Should I ask her again to go out with me or wait for her next step?

What can I understand from a girl strange behavior near me? I like this girl A LOTso I have asked her out 6 month ago. She said “no”. We remained friends since that time for several months. But, now she’s acting very strange near me. She can talk simply with all the guys out there but when I’m near by she is stressed and looking for my attention all the time, trying to develop conversations with me and say such obscure phrases.

What am I supposed to understand from her behavior now? I don’t want to ask her out again, I want her to ask me out if only she really want me this time.

Today we talked about books I read and she asked me if I can bring her the book I’m reading now. She said she likes the same books I’m reading. We found that we have the same Hobbies. Interesting!