In The House on Mango Street, when describing her house or where she lives, what does Esperanza convey about her self-identity?

I believe that this question is asking about Esperanza's description in chapter one. The general description of her family's house on Mango Street is honest with a heavy dose of pessimism. Esperanza tells readers that she knew that her family would one day have a "real house." She then describes an imaginary house that resembles the houses that she sees on TV. Esperanza desires a house that she can proudly point to as her family's house, and the chapter ends with her saying that the house on Mango Street is not that house.
This notion of being able to point to a house with pride lets readers know that a part of her self-identity is tied to the quality of a house. It's a materialistic worldview. She believes that a higher quality house will somehow make her a better, more desirable person. By living in an embarrassing house, Esperanza incorrectly believes that she needs to be embarrassed about herself too.

You live there? The way she said it made me feel like nothing. There. I lived there. I nodded.