The examples I gave were random, non-consecutive questions
Oops, I took them to be a consecutive sequence of questions. Somehow I envisioned an exchange like
AoPS teacher: It's a circle. Now, class, what do we draw in a circle?
Students, in unison: A quadrilateral!
which I took to be of the same ilk as
B&M teacher: It's Thursday tomorrow. Now, class, what color do we wear on Thursday?
Students, in unison: Purple!
(Don't ask me to explain how my brain works. I can only give examples.
)
Yes, they read from the book outside class, as I said in my very first post.
I've reread it now. With all the comments I think I have a clearer picture of how AoPS works, and I'm sure it works well with their target audience.
So we'll pick a course this summer and try it. I say we, because we'll definitely attend all sessions live and I'll be sitting right there, probably typing, absorbing everything to maybe explain later, and just observing AoPS as an interested mathematician/educator.
