At boredom, you get the eyes wandering around …, but not frantically as in fear. Also, he won’t be avoiding looking at you. He’ll include you among the things he looks at. Here we have a “let’s not argue about it” attitude, a carelessness as to whether one’s conversation is being received or is even understandable. Boredom is not a state of inaction. It is a state of idle [not really going anywhere] action.