Maths tutor, from Secondary School to Calculus

I am a software engineer and have a degree in computer science and have done part of a degree in physics, which are both mathematics-intense disciplines. I like to do mathematics just for fun and have been tutoring privately for at least 4 years. I like to explain things the way I would've liked somebody explain them to me in school, that is, understanding the fundamentals, I don't like memorising procedures but understanding why things are the way they are in mathematics. For instance, with me you will not be memorising formulas that don't make any sense which takes all the fun of what really mathematics is about, but you will be be able to understand how to come up with these formulas on your own.