Start any period with problems not with theories. From problems let students to discuss to have a solution.
In many all cases this method can be applied.
For example we take the case of ARITHMETIC PROGRESSION
E.g. you have to teach students to find out the nth term in Arithmetic Progression.
Often we start teaching them by introducing the equation a+(n-1)d
Instead try as following:
Write on board:
2, 4, 6, 8…
5, 10, 15…
8, 14, 20…
Step 1
Tell them that first number is referred by a
And the difference by d
Ask them what is the first term?
They will answer 2 or 5 or 8 or a (or compel them to say a)
Ask them now what is the second term?
They will answer 4, 10, and 14.
Step 2
Now ask them to add something to a to express these second term.
They will add d to it and will say a+d
Now ask them to express the third term so.
They may add 2d to it and will say a+2d ‘or manage the situation.
Now ask them to express the fourth term so, if we did not write it.
They must add 3d to it and will say a+3d
Step 3
Now write on board
Arithmetic Progression: 2, 4, 6, 8..
a, a+d, a+2d, a+3d…
it’s is also can be expressed as a+0d, a+1d, a+2d, a+3d…
Now ask them what will be the 10th term.
After a few seconds gap, they will answer a+9d
Step 4
Now tell them what will be their answer if you tell them to find the term in, for example, nth position.
Let them discuss for some time.
Make them start with a, but how many times d should be multiplied? No risk n-1 times
It’s a+(n-1)d
Seems too risk?
But, it does not need more than 10 minutes to play with this fun game.
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