https://bogart.openmathbooks.org/ctgd/ctgd.html
And more directly, a quick browse showed up a book called:
"Mathematical Notation: A Guide for Engineers and Scientists" which looks like it addresses your issue directly.
Starting in elementary school you slowly build up topics, mathematical intuition and notation more or less in unity. E.g. starting with whole numbers, plus and minus signs before multiplication, then fractions and decimal notation. By the end of high school you may have reached integrals and matrices to work with concepts from calculus and linear algebra…
It makes little sense to confront people with notation before the corresponding concepts are being taught. So it feels like you may have a different perspective on notation as a layperson that are no longer obvious to more advanced learners.