What are the sins the mayor did in act one?

The Mayor tells the Inspector of Schools to corral his teachers, whom he finds very odd and too radical. He once saw one of them making very strange faces, and he wouldn’t want the inspector to be offended. He also saw the history teacher get so worked up about what he was talking about that he smashed chairs. The Inspector of Schools sighs that he has tried to point these things out but nothing works. He doesn’t envy teachers, who are always “scared of putting a foot wrong” and that “everyone wants to prove he’s as smart as the next man” (224).

The Mayor doesn’t care about that, and his thoughts go back to how the inspector will be incognito.