I am one of little faith. At the high school level, there's really only so much that can be done without the instructor understanding the end-game. It's just fu

I am one of little faith. At the high school level, there's really only so much that can be done without the instructor understanding the end-game. It's just fundamentally difficult for an algebra teacher to effectively teach algebra is they haven't really groked any group or ring theory or linear algegra. And it's really hard for a Calc I instructor to teach effectively without having really mastered some elementary analysis. Especially the second one. I'm not sure what a calc I teacher is supposed to say if a student has any foundational questions, which any bright student probably will.