Plus, the math skills are basically useless, because, at least in the US, math is taught without the logical framework of proofs, or the practical framework for the usefulness of an approximate model for a process or physics application.

The integration of math, physics, statistical modelling, chemistry etc in grade school is absolutely pathetic. There is absolutely no intuition taught about how math is the language of approximation and deduction. There is absolutely no practical intuition taught about what a model is and why models are used. Equations are just taught as gifts from some dead guy which you must use with random numbers to extract a grade.