Yep, one of my favorite tradesmen is Larry Haun. He started carrying tools for carpenters for pay as a young kid -- which today would be illegal. Imagine being in school and learning math and science in the context of how it tied into building a house . Suddenly the majority of it is useful.
Perhaps the problem is in part kids aren't economically 'exploited' enough so they have basically nill solidifying the utility of their schooling.