Genius, prodigy, and intelligence

A genius is a person who can learn knowledge well even under his age, especially a prodigy. Is it a good thing or a bad thing for children who study much faster than their peer group? There might be a problem that the prodigy has a mature intelligence but has a immature mind. Also, the ability of daily living is not enough for a child prodigy. To be the child prodigy is a pleasnat thing for parents. However, it is the most important way that how to educate the children.