As a Maths teacher I could not more agree on this. Marcus du Sautoy said on a TED conference on 29th October 2009 "I am a great believer that mathematics is not a spectators sport. And you have to do some mathematics in order to really understand it"
This is true for mathematics but also for most academic subjects. It is also true that reinvesting what you learnt in concrete, fun and challenging projects you will remember it.
If you prepare scenes of a play in Drama class, there are more chances you will remember if you act your scenes in front of a real audience and not just in front of the class.
When you learn by doing you seize the learning and make your own, and once it is yours it is difficult to take it away from you.
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