Waverly's attitude towards her mother changes. At first, her attitude is one of a typical child. She loves her mother and all is well. There is nothing noteworthy. Things begin to change, however, when Waverly masters chess.
As she begins playing chess, she quickly learns the rules of the game, and she excels. In fact, she begins winning every tournament. She even makes it onto the pages of Life Magazine. Understandably, Waverly's mother becomes proud. When they are at the market together, she boasts of her daughter. Waverly at this point loses it. She is incensed, as she feels exploited. So she runs away for a while and comes back home in fear. At this point, we can say that her attitude towards her mother is one of anger.
Finally, as Waverly lies in bed, she sees her relationship with her mother as a chess game. She in pondering her next move. At this point, her mother is an adversary.