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Stols, Gerrit; Long, Caroline; Dunne, Tim – African Journal of Research in Mathematics, Science and Technology Education, 2015
The purpose of this study is to apply the Rasch model to investigate both the Van Hiele theory for geometric development and an associated test. In terms of the test, the objective is to investigate the functioning of a classic 25-item instrument designed to identify levels of geometric proficiency. The dataset of responses by 244 students (106…
Descriptors: Item Response Theory, Geometry, Geometric Concepts, Mathematical Concepts
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