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In This Chapter
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Advanced mathematical thinking and the role of mathematical structure
- Institutional Issues
- What is advanced mathematical thinking?
- Teaching practices and support systems
- Delivery of lectures, and co-operation between lecturers of mathematics and mathematics education researchers
- Mathematics Education Research at the Tertiary Level
- Research directions in concept acquisition
- Proof and problem solving
- Models of types of reasoning, the proof language, and models of abstraction
- Mathematical Structure
- What is structure?
- Perspectives on (mathematical) structure taken by the literature
- Stating our own position concerning structure
- Correspondences and functions within structure
- Local structuring
- Concluding Remarks
- References
Abstract
And so he began again, now D major, now D minor, and forward through each scale, moving up, each tune a variation on its beginnings, structure giving rise to possibilities.
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