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Model Analysis: A Quantum Approach to Analyze Student Understanding


Paper Type 
Contributed Paper
Title 
Model Analysis: A Quantum Approach to Analyze Student Understanding
Author 
Pornrat Wattanakasiwich, and Supon Ananta
Email 
pornratw@chiangmai.ac.th
Abstract:
The objective of this study had two folds-1) investigating students’ basic understanding of  force and motion and 2) employing a new analysis method, called model analysis. This method helps obtain students’ alternative knowledge and probabilities for students to use such knowledge in a range of  equivalent contexts. The model analysis consists of  two algorithmsconcentration factor and model estimation. The data were student responses on Force and Motion Conceptual Evaluation (FMCE). 545 engineering freshmen taking an introductory physics with calculus at Chiang Mai University took both pre- and post-test. The concentration factor indicated that students had misconception in concepts of  Newton’s laws. Hence the class model density matrices for both pre/post scores were constructed to determine characteristics of the pre/post class; eigenvalues and eigenvectors were calculated by the eigenvalue decomposition method.  Results from model plots suggested that most students still had misconception about force-motion concept and had mixed model states about Newton’s third law.
Start & End Page 
24 - 32
Received Date 
2008-12-15
Revised Date 
Accepted Date 
2008-12-22
Full Text 
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Keyword 
model analysis, concentration factor, model estimation, FMCE, conceptual understanding, force and motion, Newton’s laws
Volume 
Vol.36 No.1 (JANUARY 2009)
DOI 
Citation 
Wattanakasiwich P. and Ananta S., Model Analysis: A Quantum Approach to Analyze Student Understanding, Chiang Mai J. Sci., 2009; 36(1): 24-32.
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Chiang Mai Journal of Science

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