I expect that a lot of the "world's wisdom" has been born through the need for teaching children
Indeed, but not just children. While teaching, the complexity of contexts that the teacher is familiar with becomes more evident to him and he begins to seek ways to make it understandable to the less informed individuals. There is a lot of wisdom arising from teaching.
I don't have the patience to solve puzzles, I may start but once it begins to take time, I give up. When I persist, I am usually successful but how often do I persist? Lol