@boomerang,
As I often do, this is a reply to boomerang from a while ago.
I think people who like working with wood vary. Some are fine with math plus quick to visualize how things come together. Some are precision perfectionists. Some just like to get it done in a way that it can stand solidly, and plain (plane!) like working with wood. An uncle of mine was one of the perfectionists, but we couldn't talk much since I was just getting on to four when he died.
Some learn the math as they go along.
I've known superior carpenters and also been very surprised that someone in the field wouldn't know some elementary stuff. Me, I'm in between - I learn what I need and maybe some past that, but I don't voluntarily explore intricacies except for appreciating beauty and function of results. This is both useful and to me one of my lame-osities, depending on the context.
I think I think that the beauty/functionality of wordworking is the primary instinct. The hands on connection. (I know I've told about the wood carving I f'ked up from the roof of our building at Venice beach. I've also one print of a cat carving that I screwed up near the end. That one I'll post when I run across it. Technique matters. Plus of course the choice of wood, mine being scrap.
Which brings up, hand eye coordination - does math ability go with that or not?
I've seen enough clutzy med residents to think these things are separate.
I read Wapo, screening, but haven't read that particular blog yet. Too busy garbaging out with Date Lab, y'know.