If I were a space engineer looking for a mathematician to help me send a rocket into space, I would choose a problem solver. But if I were looking for a mathematician to give a good education to my child, I would unhesitatingly prefer a theorizer.
- Gian Carlo Rota

What did he mean by this?

>Source: This is from "Indiscrete Thoughts" By Gian Carlo Rota. Its the fourth paragraph on page 46.