>>16586576
>I think just about everyone has the capacity to understand the basic ideas of calculus and linear algebra, at least at a mechanistic level
>at least at a mechanistic level
See, but this is exactly what I'm talking about. People can do arithmetic "on a mechanistic level" but ask then what '2' is and see how mad they get when they can't explain it and struggle to reconcile this with the conviction that they "understand" the topic. The other side of that coin is how they teach people enough that they can string together sentences involving vague abstractions, but then you ask them to solve a concrete problem and the poor victims of "simple explanation" don't even know where to begin. Good teaching isn't about making the inherent complexity of a topic magically vanish; it's about managing that complexity over time.

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You're not smart if you can't explain or teach complex topics into simple terms that even a low IQ retard can understand.