In To Kill a Mockingbird in chapters 29–31, how does Scout demonstrate maturity?

In chapter 29, Scout tells Sheriff Tate the events that took place on her way back from the school pageant. As she looks at the man standing against the wall that saved her and Jem, she fights back tears and says, "Hey Boo." Scout has ventured far from her days of thinking of Boo as a monster. 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. She escorts him to a chair in the shadows because "Boo would feel more comfortable in the dark." She remembers her manners and speaks kindly and respectfully to her visitor. Scout also proves that she listens to her father. Near the end of the chapter, she refers to a lesson Atticus once taught her. Scout says that "it’d be sort of like shootin‘ a mockingbird" to involve Boo in the case with Bob Ewell.
In chapter 31, Scout holds Boo's hand to guide him through her house. When he wishes to go home, she recalls, "I would lead him through our house, but I would never lead him home." She instructs Boo on how to hold his arm so that he can be the one to escort her as a "gentleman would do." Scout proves she can be a proper young lady when the need arises.