>Actually from what you say here it seems pretty likely that >you do know what linear independence _is_, but the >way you're stating the definition is totally wrong.
Right. That's my point. I *do* know the definition, but the phrasing always gets me. It's like this, probably, for a bunch of the main terms. Still, you say the number one problem is that students don't understand all the definitions. Is my understanding of "independence" then not good enough? Or is it?
> Next time you take the class try actually >_learning_ the definitions of all the important terms, >_precisely_.
OK, there's my answer, I guess. I've always had courses where professors emphasized that we don't have to memorize definitions and terms word for word, whether it's a foreign language course, a social studies course, an economics course, whatever. It seems like definitions are usually just things that you have to get the basic jist of. It's sort of unfair that math is different and no one warns us about it. But, like I said, I won't have the opportunity to try linear algebra your way because if I fail, it's my last math course ever. I think there may still be hope for me....