In general? I've found, with my kids, that it helps immensely (in the general character-building sense) for them to do something they're not particularly good (read: pretty lousy) at. They get a healthy dose of being just one of the crowd (which is a lot easier at six than sixteen or twenty), plus they have the opportunity for feeling a real sense of achievement by working hard to become halfway decent at it. If it involves being part of a team, so much the better, because there are about a thousand other associated (lessons to be gained along the way.)
There's an old episode of Dinosaurs (from...maybe the early 90s) in which Baby Dinosaur's continuing phrase is "Am I in the story yet?" That's gotten to be a catchphrase here for trying to make oneself the center of attention-- a somewhat more polite and humorous warning that "you're being annoying, consequences will be coming soon if you don't knock it off RIGHT NOW".
The plus side, of course, is that if she learns this lesson well at six you'll hear a whole lot of people tell you how charming she is when she gets older!
