For a lot of subjects, it's hard to beat school. You need constant feedback to improve in most areas, and good feedback is hard to come by without paying. I would recommend against trying to learn how to write a proof without a teacher as much as I would against learning piano. (I've tried both.)
I've been taught more things than I've learned on my own, but of the things I've learned poorly, most where things I learned on my own.
Looking at your other posts, it sounds like high school has tainted your opinion of schooling in general. However, college is Hard. A lot of people from my school make big bucks and find the rest of life extremely easy in comparison.
As a continuation of the original Welcome thread (if you haven't gone there, go there fist) I think we need a separate introduction thread for highschoolers.
Who: As a demographic, I think that we can probably be characterized by:
1. Our newness to LW.
2. Our uncertainty about which college or career to choose.
3. (if we are in a public school) Looking for ways to game the system (because we're not learning much in it).
4. Our potential to make a huge impact (the best advantage is an early start).
5. An lack of face to face interaction with intellectual people.
Why: I can think of several things this could help highschoolers with.
1. See where you stack up compared to others your age (We're probably all big fish in small ponds. At least I am. Let's get an idea of what the big pond is like).
2. Make friends with people like you.
3. Consider college and career ideas you hadn't considered before.
4. Perhaps find people to apply with for the Thiel Fellowship.
5. Find a chavruta to go through the sequences with you.
What: Tell us the following:
1. How old/what year are you?
2. How have you tried to enhance your education beyond what's normally offered at schools?
3. How many rationalist/philosophical people are at your school/family?
4. What careers/schools are you considering?
5. Are you going to apply for a Thiel Fellowship?
6. EDIT: link to your old "introduce yourself" post.
If you're not in highschool, tell us what you would have told your old highschool self.