I'm a Math Teacher for highly talented students in High School.
It's hard for me to determine how fast can I move through topics and how deeply can I dive into different math subjects for enhancing their abilities, while also keeping their interest and fondness for mathematics high. I know that it's a quite ambiguous question but I'm asking about teaching methods and the psychology of teaching for high talents because I don't have much experience and I don't want to ruin their talents.
Can anybody provide some suggestions or rules for teaching Math to those talents? Or maybe some books about teaching?