In order to bring the subject some meaningful context, I think it would certainly be useful to start a theme by first discussing its utility. After that I would go through some simple cases. I need to stress that there are no silly questions, anything to help a tutee's comprehension is vital. After I've run through a few cases, I wish to have the student run through their personal example, speaking with me as if they were the tutor and I was the student.
Lots of researches have actually revealed that trying to explain an idea you have actually a while ago found out assists greatly in remembering and comprehension. If I'm satisfied with their training, I would love to examine their critical thinking by giving them an issue based on everything found out in the lesson, however with refined modifications that require the tutee to actively engage with the work, as opposed to be on "auto-pilot".
Homework will certainly be established on the topic talked about (nothing extra extreme), and also further lessons will be spent answering exam-styled questions before moving on to the next topic.
During lessons I wish to encourage a rather informal, friendly environment. I enjoy mentor, as well as I wish students have a good time in my training sessions, and an unwinded mind is better at studying.