If the guy you date doesn't ask you?

I've been on 3 dates with a guy who supposedly liked me for awhile. I finally discovered recently that I liked him too and it's been growing for awhile in the back of my mind. I noticed he never asks me anything about myself. I've mentioned this more than once. He'll temporarily correct it, then... nothing. He's really comfortable going into detail when I ask him something. He's fine telling me about himself. I talk about myself too, then realize that he didn't ask. Tonight I purposefully didn't talk much, waiting, and waiting... nothing. I don't understand. He seems happy to be dating me. He's even told his friends and our mutual friends. I've heard that he's very pleased. He doesn't have much experience dating or with women and I wonder if he's just excited to have a lady who likes him, rather than ME. He honestly doesn't give a doggone about getting to know ME. What would you do? What do you think? Help.