BashfulBob:
If you wish to encourage creativity, you need to restructure the education system to do as little damage as possible. (However, imagination without some factual basis to build upon is no good either, so you also need to strike some sort of balance).
BashfulBob states the problem well. You need creativity in order to come up with something new but then you need technical skills to be able to make that idea into something useful. For example a pianist may come up with a brilliant composition in his mind but he has to have the fundamental skill on the piano to be able to play it. And that skill comes from boring practice, practice, practice.
Unfortunately most people, although not all, in the education system are SJ temperament types. That is, they are the type of people who follow rules while the creative students are the iconoclasts who are forever questioning the rules. This leads to an invertible conflict as the teachers try to force the most creative students to forget their "silliness" and just do things by the book.
That is one of the reasons that it is difficult to teach creativity, teachers using standard teaching methods stifle it. It's like a dog trying to teach a kangaroo to move fast.
"No! No! Don't hop! Keep all four limbs on the ground. I don't understand why you can't just follow my directions and do it in the standard way."