To bring the subject some solid context, I think it would certainly serve to begin a topic by first discussing its benefit. Then I would certainly run through some simple cases. I need to stress that there are no foolish enquiries, anything to aid a tutee's comprehension is essential. After I have actually gone through a few cases, I would love to have the student run through their own case, talking to me pretending they were the tutor and I was the student.
Many researches have revealed that aiming to discuss a principle you have actually a little while ago learned assists profoundly in memorisation and understanding. If I'm satisfied with their teaching, I would love to check their critical thinking by giving them an issue based on everything discovered in the lesson, but with subtle adjustments that need the student to proactively engage with the work, instead of be on "auto-pilot".
Homework will certainly be set on the material talked about (nothing extra extreme), as well as better lessons will certainly be spent answering exam-styled enquiries prior to moving on to the next theme.
Throughout lessons I would love to motivate a relatively informal, friendly atmosphere. I have fun teaching, and I wish students have fun in my training sessions, and also a relaxed mind is much better at learning.