At school, for young people, the best is experience. More than getting all the equations and minus signs right, one should get the experience. Do something in the lab; send a laser beam to the screen through the side of an index card and get a diffraction ring on the blackboard.
Most of all the guide, should be into it. He or she should really want to see the result of the experiment; be it the detection of a cosmic ray, or the boiling point of water, it really doesn't matter; but the guide should deeply care about the result of the search.
Next in importance in my mind, is to equally focused, the guide should try to connect what was just found with the rest of everybody's experience.
Mathematics, on the other hand is more of a pure mind exercise, it should strengthen our mind "muscles'.
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