What is the author of "Hoot" trying to say about how people should act when confronting different problems?
One of the things that the author is trying to say is that problems need to be confronted directly and rationally. Roy does this when he goes over to Beatrice in the cafeteria to find out why she is behaving so antagonistically towards him. Beatrice is "in a state of shock" at being approached in this manner, but the two of them manage to "talk about (their problems) like civilized human beings" (Ch.4).
The author also says that it is important to maintain a clear head, and a sense of pride and courage in meeting crisis situations head-on. Roy remembers a time when he maintained his ability to think rationally and escaped alive from an encounter with a bear (Ch.5), and he bravely and in a dignified manner acts proactively in trying to defuse his situation with Dana - "he didn't particlarly enjoy getting roughed up, but the alternative was to cower and beg, which he couldn't lower himself to do" (Ch.8).
Sometimes, in tackling a problem, the best course to take is not clear. The author, through Roy's mother, explains what a person should do in these situations. Roy's mother says, "sometimes you're going to be faced with situations where the line isn't clear between what's right and what's wrong. Your heart will tell you to do one thing, and your brain will tell you to do something different. In the end, all that's left is to look at both sides and go with your best judgment" (Ch.13).