I found it quite impressive that people are capable of this. For me, I have neither energy, nor ability, nor comprehensive knowledge to do so. So, it is always fascinating (and a bit intimidating) to see people writing these all the time. I want to ask how you guys achieve this feat.
Maybe, is it that I am nonverbal so I cannit write coherently?
I see. Maybe learning mathematics have screwed my writing since so much of mathematical literature is simply equations, definitions and propositions. Lots of papers, and even books, are just bad at expositions, in my experience.
I actually agree with you about math education and math texts. It is really bad at conveying understanding and my math-heavy courses were the toughest for me (E&M in grad school was awful). Too often math textbooks simply present things and leave the proof as an exercise for the reader, or they will lean too far the other way and present formal proofs for everything. Either way is not helpful for developing an intuitive understanding of what is going on.
The things that helped me develop communication skills the most were simply doing it a lot followed by having some good mentors that I found to be good communicators. My grad school advisor was great at communicating physics and one of my early bosses in industry was an excellent presenter. So, I would often bounce either writing or slides off of them for feedback.