What does it mean when you catch a girl staring at you in class and she looks away when you notice?

Anonymous
So there is this really cute girl in one of my college classes and I recently noticed she has been staring at me. The other day I looked over at her and she was staring at me again and she immediately looked away. I started staring back at her and didn't look away when she looked at me, she would always just stare back for a second and look away again. She seems to have a quiet personality and I have never talked to her before because I only recently noticed the staring. I don't know if I should just do the staring game for a few more classes and make it more flirty or just make some reason to talk to her. I'm not much into the whole making up fake reasons to talk to a girl, I mess that up and they instantly know I'm just plain trying to talk to them. Maybe that's not such a bad thing, it usually works anyways because they seem interested before I even approach.

So, girls, why do you all play the staring game? And what do all of the different variations of staring mean? (i.e. looking away when we catch you and when we stare back how would you react if you are interested in us?)
What does it mean when you catch a girl staring at you in class and she looks away when you notice?
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