So what was precalculus, again?
As the first math teacher in a brand new school (9 years ago), I’ve had a bunch of time to consider that question. It’s sort of a mess.
There is no branch of mathematics called “Precalculus” (there is Algebra, there is Geometry, there is Trigonometry. Hmm, there’s not really Calculus, except for The Calculus, but there is Analysis. Maybe we should rename Calculus as “Beginning Analysis (with actual functions and numbers)”)
So what belongs here? And why?
Doing it just because we’ve done it before is a fairly lousy reason. I want to steer clear of that.
In the next days and weeks I will describe different approaches and variations we’ve taken. This year we made some changes, I’ll go into those as well, and the results seem positive. Emphasis on “seem.” I still want to ask, “what was precalculus again?” to have some sort of yardstick to measure our progress against.