar. 2024 <https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11699&DocID=2576>.
BibTeX Export Format
@inproceedings{ Author = "Rabindra Bajracharya and Thomas Wemyss and John Thompson", Title = {Student Interpretation of the Signs of Definite Integrals Using Graphical Representations}, BookTitle = {Physics Education Research Conference 2011}, Pages = {111-114}, Address = {Omaha, Nebraska}, Series = {PER Conference}, Volume = {1413}, Month = {August 3-4}, Year = {2011} }
Refer Export Format

%A Rabindra Bajracharya %A Thomas Wemyss %A John Thompson %T Student Interpretation of the Signs of Definite Integrals Using Graphical Representations %S PER Conference %V 1413 %D August 3-4 2011 %P 111-114 %C Omaha, Nebraska %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11699&DocID=2576 %O Physics Education Research Conference 2011 %O August 3-4 %O application/pdf

EndNote Export Format

%0 Conference Proceedings %A Bajracharya, Rabindra %A Wemyss, Thomas %A Thompson, John %D August 3-4 2011 %T Student Interpretation of the Signs of Definite Integrals Using Graphical Representations %B Physics Education Research Conference 2011 %C Omaha, Nebraska %V 1413 %P 111-114 %S PER Conference %8 August 3-4 %U https://www.compadre.org/Repository/document/ServeFile.cfm?ID=11699&DocID=2576


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