Perhaps less trigonometry and more analytics in mathematics education would help.
I think concepts of proof are not taught at school level maths any more. I remember being talked the notion of proof in geometry but also learning things like inductive proof mechanisms. But I think the issues are wider than that and probably never taught as they are ones around questioning the evidence and distinguishing between facts and inference on them. Perhaps I've just spent too long in environments where people question and analyse everything to be disappointed when that doesn't happen elsewhere.