Early in the novel “When You Reach Me,” which last week won the John Newbery Medal for the most outstanding contribution to children’s literature, the narrator, Miranda, falls into an uncomfortable conversation with a schoolmate about her favorite book, “A Wrinkle in Time” by Madeleine L’Engle.

Miranda, who is 11, doesn’t want to have the discussion. “The truth is that I hate to think about other people reading my book,” she thinks. “It’s like watching someone go through the box of private stuff that I keep under my bed.”

—Motoko Rich