Advanced Mathematical Thinking
Advanced Mathematical Thinking has played a central role in the development of human civilization for over two millennia. Yet in all that time the serious study of the nature of advanced mathematical thinking – what it is, how it functions in the minds of expert mathematicians, how it can be encoura...
| Συγγραφή απο Οργανισμό/Αρχή: | |
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| Άλλοι συγγραφείς: | |
| Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
| Γλώσσα: | English |
| Έκδοση: |
Dordrecht :
Springer Netherlands,
1991.
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| Σειρά: | Mathematics Education Library ;
11 |
| Θέματα: | |
| Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- The Psychology of Advanced Mathematical Thinking
- The Nature of Advanced Mathematical Thingking
- Advanced Mathematical Thinking Processes
- Mathematical Creativity
- Mathematical Proof
- Cognitive Theory of Advanced Mathematical Thinking
- The Role of Definitions in the Teaching and Learning of Mathematics
- The Role of Conceptual Entities and Their Symbols in Building Advanced Mathematical Concepts
- Reflective Abstraction in Advanced Mathematical Thinking
- Research into the Teaching and Learning of Advanced Mathematical Thinking
- Research in Teaching and Learning Mathematics at an Advanced Level
- Functions and Associated Learning Difficulties
- Limits
- Analysis
- The Role of Studients’ Intuitions of Infinity in Teaching the Cantorian Theory
- Research on Mathematical Proof
- Advanced Mathematical Thinking and the Computer
- Epilogue
- Reflections.
