I've always had a knack for math - all levels. I completed all of college Calculus in high school. I also really enjoy math. My teaching method does change depending on what the student needs, and I am always prepared to teach in multiple ways to fit different learning styles. For me it's more important to adjust to the student's way of learning versus the student adjusting to how I teach. In general this is how I usually approach tutoring math and physics.
I tutor math through example problems and practice. The more they practice, the more comfortable the student becomes. I provide varying levels of problems too. I come prepared with a few problems to walk the student through and then problems for the student to try on their own. If they get stuck I ask questions about their process to help them find where they went wrong; that way when they have to do it on their own on a test or exam they have a method of checking themselves. I, of course, will point them in the right direction and give them pointers throughout, and help them if they get completely stuck. The goal isn't to frustrate them, but to have them enjoy figuring it all out.
For Physics I generally tutor the same way as math, but I do include diagrams and involve examples from the everyday world (like a pool table for how collisions work and the conservation of energy/momentum). I have found when a student can visualize the situation it is easier to determine how to solve the problem.
I have tutored high school students mostly in AP Calculus (both AB and BC) and high school level Physics (algebra based). I have also tutored Calculus based Physics to fellow Columbia college students. In addition to tutoring coursework I have experience with the Math SAT (I & II) and with the AP Calculus Exams.
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