What I would like to offer to students is what I wish was offered to me when I was a student: clear explanations that don't rely on memorization. Back in my student years, there were many times when I was struggling with various concepts for weeks or months until I finally found my own explanation that was not in a textbook. When I discovered how different seemingly unrelated concepts I was asked to memorize were actually logically tied together in a neat picture, I had a sense of a...
What I would like to offer to students is what I wish was offered to me when I was a student: clear explanations that don't rely on memorization. Back in my student years, there were many times when I was struggling with various concepts for weeks or months until I finally found my own explanation that was not in a textbook. When I discovered how different seemingly unrelated concepts I was asked to memorize were actually logically tied together in a neat picture, I had a sense of a breakthrough. I would like to help my students experience the same thing, without having to wait for months to get lucky: I would like to teach them in a way that this is apparent from the get-go.
I have two PhD-s, one in physics and one in mathematics, and I feel equally comfortable teaching both subjects.