Are you serious!?!??!?? I tutor for a Calculus I class at my high school... Anyway, the students were doing stuff like sketching possible graphs of f(x), given a few values for the first and second derivative of f(x). So there is a kid in the class who has an A, and today he told me that he was confused. He asked me what the graph does when the first derivative is positive. ... ... ... How can someone have an A in a calculus class without understanding what a derivative is? I casually explained to him how graphically, derivatives represent the slope of a function at the given point. He was like, oooohhhhh ok. WTH? I wish I actually had some time with a few of these students and not just 1 minute encounters during which I can't actually help that much. I hate it when I see the teacher "explaining" things in such a horrible fashion... bleh Out of everyone in the class, there seems to be only one student who understands this. It's this one girl who gets 100%s on all of her tests. I've shared some conversations with her and she actually knows her stuff... EDIT: The worst part is that only 3 students have an A in the class. This means that people below the A must be doing REALLY bad.