I taught my first university course last Summer. It was integral calculus that usually has about 200-300+ students during the school year, but my Summer class had only about 35 students. I taught by lecturing during the whole class time. I am teaching again this Summer, but I really want to try something different. The main reason I want to avoid lecturing the whole time is because I thought about my own math education and how I hate sitting through lectures. I actually slept through most of the calculus lectures I attended as an undergrad.
I think that because the Summer courses are a lot smaller, I can try other methods of teaching besides only lecturing.
Here are a list of things I wanted to try this summer for my integral calculus course:
1) Lecturing for short periods and then giving the students a problem about the short lecture and letting them work on it for 5-10 minutes 2) Lecturing most of the time and leaving a period at the end to work on problems 3) Have the students present problems during lecture time
I was wondering if anyone has other suggestions or different ways of making class more interactive that has been successful.