(Virgo Women) I Need help with a Virgo Girl

Ive known this virgo girl for six months and I cant tell If she is shy or is just uninterested when we first met she always laughed at my jokes and still does, when we pass each other in the hallways she always smiles and waves she always sat beside me in class when she could and asked to work with me on one occasion some days she was excited to see and other days she does'nt say anything to me and there has been a few days that she has playfully hit me or touched but one day I asked her to be my partner and she said Im working with someone else sorry also me and a couple of guys were watching videos so I asked to watch them us and she did not sit in the seat next to me we arent really friends and we do talk but I have never had a conversation with her cause I dont know what to talk about with she was excited when she found out we have a another class together but I dont think Ill have a chance to talk to her because her bestfriend is in that same class
I would like to know if she is shy or doesnt like me and where do I go from this point to get her to be my girlfriend and what do you think happened/why is she acting like this.

I'm a virgo and going by what you described she does like you but perhaps just a little shy, so a good start. When it comes to virgo girls subtlety is important at least initially, as we don't like when people coming on too strong, but slow and steady will win the race. She needs to know you're interested though so do let her know that you want to get to know her and be her friend, just remember to be patient and don't act too pushy. It takes a while for us to trust you and to figure out how we feel about you but once we do, you'll have yourself one of the most sweet and loyal partner.. Try initiating a conversation first to see how she responds and take it from there, good luck!