What I have read and also experienced is that producing quantity is necessary but not sufficient for producing quality. If you want to get really good at something, rather than just getting somewhat good and then plateauing, you have to not only do it a lot, but you have to care deeply about how good you are doing, identify your weaknesses and work specifically to improve those. The problem with your story is that the quantity kids have no incentive to produce quality, so they probably just won't.
A different angle from Kenny Werner, though this is about music-- his Effortless Mastery is about learning to be calm and non-judgmental, then gradually adding more challenge (achieve state, approach instrument, touch instrument, pick up instrument, make sound without aiming for good sound, then slowly add work on getting skillful without disrupting meditative state).
I haven't seen this approach applied to purely cognitive work like programming, though this doesn't seem impossible.
This is also more or less the approach I adopted to physical therapy, after my stroke, to pretty good results.
Followup to: Don't Fear Failure
In the same theme as the last article, I think that failure is actually pretty important in learning. Rationality needs data, and trying is a good source of it.
When you're trying to do something new, you probably won't be able to do it right the first time. Even if you obsess over it. Jeff Atwood is a programmer who says Quantity Always Trumps Quality
The people who tried more did better, even though they failed more too. Of course you shouldn't try to fail, but you shouldn't let the fear of it stop you from tyring.
I wouldn't go as far as to say that quantity always trumps quality, but where the cost of failure is low lots of failures that you pay attention to is a pretty good way of learning. You should hold off on proposing solutions, but you also need to get around to actually trying the proposed solution.
I'm normed such that I'll spend more time talking about if something will work than trying it out to see if it works. The problem is that if you don't know about something already, your thoughts about what will work aren't going to be particularly accurate. Trying something will very conclusively demonstrate if something works or not.
Note:
I originally had this as part of Don't Fear Failure, but that post got too long.