There are some students who have such a broad and deep knowledge of some topics that it is difficult to teach them. This “nice problem” stems from the fact that those students study in their own time, independently of the work we give them as teachers.
It adds up. Students who routinely learn outside of the classroom build up a body of knowledge and make connections between these pieces of knowledge. The effect is that they are better equipped to solve problems and to analyse or evaluate with accuracy and fluency. In studying independently, students effectively multiply the amount of time they spend learning, compared with those who rely solely on classroom teaching.
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