To Sophia, I (the Tiger Mom) wanted herto be well rounded and to have hobbies and activities. Not just any activities, like "crafts", which can lead nowhere--or even worse, playing the drums, which leads to drugs--but rather a hobby that was meaningful and highly difficult with the potential for depth and virtuosity.
And that's where the piano came in.
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That's one of the reasones (generational decline) that I insisted Sophia and Lulu to classical music....Classical music was the opposite of decline, the opposite of laziness, vulgarity,and spoiledness. It was a way for my children to achieve something I hadn't. But it was also a tie-in to the high cultural tradition of my ancient ancestors.
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What Chinese parents understand is that nothing is fun until you're good at it. To get good at anything you have to work, and children on their own never want to work, which is why it is crucial to override their preferences.