It was very good for my kids to take private music lessons (violin, piano, bagpipes)because they moved at their own pace (quickly)-- which did not get to happen with school subjects. Also, this was a place they could be challenged, struggle a bit, learn to "try hard"; school was too easy, and these important skills could not be learned there. I learned that to keep the learning going, I had to change teachers a couple of times. Either a child would "outgrow" a teacher or I would see that one of them needed a teacher with a different style/personality in order to work well. The most successful two teachers were probably highly gifted individuals themselves.