Girl always stares. Then why does it seem like she doesn't want to talk to me?

She always turns her head around to look at me. A few times, I've seen her go out of her way to walk past me. Like she'll be talking to someone and look at me when she's talking and when she's done talking she goes right past me without looking at me. But when I try to start a conversation with her I'm always the one asking the questions and she's just responding to them. She never seems to want to continue the conversation. I don't get it. by the way, I feel like I need to mention that she rejected lunch with me. I asked her to lunch about two weeks after getting her name. I am so confused. She literally looks at me all the time and has gone out of her way to get me to notice her but she never seems to be interested in talking to me. And last point, this isn't a shy girl.