My personal philosophy towards teaching is to meet the student where they are and to try alternative techniques that will best suit the student to succeed.

I would introduce myself and my background, as well as get some information from the student. I would try to speak with the parents, if possible, to gather information as well. I try to come up with some goals with the parents and students, and determine the immediate needs of the student (i.e. upcoming exam or homework).

You can help a student become independent by helping them understand not just how to solve a problem, but why. Also, linking them to places where they can get answers on their own or go for additional help. I also like to come up with tricks that will help the student remember a way to solve a problem.

I would help a student stay motivated by providing them positive reinforcement and encouragement. I like to build on what a student already knows, and then, moving forward from there, to their ultimate goal.

I would try to access where the issue is. Typically, you must go back to something they already learned that builds on the skill they are trying to learn. I would also find different techniques to teach a skill until we find the right fit.

I would help them become excited by trying to find ways to relate the subject matter to their interests or by building upon small successes. Positive feedback is always a good way to help build confidence in a student.

A good way to evaluate a student's needs is to look at their past work, speak with a student's parents and the student directly. Also, I would start out with some practice exams and quizzes in the subject matter to gather a student's strengths and weaknesses.