In order to bring the subject some meaningful context, I believe it would work to start a topic by first discussing its utility. After that I would go through some simple examples. I should stress that there are no silly enquiries, anything to aid a student's comprehension is crucial. After I've run through a couple of examples, I would love to have the student run through their own instance, speaking with me pretending they were the tutor and I was the student.
Lots of studies have actually shown that aiming to describe a principle you have a little while ago learned helps greatly in remembering and also understanding. If I'm satisfied with their training, I 'd like to check their critical thinking by giving them a problem based upon whatever discovered in the lesson, however with subtle changes that call for the tutee to proactively engage with the work, rather than be on "autopilot".
Home assignment will certainly be established on the material talked about (absolutely nothing extra extreme), as well as further lessons will certainly be spent addressing exam-styled enquiries prior to moving on to the next topic.
During lessons I 'd like to urge a rather informal, friendly atmosphere. I have fun mentor, and I hope students enjoy my training sessions, and also an unwinded mind is better at learning.