Does this shy boy like me?

If he is smiling and looking down at the same time, means that he likes you but he's playing it shy. You should look at him at the corner of your eye and see if he's looking at you, but if he hurries up to look down and smile after that, then that's a good sign that he likes you. Spend time with him as much as you can. Talk about something y'all have in common, don't be afraid to ask questions.