Answering how??? is very important for learning Mathematics. Say for example A teacher stated in a classroom - The sum of first n odd natural numbers is n2 . In the next step students try to remember this result. After some days they forget the formula. Why it is happening? The main reason for this is cramming without understanding.
Mathematics is logical. It means it has valid reasons for what all it has in it as a subject. In the above example one way for understanding is showing visuals. This strategy can be made more interesting if students are participating in between for learning.
Given below is a slide show of pictures representing sum of first n odd natural numbers. Students try to see each one of the figures and come to the final conclusion by observing them in a sequence. Students answer the following questions:
- Can we express 1 as 12?
- What is 1+3 ? Can we express it as 22? and so on...
- What is 1+3+5+7+....upto n terms?