My boyfriend and I are in the same class, usually in the classroom always stick together, get along especially comfortable. But as soon as we step out of the class, I don't know how to talk, what moves to make, whether to hold hands or not, and I'm especially apprehensive. I'm scared to go out with him because it's easy to get cold and silent, but I don't want to and I don't know how to break it. He has an ordinary appearance, I'm not bad looking just short, only 150cm and the top of my head only reaches his shoulders. I'm always worried about being pointed out by passersby when I go out, so I rarely ask him out. He's also a bit socially intimidated and I'm not very good at dealing with that, it really bothers me and I don't know how to get over that hump.
Thank you for this encounter.

The owner mentioned classes, not sure if they are middle school or college level, so here are some personal thoughts to share for your consideration.
1. You can be naturally close in the classroom, but you are overwhelmed outside the classroom. It may be a good idea to feel and think about the difference between the classroom and out-of-school environment. What do you feel or think differently inside in these settings?
2. Fear of going out and being talked about. What specifically are you afraid of people talking about? Maybe we don't care about what our acquaintances think, but instead are more worried about what strangers will say?
3. Everyone needs a balance of socialization and solitude, and the same is true of romantic relationships.
4. If you can only be a couple in class and become formal when you leave the house, then perhaps you should ask yourself what your heart really desires.
I hope these suggestions will help you. Have fun getting along.