Kids learn material much faster when they screw-up first. In other words, getting the wrong answer helps us remember the right one.
Not only kids, I might add. The information content of negative feedback is greater than that of positive feedback. The trick is creating an environment in which it is both encouraged and welcomed.
The work of Carol Dweck has been covered in earlier posts here and here. When I heard her speak to an audience of parents in Palo Alto about a year ago (all there to figure out how to get their kids into Stanford, natch), I asked her whether anybody had looked to see whether the growth mindset was correlated with higher levels of flow experiences. She said that a study had been done of race car drivers, which found some correlation between the two. I haven't been able to find a link on the web.