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Showing posts from May 6, 2012

Convergent and divergent thinking

Suppose we are asked this question: "What is the square root of 5?" How would we go about solving it? We would start by narrowing the scope of our search. Obviously 2-squared is 4 and 3-squared is 9, and so the answer should lie between 2 and 3. In fact, 2.5-squared is 6.25, so the answer should be between 2 and 2.5. Also, 2.2-squared is 4.84 and so the answer should lie between 2.2 and 2.5. This way we "converge" to an answer that is close enough to the required solution. This kind of thinking is characteristically called convergent thinking . In such thinking processes, we are looking for "a" solution. Our process constitutes taking into account several factors, combining them together, eliminating what is not necessary, fine tuning what we already have, until we arrive at the desired solution. Now consider the following kind of problem. Take an object that you can see -- say a pen. Now come up with as many possible uses of the pen as you can th