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The Exploration Of The Tower Of Hanoi

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The Exploration of the tower of hanoi DULWICH COLLEGE BEIJING Introduction 3 Definition 4 History 5 Exploration 6 The Tower of Hanoi task 6 Introduction to Proof by Induction 6 Application 8 Proof by Induction 10 Conclusion 11 Introduction Nervous, excited and afraid. Standing in front of the classroom full of students that are amazingly talented in the mathematic field. I have joined this after school math session since I entered the IB years. As I am much older, I help the teacher organize math activities with these children. However, this is the first time I lead a session without a teacher. My partner and I have designed a game with the children which includes the tower of Hanoi. The tower of Hanoi has always been a challenge for me; therefore, I thought it would be interesting for these talented mathematician to give these discs a go. After briefly explaining the task of the tower of Hanoi, I handed each group their tower of Hanoi. They were asked to compete with other groups on the time taken to complete the task. Although, there were some clear winners, I’ve noticed the approach of this activity was not challenging enough for these mathematicians. Some students move the disc too quickly and without thinking; therefore, some winners are based on luck and lack of though. As a result, I changed the rule of the task – the group that completes the task with the least moves will be the winner. Expectedly, this change did make the task

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