Thoughts on teaching multivariable calculus

In my last semester of MIT I led a recitation (i.e. twice-a-week review) session For those of you that don’t know how the system works, at MIT, 18.02 is a huge class with 400 to 500 students (mostly first-years). In order to make sure students actually get the individual attention they need (impossible during lecture), the math department also places each student in a recitation section of about…