Between chapters 6 and 12 the reader is learning more about Scout, and Scout is learning more about people.
First of all, Scout learns more about her brother Jem. Jem is growing older, and beginning to grow apart from Jem. This usually manifests itself in his annoyance about her being a girl.
"Scout, I'm tellin' you for the last time, shut your trap or go home- I declare to the Lord you're gettin' more like a girl every day!" (ch 6)
Scout learns more about her brother when he accidentally leaves his pants at the Radley House and goes back to get them. She does not understand why it is so important to him that Atticus does not find out.
It was then, I suppose, that Jem and I first began to part company. Sometimes I did not understand him, but my periods of bewilderment were short-lived. This was beyond me. (ch 6)
Scout also shows maturity here because she realizes that she does not understand Jem, and that shows growth. Scout tries to put herself in Jem’s place.
In chapter 7, Scout and Jem begin finding gifts in the Radley tree. These, in addition to the folded pants, demonstrate that Boo is starting to connect with them more. Although they do not know who they are from at first, Scout begins to see Boo as a person and not a monster. When Boo puts the blanket on Scout’s shoulders during Miss Maudie’s fire, they all realize that Boo is helping and Scout comes to understand him.
Scout is amazed that the fire that destroys Miss Maudie’s house does not destroy here spirit.
Miss Maudie puzzled me. With most of her possessions gone and her beloved yard a shambles, she still took a lively and cordial interest in Jem's and my affairs. (ch 8)
This is another life lesson for Scout, because she comes to see that people and one’s health matter more than possessions.
Finally, in chapter 9 Scout learns one of the most important lessons when she gets in a fight at school because kids are teasing her since her father defends Tom Robinson, a black man.
"Simply because we were licked a hundred years before we started is no reason for us not to try to win," Atticus said. (ch 9)
This is of course one of the most important lessons Scout learns. Society is not always kind to those who are different, but each person needs to find his or her own personal strength.