The structured analytical thinking style the subject fosters provides students with the ability to see a problem, find a way to wrap their mathematics around it, and come up with a solution that is not readily apparent at first glance. I try to I convey my enthusiasm for the subject to the students so that they too can be interested in the course and see it not as just fulfilling a requirement, completing assignments, and taking exams. People learn at different rates and through different methods. Some people need to see the same material several times before comprehending it. Others need less exposure.
People learn best through different channels.
Some are auditory learners and rely heavily upon lecture. Some are visual learners and can pick up ideas through reading books. Others are kinetic learners and need to work examples before understanding the concepts. Throughout the whole learning process, a TA needs to be patient and understand that to teach the material it will require repeating the same concept using different methods of conveying the concept until the entire class understands the material. I have used several different methods in an attempt to convey a concept.