1) People use the average Joe's poor mathematics as a way to control, exploit, and numerically fuck him over.
2) Mathematics is the subject in which, regardless of what the authorities tell you is true, you can verify every last iota of truth, with a minimum of equipment.
Therefore, if you are concerned with the empowerment of everyday people, and you believe that it's probably a good idea to be skeptical of authority you could do worse than to develop your skills at being able to talk math in such a way that anyone can ask questions, can express curiosity, can imagine applying it in the most weird-ass off-the-wall ways possible.
Many students want teachers to "show me the steps." But "The Steps" are cargo cult mathematics.
Mathematics is like unicorn anatomy. You imagine this thing, and it doesn't exist, yet it still comes with facts. I know how many legs a unicorn has.
