These seem like pretty good definitions of knowing. I don't like the implied correlation between knowledge on topic A and the ability to communicate or even teach though.
Two counter-examples would be:
- The person that stutters or otherwise can't communicate effectively.
- The professor that can expound upon every aspect of an idea, but not in a way that most students could grasp
To me being able to answer unplanned questions after the explanation is more reasonable gauge then measuring the initial explanation. As learning a complex topic and learning how to teach said complex topic are two different things.
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