Thinking Mathematically is perfect for anyone who wants to develop their powers to think mathematically, whether at school, at university or just out of interest. This book is invaluable for anyone who wishes to promote mathematical thinking in others or for anyone who has always wondered what lies at the core of mathematics. Thinking Mathematically reveals the processes at the heart of mathematics and demonstrates how to encourage and develop them. Extremely practical, it involves the reader in questions so that subsequent discussions speak to immediate experience.
1. Everyone can start 2. Phases of work 3. Responses to being STUCK 4. ATTACK: conjecturing 5. ATTACK: justifying and convincing 6. Still STUCK? 7. Developing an internal monitor 8. On becoming your own questioner 9. Developing mathematical thinking 10. Something to think about 11. Thinking mathematically in curriculum topics Bibliography Subject Index Index of questions
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