I have always known that teaching is not equal to learning. Sometimes, learning is a multiple of teaching, but more often than not, it is a fraction. The words of Kahlil Gibran in The Prophet have deeper meaning in this context:
In recent times, I have felt exasperated - however hard I try to teach - that so many of my young students do not get the "feel" for numbers I have. And I have always felt inadequate as a teacher. Till I came across these words of Gibran recently. They immediately calmed me down.
The teacher who walks in the shadow of the temple, among his followers, gives not of his wisdom but rather of his faith and his lovingness.
If he is indeed wise he does not bid you enter the house of wisdom, but rather leads you to the threshold of your own mind.
Now I understand, and hopefully they will learn more, and more deeply, thanks to this understanding.