One of my professors, while an extremely competent physicist, chose to focus far more on the "philosophy of teaching". Sanjoy's metaheuristic approach to teaching, tooling it like a hard science with real analysis of the effect of differing methodology resulted in a fantastic class, called "The art of approximation". Turns out the 80/20 rule can be stretched in so many different ways!
This is the textbook, and it's one of the few books that's actually changed my life. https://ocw.mit.edu/resources/res-6-011-the-art-of-insight-i...