I disagree with your comment about better teachers. Teachers are simply a conduit for learning. They don't scale, which is why there is still a power-law distribution in educational outcomes despite tons or research and data and training and testing that should combat that. Basically rich people get richer because all rich people who are generationally consistently rich have one thing in common. They are autodidacts. If you can learn on your own, and have the capacity to recognize when the assumptions underpinning the status-quo are no longer correct, you can consistently remain wealthy relative to everyone else. True rich families understand this and teach it implicitly/explicitly to their children. Who end up being the fertile ground on which 'good teachers' have a multiplicative effect. This does not work for the poor as they lack the necessary base skills and knowledge to benefit from good teaching. Poor people still break through because circumstance often teaches people, like everyone who came from nothing on this message board, how to learn on their own without help or assistance from others. Advocating more assistance from others is not the solution. And for the same reason that sending $1T in aid to Africa has had mixed results.

Knowledge cannot be taught it must be learned.