That sounds very interesting. If someone could solve this, it could be the most important startup in our time. What I would say, though is please put your ideas through the "Satan's computer" and/or game theory test. That is, if you assume every actor will act in their own personal best (best being defined as "optimal short term rewarding") interest at the exclusion or detriment of everyone else but your system still functions then it's a good idea. For example, in your incentive example above it strikes me that some teachers would purposely not use material from other schools because they want that incentive money for themselves (game theory).

I would also mention that there will be a potential resource problem. In every field there is a small subset that are the pinnacle of that field. If your system will only pick that pinnacle then you'll be understaffed. Imagine if software development were staffed this way. The software that actually was produced would be much better today, indeed much less would be needed. But we wouldn't have enough.