First - you are taking on a very worth cause. I think you are missing a very important point above and beyond skill building, though. Many people that are ver

First - you are taking on a very worth cause. I think you are missing a very important point above and beyond skill building, though. Many people that are very advanced in math get bored. Topics like number theory can reintroduce the fun and wonder in math that has been beaten out by the system. Bringing "Wow, how can that possibly be?" back into mathematics should be a goal in and of itself. (This isn't meant to degrade the "master the basics to master the complex" argument either)