Schematic models have been used extensively in educational research to represent relationships between variables diagrammatically, including the interrelationships between factors associated with teachers' beliefs and practices. A review of such models informed the development of a new model that was used to plan an investigation into primary…

Reports results from one component of a larger project that explored the classroom potential of content-specific, open-ended tasks. Examines responses from 1200 students to comparable closed and open-ended tasks and explores the effect of using specific contexts for such tasks. Concludes that both open-ended and closed tasks can contribute to…

Interviews Grade 4 children (n=36) to find how they interpret the angles implicit in six realistic models. Proposes a framework for further research on the development of children's angle concepts based on the results of this study and others. Contains 21 references. (Author/ASK)

Discusses two meanings of abstract: abstract-apart, ideas removed from reality; and abstract-general, ideas general to a wide variety of contexts. Suggests that greater interest in abstraction as a process, instead of just a product, would be beneficial to mathematics education theory and practice. (48 references) (MKR)