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Wu, Margaret; Adams, Raymond – Mathematics Education Research Journal, 2006
This research examined students' responses to mathematics problem-solving tasks and applied a general multidimensional IRT model at the response category level. In doing so, cognitive processes were identified and modelled through item response modelling to extract more information than would be provided using conventional practices in scoring…
Descriptors: Problem Solving, Mathematics Education, Cognitive Psychology, Item Response Theory
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Asiru, Muniru Aderemi – International Journal of Mathematical Education in Science and Technology, 2002
The method for geometric transforms (probability generating functions) is used to study the expected number of observations until the pattern 123123 . . . 123 is obtained. These results provide a first generalization of similar problems considered by other authors. (Contains 1 figure.)
Descriptors: Probability, Geometric Concepts, Computation, Item Response Theory