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1. Cultural context to the evolution of research on teaching mathematics
2. Pre-existing mathematics teacher characteristics
3. Mathematics teacher competencies, knowledge, and skills
4. Research on pre-active mathematics teacher activities
5. Research on interactive mathematics teacher activities
6. Mathematics teacher training and experiences
7. Student mathematics learning activities
8. Student mathematics learning outcomes
9. External context
10. Individual student internal contexts and considerations for mathematics teaching and learning
11. Individual student characteristics, abilities, and personal qualities.

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