In order to bring the subject some meaningful context, I think it would work to begin a topic by initial discussing its utility. Then I would run through some basic cases. I must stress that there are no dumb questions, anything to assist a student's understanding is essential. After I've run through a couple of cases, I would love to have the student run through their personal instance, speaking with me as if they were the tutor and I was the tutee.
Many researches have actually revealed that trying to clarify a principle you have just found out helps profoundly in retention as well as understanding. If I'm satisfied with their teaching, I would love to test their critical thinking by setting a problem based on whatever learned in the lesson, yet with refined modifications that need the student to actively involve with the work, as opposed to be on "autopilot".
Home assignment will certainly be set on the material talked about (nothing extra extreme), and also better lessons will certainly be spent responding to exam-styled enquiries before proceeding to the following topic.
Throughout sessions I 'd like to encourage a relatively casual, pleasant environment. I enjoy training, and also I wish students enjoy my training sessions, as well as an unwinded mind is far better at learning.