What he fails to account for is the fact that math 
    education is so poor that many people don't truly 
    understand what math is. Beyond arithmetic and algebra,
    they think it's some really complicated stuff with big 
    numbers and funny symbols that geeky people with glasses
    do -- it's practically a foreign language to them, 
    except it has a reputation for being much harder.

I can attest to this. Academically, I am a reasonably able person, but I found math simply baffling at school. Arithmetic and algebra were fine. Rudimentary geometry made sense. When we got to trigonometry, things just fell apart for me. We were taught sine, cosine and tangent in the context of how they could be used to derive angles from other angles, not what they were and how they worked. They were presented as tools that could be used in particular ways that had to be memorized. To me, it felt like trying to teach an alien from another dimension to use a hammer without the alien having any intrinsic understanding of mass or momentum or kinetic energy or friction.

In fact, if I'm totally honest, I'm not 100% I completely understand the sine function now. And it wasn't just math. In physics, current, voltage, resistance etc. were taught as inputs to formulas. I know it must be challenging to teach about these kinds of principles that lack concrete macroscopic analogs, but I can't help but feel they could have done a better job than they did. In chemistry too, I remember being taught about valency and how you could work out the valency of an element by its position on the periodic table. I asked what valency actually was, either didn't understand or wasn't satisfied with the answer, asked again, and the teacher brushed off my question and carried on the with the lesson. "Oh well," I thought, "I guess I don't understand chemistry." That was when I was about 12 years old, and I didn't study chemistry after that. I studied biology until I was 16 because I had a teacher who took the time to actually explain things.

The worst part is, I went to a pretty good school. It must be absolutely dreadful at bad schools.

Most of this happened before I had regular access to the internet and the chance to learn about these things for myself. I can't help but feel the whole course of my schooling and advanced education might have been different had I had better (or at least different) teachers of hard science and math at an early age.