How does Faulkner allow them to characterize themselves through their monologues? What seems important to them?

The structure of As I Lay Dying is powerful and innovative. Fifteen narrators alternate, delivering interior monologues with varying degrees of coherence and emotional intensity. The language is intense and highly subjective, with a recognizable change in language depending on the narrator. Each section falls somewhere in the range from confessional to stream-of-consciousness. The novel is a series of interior monologues, and through these fragmented passages we piece together the story of Addie Bundren's death and the transport of her body to Jefferson.

The narrative appears fragmentary, but the story demonstrates admirable unity: it is limited to the span of a few days, and the different sub-plots are logically and skillfully interwoven.