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Long, Caroline; Wendt, Heike; Dunne, Tim – Educational Research and Evaluation, 2011
Educational measurement is generally thought of as empirical, quantitative, and large-scale, whose purpose is to monitor educational systems. Sociocognitive studies, on the other hand, are associated with small-scale, theoretical, and qualitative studies, the purpose of which is to conduct fine-grained analysis of learning or teaching, or to…
Descriptors: Mathematics Education, Models, Measurement Techniques, Measures (Individuals)
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Long, Caroline; Dunne, Tim; Craig, Tracy S. – African Journal of Research in Mathematics, Science and Technology Education, 2010
In the transition years, Grades 7 to 9, the shift from natural numbers to rational numbers and the associated multiplicative concepts prove challenging for many learners. The new concepts, operations and notation must be mastered if the student is to thereafter rise to meet the challenges of algebra and more advanced and powerful mathematics. The…
Descriptors: Multiplication, Mathematics Skills, Item Response Theory, Mathematical Concepts