How does Jem and Scout's relationship change as Jem grows up in To Kill a Mockingbird?

At first,  is
the "little sister"  takes to school and advises. At recess on the first day of
school, for instance, a disgruntled Scout complains to Jem about her teacher Miss Caroline. Jem
tries to allay her fears, telling her not to worry because his teacher says that Miss Caroline
is introducing a new method of instruction called "the Dewey Decimal System." (He has
mistaken John Dewey's pedagogical method with the system of arranging books in a
library.)

InJem reassures Scout as she begins second grade, telling her
school gets better as she advances.

Jem is the voice of wisdom to Scout at
times. For instance, when Scout attacks Walter Cunningham by rubbing his nose in the dirt for
causing her to be punished by Miss Caroline, Jem stops her and invites Walter home to eat with
them at noontime.

In another instance, Jem scolds Scout for taking gum from
the Radleys' tree's knothole.

As the protective older brother, Jem allays
Scout's fears at times. In one instance, he...