Physics and mathematics are inseparable. Sometimes physics creates mathematics. Geometry is one example. Calculus is another: it was a creation of the study of motion. Sometimes abstract mathematics created by the human mind finds its way into physics, as the infinite-dimensional spaces found their way into quantum theory, and four-dimensional (differential) geometry found its way into relativity. We can only wonder, as Einstein did, how “mathematics, being after all a product of human thought, [can be] so admirably appropriate to the objects of reality.”

Mathematics is the language of physics, and both ought to be mastered as early as possible, just as language has come to be mastered as early as possible.

I wholeheartedly agree with you on this. I teach chemistry and see the same thing happening in that subject. We need secondary teachers who are “experts” in the subject which means they have at least a Bachelor’s degree in the subject instead of a teaching degree with a credential to teach science. The credentials are useless because they take a 1 semester “general science” course to get it. Therefore, they really don’t know the subject material. Who do we have to kill or bribe to get this system into place? ðŸ™‚

John, I feel for your closing question! I wish I had an answer, but I know that if we do nothing about it, it gets even worse. Exchanging ideas and thoughts is a good start.

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