Explanation science
Explanation science is a phrase that keeps entering my verbal loop. I think there is a science of writing great explanations.
I think this page (which is written by me, admittedly) is a really good example of the kind of thing I am trying to point at with the phrase "explanation science": https://learning.subwiki.org/wiki/Examples_in_mathematics It examines the idea of "examples" closely and comes up with a typology, in such a way that someone who is writing an expository piece in math can use it to make sure they have all four kinds of examples.