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In the past, there was an exclusive emphasis on vertical thinking (logic or mathematics). Vertical thinking is linear, logical and produce the final solution from a series of accurate statements.
Vertical thinking is useful, but sometimes we need to think outside the box. When vertical thinking is not getting you anywhere, you should switch to lateral thinking. Lateral thinking is important when constructing strategies or challenging old ways of dealing with a problem.
Brainstorming is very effective to solve a problem creatively. Sharing ideas in a constructive environment will likely lead to an innovative solution.
Another method is the reversal technique. It's based on the idea that you can change your perspective when you change the order of the words or the question. For example, "the parents are educating their kids' or "the kids need to be educated by their parents".
There is no doubt that creativity is the most important human resource of all. Without creativity, there would be no progress, and we would be forever repeating the same patterns.