The first problem Dr Yeap posed to us challenged my problem solving abilities. He asked us, which letter in his name was counted 99th. I tried solving it but it took me a long time but I eventually got the answer. While working on it, I noticed a pattern forming in the sequence of numbers. I discovered that it was the 3rd letter in Dr Yeap's name.

At finding out the answer, Dr Yeap challenged us to do the same with our names. I tried the same method I used earlier but could not see any pattern while I could hear some classmates saying that they could see a pattern. I persisted until I got to the number ninety-nine. It may not have been the most effective method but it helped me discover that it was the the 3rd letter.

I learnt a few things today but I will surely remember the following three things from today's lecture...

*1. There are many methods to solving a problem - no one way is the right way*

*2. In teaching there are four levels; by modelling, scaffolding, giving opportunities and explaining*

*3. Students may use less efficient approaches but they will acquire more strategies during the lesson through other students' sharing their approaches and the teacher's effective questioning.*

I will continue asking, "I wonder why?" to get my students thinking and going in the direction I want them to go in solving a problem.

**It was all about****learning mathematics****by doing mathematics.**
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