The latter like arithmetic is better seen and written than spoken aloud. Symbols like pictures can be worth a thousand words. Words have been missing to explain the role of symbols in providing the shorthand notation of mathematics or its algebraic way of writing and reasoning. The latter consists of recording and developing thoughts on paper at least for those among us afflicted with a short or too forgetful memory. The absence of a verbal culture to introduce and explain the algebraic way of writing and thinking leaves its mastery to immersion and osmosis.
Comprehension depends on one's aptitude for learning some basic ideas by immersion.
I am in the radical position of suggesting that a certain change is possible and desirable. This work and its companions suggest how. They have yet to be formally peer reviewed and so should be read with caution. The discussion of math and logic instruction and the discussion of reason and persuasion are both fraught with controversy. Scrutiny or critical examination of this work may lead to its refinement.