I was never a teacher but I've been a teacher's aide, tutor, and trainer.
I agree with what Steve said about relating to things they know. I don't know how well that technique will work with mathematics. A lot of times it's tough to put a class at ease, where they're not afraid of asking a question or saying, "I just don't get it." Then again, you may have students who fall behind and need extra attention that can't be taken out of class time.
I found a lot of what puts people at ease is you. The way you speak, words you choose, body language, if you can answer their questions. When we do training here for larger groups of people, we have a "parking lot". It can be on a blackboard, but we use these big stands that have a large paper tablet on it. On this paper or blackboard goes the questions that cannot be answered at that moment. The purpose is two-fold. You have a list to followup on later and they feel better, knowing there's a list that won't be easily forgotten. We also usually put the name of the person who asked the question.
Also, visual cues and images are great tools. Hand-outs, writing on a board, things like that. Some people can't visualize things in their head that well and need to see it.
And a lot of reinforcement that they are actually learning. I've had classes where we were constantly being tested. Answering questions aloud, graded homework, tests every week. It was unnerving at times. But I've also had classes with none of the above and found you may think you know the material but nothing will prove it better than doing it.
Taking five minutes at the beginning of class to review what you learned in the last class.
One last thing,
congratulations! I really enjoy teaching, it can be hard and it can be rewarding. Is this a step in a teaching career or a temporary thing?
Professur Luis.
