great article, very well written with many agreeable points. But I doubt that the teaching of mathematics can be easily subverted into a better one, mostly because there is plenty of people that do not care enough: they think "math is hard and sucks" or simply do not care about knowing the alphabet of the knowledge. That's why at the University math is taught the good way, because there almost everybody is genuinely interested in the subject.
You seem to be unaware of how curriculum has been designed in recent decades. The current "Where's the Math" protest movement is complaining that the curriculum is devoid of calculation.
