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Math Trick

The best way to understand the use of a mathematical trick is to imagine that you are stuck on a problem and can find no way forward. You cannot start and then, suddenly, there is a light bulb moment and you can suddenly see how to proceed. You might on occasions be able to see your way immediately and obviously to the answer, or you might still need to do some work to process or apply the trick ' however, there is a definite 'ah!' as you realise how to proceed. At a most basic level, the light bulb is the trick and it jumps you from not knowing how to start to the problem to being confident as to how to proceed. Sometimes the trick will be a piece of firm knowledge, such as a theorem; at other times it will be a process of sorts, such as cleverly splitting up a diagram.
This is an example of Math Trick

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