I have had a passion for mathematics since my primary school days and still love teaching maths-based subjects.
I am currently studying Masters in Electronic Engineering and we use a lot of complex mathematics to solve many problems.
I have a very good understanding of many basic concepts in Maths but try to use existing curriculum (given textbooks or set of topics) for the trainee to ensure that the trainee gets the actual knowledge required for that level. This curriculum will guide me regarding where the trainee is at and the goals to be achieved. I can do long-term training as well as some quick lessons to prepare that trainee for a forthcoming test or exam. Each method is different as the objectives are different but the result is expected to be a success.
I use a lot of scenarios to keep my teaching interesting and try to use simple things that the trainee is familiar with to communicate my topics.
One thing i will always communicate is that my goal is to help the trainee/student to understand what is being taught. That willingness is essential to develop the learning environment that ensures success.
I have taught people who absolutely didn't want anything to do with maths before and i can say that many of them are working or studying somewhere where maths is applied at various points. This is just to prove that once the willingness to learn is there, joint success can be achieved by the trainee and myself.