@salma00712,
If he's starring yet not initiating, then he may be very shy. In which case starring is his way of communicating that he is interested without having to approach and talk to you.
I think many of us guys are more afraid of rejection than we are of running into that Texas Chainsaw dude.
So, when you catch him starring, smile and wave.
Sit right next to him in class. If you have assigned seats, coordinate your exit from the classroom such that you are walking right next to or in front of him.
Once you take away his fear of rejection.....