Physics Graduate Student with 3 years of experience teaching undergrad Physics at Texas Tech. Lives in Lubbock and tutors mostly Undergrads, but have taught High School students in the past.
I'm a graduate physics student who is close to graduating. I've been a Teaching Assistant who taught Physics for Engineers (both Mechanics and E&M versions), Physics for Pre-Meds (Both as well), and have done outside tutoring for students outside of my classes and inside my classes.
My method really is incumbent on the student and what he/she wants out of the interaction. Some like me to go on tangents and introduce new and relevant information, some want me to stay on topic and only spend my time on a particular subject, and some just want answers to their homework. Just to be clear, I, on principle, don't tutor students like the last example for much long.
Because of my knowledge base and close proximity to most of my student's age, I tend to mesh very well and can translate information that otherwise was hard to understand from a teacher or lecturer who they received it from. (Though after 3 years, I'm pushing myself further from my target student's age group. Haha.)
$40/hr was decided on more because time is a valuable commodity for me and I need all that I can get my hands on as a graduate student. With that said, usually when students tutor from me, their peers hear about it and are interested as well. So having multiple students decreases the individual hourly rate.
Discounts due to education level is on a case-by-case basis. So I can't guarantee that.
Also, I live very, very close to Texas Tech and I have an office for my research where I do most of my tutoring. If not, the library is also an option. I just don't want to have to travel too far away from that area. But, again, it would depend on the student and the immediacy of the help needed.