Ok, a bit late, but since you would like more input, i ll give it a go anyway. i didnt read all of the replies however, so i might be saying the same thing.
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I just moved to CA and started at a new college junior level transfer. Met this girl in my english class one day we do a paper peer editing. We get along great, she gives me many indications of interest (age, why I moved, who I live with, what classes) without me ever even giving her my name or asking for hers. She offered to give me her e-mail so she can send me her paper later on. Few days later we exchanged a few emails regarding the paper that were flirty. A week passes by and after class I offer her a ride home and she accepts, when I drop her off, I ask her to dinner and this is where is gets tricky. She said yes and gave me her number, made me call her so she would have mine. Class would be cancelled for the next week and a half so I wouldn't see her otherwise. This was on a Tuesday. On Thursday I call, and no answer, leave a text "Hey ___, this is Machiavillain. Hope you enjoyed your day off! Give me a call back when you're avaliable" No reply so I called again on Sunday. No answer. Went back to class and she started the conversation the second she saw me. "Hey did you finsih the book? Did you like it? What'd you think of it" since we had to read a whole book we had time to talk about it at the beggining of class, she sat next to me and talked the whole time, still asking questions. Throughout this whole time, I did not bring up once anything about the week off, or the why she didn't pick up. Class ends and before she leaves she comes up to me while I'm still at the desk and says "I'll see you thursday!"
the asking for a dinner was wrong. it is not the fact that you ask her for dinner that is wrong. it is the reason behind it. you offer her a ride, she accepts. you ride her home (i dont know what happened in the car, but i can figure it was mostly flufftalk and some question game...?). She accepted the ride and when you drop her off and you ask her for dinner. You both know why you asked her, but you know because you are you and she knows because of common sense. She accepted the ride and you probably (i do say probably) saw that as a very good thing, as in, she might like me. I dont know, i am only assuming here. So you want to press your luck and ask her for dinner. But did you say out loud why you want to have dinner with her? Did you say something: 'you might be a person i like; i want to get to know you. Lets go for dinner' or 'i find you amusing and would like to fuck you, lets go for dinner first'. No you probably didnt, and why didnt you do that? Perhaps because you thought that your intention was implied.
But if not so, then why the hell did she accept if she doesnt like you that much yet? Well, you are obviously a nice guy, you gave her a ride home, saying no in your face would be rude... at least in her mind. she knows you like her, but she doesnt know why. kinda hard to explain, but she probably has something like, he doesnt know me and likes me just because i look good. She might find it shallow. So i would suggest next time, be a tiny bit more direct. i like the fact that you dont seem to be afraid of going for what you want, but i would say you need a bit more of that directness.
Furthermore, I get a feeling of neediness when you write about the calls. Calling is good, i like it better then texting, to me it feels like its more personal. But the entire calling situation has an air of you being afraid that she will flake and you need her to reassure you that she wont. One call would have been enough. I see it like this: you called her once and asked her to call you back. then it is up to her.
You need to be able to put it beside you. It is up to her now. its somewhat a moment of truth. it shows your progress

. But as advice here i would say: be patient and let them come. When they dont come, dont freak out. you did that very good!
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Maybe I made a mistake by giving in and offering her a ride home? Cat String?
I dont think it was a mistake. You can be helpful and friendly, but then stick to your guns. You asked her to drive her home, just that. And so will it always be perceived, as something you do out of kindness. Never believe she lets you drive her around because she is particular fond of you, but i think you get that. Never hand out favours and expect more because you did the favour. However, driving her home can give you the opportunity to develop a genuine interest in her. Suppose while in the car you ask: so, beside studying, what do you do? and she answers: well, at night i am highly trained ninja assassin killing off bad guys who have been released from prison. Then is totally ok for you to say: "holy shit, that is awesome! i want to know more from you because i didnt see that in you. Lets go for dinner to get to know each other more. ". As a pua, you need to be able to mold the situation in such a way so that you can discover these things, if you know what i mean. if not, ask again, i ll go deeper into the subject.
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I absolutely agree that college girls are probably the most confusing. But I also understand that in college we have countless opportunities with different people. We ourselve may have done this... The point is: they are indecisive and appear confusing because of all the options they have. If this is the case, a PUA must be the one with the best game to make her decission easy.
they are not that confusing if you go straight for what you want. They might have many opportunities. But you need to be that guy that is different from almost every other guy. You need to understand that emotional healthy woman crave good long sex on one side, and that they need to be an example of chastity towards to outside world. However, there is a difference between knowing hte path and walking the path (thank you matrix-morpheus for that quote). By that i mean that knowing it but not doing something with it, doesnt get you any further. you will see that college girls are not that confusing anymore once you understand that they want mind blowing sex. And if you give it to them, they will not let you go easily. In that way, a pua most indeed be the one with the best game. In my opinion, a pua goes straightforward for what he desires, is honest about what he desires and he makes use of the fact that woman want freaking good sex.
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So what's the next move? and more importantly, what went through her head?
the next move should be taking a step back. Live your life and see her as an acquaintance, until the opportunity presents itself to discover something about this girl that you genuinely like. then escalate again. Dont befriend her, but dont get too distant either. An acquaintance
i hope i made some sense here. if not, shoot!
cheers and good luck!