As a PhD student in Mathematics at the University of Chicago, I have the chance to be a Teaching Assistant for some calculus courses here. I found that teaching, guiding students through their homework, and making sure that they understand key concepts from their lessons are all very satisfying experiences.
In the past, I did some training with gifted students in Vietnam and Saudi Arabia, to prepare them for mathematical olympiads such as the National Olympiad or the International Olympiad in Mathematics.