I don't think it's weird or shameful. It's very healthy, in fact. Boys and girls both learn to pleasure themselves through masturbation, so that they can teach future lovers. It's how you get to know your body, and being comfortable touching yourself will also help alert you to any problems you might encounter in your breasts or genital area that you might not feel without touching.

I didn't see the Oprah episode with Dr. Laura Berman (or is it Jennifer? I get the two mixed up) last week on sexuality, but I saw a clip the next day when they discussed several topics. She said something really great. She said that if we teach our daughters to masturbate (meaning letting them know it's okay, and perhaps getting books or materials to help them understand their body and sexuality), it helps them to understand they don't need a boy to create those feelings, and will be empowered. If they don't, and think it's the boy creating all those feelings, they might be more likely to attach to boys in an unhealthy way, have unprotected sex, and get with the wrong boys (boys who will use them and mistreat them). This isn't to put down boys, but to show the girls that they can create these feelings themselves, and to help them make smarter choices about sex and boys.

She suggested getting a clitoris vibrator for girls when they're 15, but I'm not as sure about that suggestion. I'm not anti-vibrator or anything, but if they're not old enough to purchase those things themselves, I wonder if you could get in trouble for ordering them for them?