In the past three tutorials, we have looked at the mathematical problem solving and teaching of arithmetics.
In the first session, through solving a few mathematical problems, we have revisited the pentagon model for solving mathematical problem. It is important to note that the five elements are required for the problem solving but at the same time, the mathematical problem also reinforces the five elements.
In the subsequent two session, we have looked at the skills for solving some arithmetic problems. However the emphasis is not on the algorithm but the underlying concepts involved. Through these few exercises, i learnt how to apply the concept of addition, subtraction, multiplication and division in explaining the mechanical operation involved. By using the negative numbers in the examples, it helps me to re-think what I knew in the past and thus understand the concept better.
At the same time, I also realized that it is important to bring us down to the level of the students and use more concrete or pictorial examples rather than abstract concept in teaching to help to communicate to the students.
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