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Leron, Uri; Hazzan, Orit – Educational Studies in Mathematics, 2009
This article is an attempt to place mathematical thinking in the context of more general theories of human cognition. We describe and compare four perspectives--mathematics, mathematics education, cognitive psychology, and evolutionary psychology--each offering a different view on mathematical thinking and learning and, in particular, on the…
Descriptors: Mathematics Education, Cognitive Psychology, Misconceptions, Mathematics Instruction
Dogan, Enis; Tatsuoka, Kikumi – Educational Studies in Mathematics, 2008
This study illustrates how a diagnostic testing model can be used to make detailed comparisons between student populations participating in international assessments. The performance of Turkish students on the TIMSS-R mathematics test was reanalyzed with a diagnostic testing model called the Rule Space Model. First, mathematical and cognitive…
Descriptors: Mathematics Tests, Diagnostic Tests, Pattern Recognition, Probability