How does Scout solve her problem with Walter Cunningham Jr. in Chapter 3 of To Kill a Mockingbird?

Scout has had a rough morning on her very first day of
school. She has been reprimanded by Miss Caroline for writing cursive instead of
printing; she has been told that Atticus is improperly teaching her; and she has gotten
in trouble for trying to defend Walter Cunningham Jr. because he had no lunch money. To
her amusement, she was then "whipped" by Miss Caroline, who lightly tapped her hands
with a ruler before ordering Scout to stand in the corner. Scout blamed Walter for her
predicament, and she decided to solve the problem the best way she knew how--with her
fists. During the children's break for lunch, she proceeded to rub "his nose in the
dirt" in the schoolyard.