l’amour question. What does this mean?

My boyfriend and I were at a basketball, basket-ball game at school. We've been dating for a few days. He got closer to me, and put his arm close to me. i held on to his arm, then he began blushing. A student began to talk to him, so we had to break apart.
Once they finished talking, we were far apart. He got closer again, then put his arm close me again, he wasnt making any eye contact with me. I held on to it again, then he looked at me and smiled. What does this mean?