Three examples of Jem showing maturity in To Kill a Mockingbird are when he refuses to leave Atticus with the lynch mob, when he invites Walter Cunningham to their house for lunch, and when he protects Scout from Bob Ewell's attack.
One quote that demonstrates Scout's maturity in To Kill a Mockingbird can found towards the beginning of chapter 28, when she walks past the Radley residence at night. Scout tells Jem, "It is a scary place though, ain't it?... Boo doesn't mean anybody any harm, but I'm right glad you're along" (Lee, 258).
The overall message, or theme, in To Kill a Mockingbird is that every human being deserves to be treated with dignity. In the beginning of the story, we learn that children should be treated with dignity.
She shows growth in her maturity by realizing Boo is a generous man that risked his life to save hers. In chapter 30, Scout provides further evidence of her maturity while showing Boo to the front porch.
Scout loses her innocence in To Kill a Mockingbird when she watches the jury deliver a guilty verdict in the Tom Robinson trial, despite the overwhelming evidence that Robinson is innocent.