I believe that learning is far more than acquiring knowledge. Learning is more like a dance, a process of developing intimacy with the line of thought we are trying to follow. Good learning essentially creates change in the student, on many levels, opening up a new field of reality to his or her imagination and perception, changing and expanding her or his world view.
Therefore, when I teach, I try to assist the student in creating this intimate relationship with what they wish to learn, which is full of curiosity and empowerment. I love to keep things flexible and game-like, encouraging self discovery rather than knowledge accepted from an authority.
I believe in learning from first principles and actually trying to understand what we are talking about. For example, if we should learn calculus and try to preform derivatives, I will take the time for us to understand as precisely and deeply as we can what a derivative actually is, rather than skipping this important base and going straight to the technique. This method may seem a bit slower at first, but pays dividends in deeper understanding and curiosity.