@Cuteshygirl,
When did he mention his girlfriend? Could it be that they've since broken up?
Couple of other points:
It sounds like you're at a U.K. university. I don't know what it's like there, but here in the U.S. teacher-student affairs, even outside of a mentoring relationship, can lead to big trouble (especially for the teacher). Besides, if he's using his position as a tutor to get your attention romantically, well, it's kind of sleazy, isn't it? How do you know any of those comments about your academic ability are actually true?
Second, I know it's probably hard for you since you're shy, but you need to work on your eye contact. If a woman I like doesn't look at me when I talk to her, I immediately assume she's not interested.