Elsewhere in this issue, two students report on their search for Happy Numbers. This is an interesting topic in recreational mathematics which throws up questions that are not easy to answer. We describe the essential proof techniques used in the study of such topics

This time in Student's Corner, we atlk about happy numbers.

Here are some questions which arise while teaching Multiplication: Should children memorize the multiplication tables? Is it enough if one only teaches the procedure of multiplication? Perhaps answers to these questions can be found if we reflect on the importance given to the construction of knowledge. If we see that children must understand how facts and procedures are derived, and how concepts can be visualized, then our approach will be dictated by that understanding. 

The identification of patterns is central to mathematics. Starting with simple patterns of repeating shapes, the child can move on to more complex patterns involving shapes as well as numbers. Playing with patterns gives immense joy to the child. Understanding, visualizing, and predicting patterns is very much central to appreciating the beauty of mathematics. The National Curriculum Framework 2005 stresses on this fact.

This worksheet is part of an activity titled Cycle Symmetry under the theme Playground Mathematics.

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