Why does this shy girl act awkward around me?

I have a crush on her and she's in a class with me. I've talked to her once about school and she's shy so I kinda backed off. She never has talked in class since and whenever I see her and we make eye contact she smiles shyly and walks away. She probably knows I'm checking her out. I don't know if this smile is a stop looking at me, being friendly, or come talk to me. I saw her sitting alone at the coffee shop on campus and I wanted to sit next to her but didn't rather sat next to a friend of mine. We made eye contact once cause I got caught looking at her.
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I don't know how to handle this cause it's a mixed bag of signals.
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Update.
Why does this shy girl act awkward around me?
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