I've found online that this question refers to Amy Tan's short story "Two Kinds".
Answer and explanation:
In "Two Kinds", Jing-Mei changes from a child who wants to obey and please her mother to a young woman who is not willing to be controlled.
At the beginning, Suyuan, Jing-Mei's mother, wishes her daughter would become a child prodigy. Jing-Mei goes along with it since she thinks she would enjoy being the center of attention. That is also a way to make her mother happy and proud of her. They try Americanize Jing-Mei's looks and find a talent for her. In the end, piano is chosen.
Jing-Mei, however, lacks the perseverance to become a prodigy. She is overcome by laziness when she realizes hard work is necessary to learn to play. She performs terribly at a piano recital, to everyone's embarrassment. Yet, her mother does not give up, very much to Jing-Mei's surprise. That is the moment when their individualities clash. Jing-Mei finally realizes she no longer wishes to please Suyuan by becoming whatever is expected of her. She is her own independent self. To make sure she is never again controlled by her mother, she chooses to remain average for the rest of her life.