How does the "friends first" approach to dating work?

Up until about two weeks ago, I was going out with this girl. She ended things when she said she wanted to work on building a friendship first, as that's the way she's always dated. She's been friends with the guy first. I tried that for a while and maybe I just wasn't doing it right. I don't know. How does being friends first work? I don't take that approach simply because when do you know it's the right time to make the move? And if I'm into someone and I feel attracted to her, why should I wait until we're friends to ask her out?
How does the "friends first" approach to dating work?
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