The usefulness of 'mistakes'

I notice that our grandson at the age of seven has a dose of perfection disease.  He wants to get things right and doesn't much like it when he makes a mistake or is corrected.  And therein lies a reason for his condition.  His world is constantly correcting him.  His parents, his grandparents, his teachers, his schoolmates and himself.  The assumption is that there is a correct way and for sure there are ways of doing things that help the world to work such as using words that others understand making communication possible.  Observing the law can also be useful in keeping the world orderly and facilitating a measure of trust.  

What would happen if we encouraged our young people to do some things with an expectation that it might not work and then help them look for the usefulness of their 'mistake' rather than trying to make them feel better about their 'mistake'?  Hmm!