We study how physics knowledge is organized by students and experts. We introduced the method of constrained multidimensional item response theory to map theoretical models of knowledge structure to the results of conceptual inventories.
Multidimensional IRT and the FCI
This method produced a stunningly detailed model of the Force Concept Inventory (FCI). We have since replicated the method with the Conceptual Survey of Electricity and Magnetism.
Stewart, J., Zabriskie, C., DeVore, S., & Stewart, G. (2018). “Multidimensional item response theory and the Force Concept Inventory,” Physical Review Physics Education Research , 14, 010137.
Cluster Analysis
We have used cluster analysis to show that while the knowledge of most students migrate to a consistent application of correct physics through instruction, for some students their application of misconceptions become more consistent.
Stewart, J., Miller, M., Audo, C. & Stewart, G. (2012). “Using cluster analysis to identify patterns in students’ responses to contextually different conceptual problems,” Physical Review Physics Education Research, 8, 020112 (2012).
