> Most of it's just taught is extremely-painful-to-learn trivia.
That's weird. When I was in school in the UK (1960..1974) mathematics was illustrated with practical applications. This was especially so as we progressed into more sophisticated physics and chemistry.
You'd get examples sometimes, and (infamously) contrived word problems, but not enough and most of it wasn't at all relatable. Some whole topics were totally lacking in anything but horribly-contrived motivations, including covering bases other than 10. You might get "computers use binary!" which... OK, cool, so what?
But yes, we'd see some applications of usually limited and relatively simple math from e.g. calculus or algebra in other classes, which typically amounted to plugging values into a handful of formulas (which, to be fair to those classes, is what the vast majority of "using math" is in the adult world, aside from basic arithmetic). Not in math class, though, and not at all for many topics.
That's weird. When I was in school in the UK (1960..1974) mathematics was illustrated with practical applications. This was especially so as we progressed into more sophisticated physics and chemistry.