Transcendence

A teacher should aim to train every student up to their level and foster the skills necessary to go further.
 A student is not defined by their teacher.
 They can exceed the teacher.

 Consider people such as Einstein or Mozart.
 Clearly Einstein exceeded the sum of his teacher's expertise; he is considered to be one of the most powerful thinkers of all time...
 What was his physics teacher called?

 Every good teacher wants the student to exceed their own limitations.