That mathematical training needs to be improved in our public school systems is a commonly accepted idea. The usual reason given is the increasingly technical underpinnings of our daily lives, but that’s not actually correct. A small fraction of the population needs a familiarity with mathematical practices, and these people set up the technical supports for the rest of us…it’s the difference between being a mechanic and being a driver.
The real importance of mathematical training is not supportive, but subversive. Familiarity with mathematical practices enables you to better analyze events and understand your options on a day-to-day basis.