It's so great that you can homeschool your children. I wish that had be possible in the places where I lived (Germany and Iceland). For them school pretty often was some kind of hell.
Problem-solving skills is exactly what you get when you allow children to be creative. Regular schools rarely give kids that opportunity. Instead of productive, peaceful cooperation they further short-sighted aggressive competition, cruelty and exclusion.
Congratulation to your clever little boy.