The Teaching System is only exclusive for Skills (there'll be a separate one for Abilities).
The requirements for the Teaching System are:
1.) A student,
2.) A mentor,
3.) the Skill the student wants to know.
Basically, there is no procedure on how to teach the Skill you want your Student to learn. Now, here's an example:
1.) (Student) Me
2.) (Mentor) Someone
3.) (Skill) Martial Arts
Basically, I first need to ask my Mentor if he can teach me this certain skill I want to learn (in-character or via chat or via pm). If he says yes, then we'll proceed to make a post or a topic regarding this. We'll roleplay the teaching, and you'll automatically learn the Skill. For it to be added in your Character profile, ask an Admin or ask a Mod to tell an Admin to do so.