The title refers to Jing-Mei’s epiphany about mother-daughter relationships. Jing-mei remembers two different songs, when in fact they are part of the same song. The song is a metaphor for childhood, because we are sometimes content and sometimes pleading, and childhood is about balance.
The "Two kinds" are two kinds of daughters. One is obedient, and the other is not. These two pieces of piano are part of the same song. When young, Jing-mei acted as a "Pleading Child" begging for the approval of her mother. When the daughter became an adult, she became "perfectly contended" and pleased with what she is.
Including too much information in a summary is a mistake people make while writing summaries, since summaries are supposed to be short however have a meaningful message, and include all the important information. Hope this helped! :D
