@Uscari The whole argument uses math as the vehicle because it is perceived as the most logical and, more importantly, unambiguous of the scientific studies. Even advances in physics relies in part on trial and error, while math seems like it just 'exists' and is just waiting for someone to 'discover' it. To answer your question, yes. But the same argument can be substituted for any field of study and it would be equally valid.
@MM You are correct that more advanced study requires a solid foundation in the fundamentals. Indeed calculus is not taught earlier for this very reason.
Also correct that the way math is taught is completely and utterly boring.
However I'll have to stop you at "jobs that pay more and require more responsibility usually require a greater understanding of mathematical concepts." This is only half-true. And only because of semantics and societal aberrations.
But I'm going to parse your statement to mean "engineering, medical, construction". Truth is, these professions rely on experience and hand-me-down knowledge rather than first principles design far more than people realise.
I won't elaborate because it'll become a TLDR, but my source is 3 years in mechanical engineering, and about 20 friends in various fields of engineering.
The world was much rosier when I was young and ignorant.
@Rav Yes. School killed my creativity. Life killed a dream I dreamed.