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written by Steven Sommer and Rebecca S. Lindell
By studying the patterns of a group of individuals' responses to a series of multiple-choice questions, researchers can utilize Model Analysis Theory to create a probability distribution of mental models for a student population. The eigenanalysis of this distribution yields information about what mental models the students possess, as well as how consistently they utilize said mental models. Although the theory considers the probabilistic distribution to be fundamental, there exists opportunities for random errors to occur. In this paper we will discuss a numerical approach for mathematically accounting for these random errors. As an example of this methodology, analysis of data obtained from the Lunar Phases Concept Inventory will be presented. Limitations and applicability of this numerical approach will be discussed.
Physics Education Research Conference 2003
Part of the PER Conference series
Madison, WI: August 6-7, 2003
Volume 720, Pages 49-52
Subjects ADS Supplements Resource Types
Astronomy
- Astronomy Education
= Education Research
Education - Basic Research
- Research Design & Methodology
General Physics
- Physics Education Research
Mathematical Tools
- Numerical Analysis
- Reference Material
= Research study
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text/html
application/pdf
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Mirror:
http://dx.doi.org/10.1063/1.1807251
Access Rights:
Available by subscription
Restriction:
© 2003 American Institute of Physics
Additional information is available.
DOI:
10.1063/1.1807251
PACSs:
01.40.Fk
06.20.Dk
Keywords:
Lunar Phases Concept Inventory (LPCI), Model Analysis theory, PERC 2003, error analysis, human factors, modelling, statistical analysis, students' mental models
Record Creator:
Metadata instance created July 14, 2005 by Lyle Barbato
Record Updated:
July 7, 2013 by Lyle Barbato
Last Update
when Cataloged:
September 9, 2004
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Record Link
AIP Format
S. Sommer and R. Lindell, presented at the Physics Education Research Conference 2003, Madison, WI, 2003, WWW Document, (http://www.compadre.org/Repository/document/ServeFile.cfm?ID=2913&DocID=3411).
AJP/PRST-PER
S. Sommer and R. Lindell, Accounting for Errors in Model Analysis Theory: A Numerical Approach presented at the Physics Education Research Conference 2003, Madison, WI, 2003, <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=2913&DocID=3411>.
APA Format
Sommer, S., & Lindell, R. (2003, August 6-7). Accounting for Errors in Model Analysis Theory: A Numerical Approach. Paper presented at Physics Education Research Conference 2003, Madison, WI. Retrieved September 1, 2014, from http://www.compadre.org/Repository/document/ServeFile.cfm?ID=2913&DocID=3411
Chicago Format
Sommer, Steven, and Rebecca Lindell. "Accounting for Errors in Model Analysis Theory: A Numerical Approach." Paper presented at the Physics Education Research Conference 2003, Madison, WI, August 6-7, 2003. http://www.compadre.org/Repository/document/ServeFile.cfm?ID=2913&DocID=3411 (accessed 1 September 2014).
MLA Format
Sommer, Steven, and Rebecca Lindell. "Accounting for Errors in Model Analysis Theory: A Numerical Approach." Physics Education Research Conference 2003. Madison, WI: 2003. 49-52 Vol. 720 of PER Conference. 1 Sep. 2014 <http://www.compadre.org/Repository/document/ServeFile.cfm?ID=2913&DocID=3411>.
BibTeX Export Format
@inproceedings{ Author = "Steven Sommer and Rebecca Lindell", Title = {Accounting for Errors in Model Analysis Theory: A Numerical Approach}, BookTitle = {Physics Education Research Conference 2003}, Pages = {49-52}, Address = {Madison, WI}, Series = {PER Conference}, Volume = {720}, Month = {August 6-7}, Year = {2003} }
Refer Export Format

%A Steven Sommer
%A Rebecca Lindell
%T Accounting for Errors in Model Analysis Theory: A Numerical Approach
%S PER Conference
%V 720
%D August 6-7 2003
%P 49-52
%C Madison, WI
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=2913&DocID=3411
%O Physics Education Research Conference 2003
%O August 6-7
%O text/html

EndNote Export Format

%0 Conference Proceedings
%A Sommer, Steven
%A Lindell, Rebecca
%D August 6-7 2003
%T Accounting for Errors in Model Analysis Theory: A Numerical Approach
%B Physics Education Research Conference 2003
%C Madison, WI
%V 720
%P 49-52
%S PER Conference
%8 August 6-7
%U http://www.compadre.org/Repository/document/ServeFile.cfm?ID=2913&DocID=3411


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