Combinatorics is one of the oldest branch of mathematics, dating back to the 16th century. Combinatorics may be defined as a principle of calculation involving the selection and arrangement of objects/numbers. Combinatorics as a subject is incorporated in school mathematics curriculum. Some teachers focus on these thinking skills, most don’t.
Let me demonstrate this thinking skill in a simple math problem
A rectangle is given. Its area is 20 sq units. We need to find its perimeter.
Area = length x breadth
Perimeter = 2 x ( Length + breadth)
The length and breadth are not given.. So we need to figure out possible values for length and breadth.
When a student develops combinatorial thinking, the student is able to think of multiple possible answers for the given problem.
Since 20 = 5 x 4 or 10 x 2 or 20 x 1
There are three possible answers for the perimeter( assuming length and breadth are integers)
Answer 1: Perimeter = 2 x ( 5+ 4) = 18 cms
Answer 2: Perimeter = 2 x (10+2) = 24 cms
Answer 3: Perimeter = 2 x (20+1) = 42 cms
If kids learn this type of thinking, they will be able to solve problems with higher order thinking.
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Now try the sums below
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