Most Helpful Guy
Don't listen to your mother. I don't mean to be rude, but she's probably bitter from all of her missed opportunities because she didn't approach. Many girls will tell you not to do it, because they themselves don't want to do it, and they don't want to be overshadowed by girls who DO do it.
Take it from a guy. Guys love to be approached. It's flattering.
The idea that if a guy likes you he'll definitely approach you is bull. He could be shy. And even confident guys don't approach all the girls they'd possibly be interested in.