We all know confidently incorrect people. People displaying dunning-kruger. The majority of those people have low education and without someone giving them objectively true feedback on their opinions through their developmental years, they start to believe everything they think is true even without evidence.

Memorizing facts, dates, and formulas aren’t what necessarily makes someone intelligent. It’s the ability to second guess yourself and have an appropriate amount of confidence relative to your knowledge that is a sign of intelligence.

I could be wrong though.

  • I mean, go ahead and lie

    I’m not lying. It’s there in the textbooks. There are many available for free online these days.

    Memorizing proofs

    No students are required to memorise proofs, only how to do proofs to begin with.

    Some chapters had token word problems

    They’re not token problems - learning how to do word problems is a central core of Maths. They’re thrown in often.

    Science class math comes with sniff tests that math class math doesn’t

    Not really. v=d/t, s=ut+½at², and similar equations are used often in teaching Maths (such as in non-linear graphs).

    because following rules is what you do

    That’s right. We teach that if you follow all the rules you will always get the correct answer. Now witness adults on social media arguing about the answer to an order of operations question because they’ve forgotten the rules but refuse to admit that’s even possible, and yet the rules are still there to be found in Maths textbooks now, same as they were then, still the same rules (despite some of them claiming the rules have been changed).

    algebraic notation is artificial.

    No it isn’t.

    It’s manmade,

    The notation is, the Maths isn’t.

    like the English language.

    It’s not at all like language, any language.

    It’s a method of communicating ideas

    No, it’s a method of calculating things, like rocket trajectories, etc. Got nothing to do with communication at all.

    except it was taught as a series of rules and procedures that you were supposed to memorize how to do without understanding the goal

    I can’t help it if you yourself had a bad teacher, but look in the textbooks and that isn’t how it’s taught at all.