What is the role of men? of women?

em changes his attitude as he gets older, and he starts to feel like Scout should act a certain way, telling her "It's time you started bein' a girl and acting right!" (ch 4).

In fact, everyone tells Scout how she should act.  Her aunt thinks she should wear a dress and sit in on parties.

I could not possibly hope to be a lady if I wore breeches; when I said I could do nothing in a dress, she said I wasn't supposed to be doing things that required pants. (ch 9)

Aunt Alexandra has the stereotypical view of a girl playing with dolls and tea sets.

There are also examples of society’s attitudes toward women and girls when at the rape trial they want to clear the court-room because the topic is not appropriate for ladies.  Atticus also expresses a sexist view of women when explaining to Scout why women can’t serve on juries.