In order to bring the subject some solid context, I believe it would certainly work to start a theme by initial discussing its utility. Then I would go through some simple cases. I should emphasise that there are no silly questions, anything to help a student's understanding is vital. After I have actually run through a few examples, I would love to have the student gone through their own example, speaking with me as if they were the tutor and I was the student.
Many researches have revealed that attempting to describe an idea you have actually just found out assists greatly in retention and comprehension. If I'm satisfied with their teaching, I would love to evaluate their critical thinking by giving them an issue based on whatever learned in the lesson, but with subtle adjustments that need the student to proactively involve with the work, rather than be on "auto-pilot".
Home assignment will certainly be set on the topic discussed (absolutely nothing extra extreme), as well as even more lessons will be carried on addressing exam-styled questions prior to carrying on to the following topic.
Throughout lessons I wish to urge a relatively casual, pleasant atmosphere. I have fun teaching, as well as I really hope students have fun in my training sessions, and an unwinded mind is far better at learning.