As regards Edu being primary to learning, I have to disagree. I've known several who could fairly be put in the Edu 2 range (well, maybe more than 2, but low) who also have remarkable skills...
An expert mechanic for one (Mech, Elec, etc.), some excellent athletes (Sport skills, and including Medic), more than a few farmers (also including excellent Mech, Elec, Computer, Commo, etc., etc.), some long-haul truckers (Driving of course, but also Nav, Admin, Mech, etc.).
I've also known a few high Edu people who had no clue and little aptitude when learning some (primarily physical) skills. Gifted at book learning and memorizing stuff or doing higher math, but not so much at some skills.
EDIT: Come to think, I'd say it might make more sense that some skills have a prerequisite stat level. Rather than seeing your Edu go up for learning Science I'd say you'd need a minimum Edu level to learn a Science skill level. And it might well apply to other skills and stats too. It'd be pretty hard (impossible) to become a high level athlete in some sports with low physical stats.
EDIT 2: Qualified the note about math skills above, I meant higher math, calculus and beyond, not basic math