A lot depends on ones beliefs (and possibly facts) about being self taught and if a difference exists in outcomes when various teaching styles and techniques are applied.
Its highly likely that the "best" or "right" way Dad X learned topic Y will work pretty well when helping teach a little clone of himself and not so well when teaching random kids. I'd theorize that parents are generally better at teaching their own kids than public school teachers for this reason, even if on average a public school teacher would be better on long term average at teaching a very large pool of kids.
As a very specific example I remember reading one of Feynman's books where he explained he had very high spacial reasoning performance, much like a mechanical engineer would have. Its much more likely his child would have that ability than a randomly selected kid. So his teaching style for something like calculus volume of a solid of revolution disk vs cylinder seems self explanatory to someone like Feynman, probably his son, or me, because of high spatial reasoning performance but someone without it probably needs to memorize very hard or just guess -n- check, I mean 50:50 odds getting it correct? That's actually an interesting question, how does someone (like his adopted daughter perhaps) without unusually high spatial awareness decide on a disk or cylinder strategy for that class of calculus problem?
Its highly likely that the "best" or "right" way Dad X learned topic Y will work pretty well when helping teach a little clone of himself and not so well when teaching random kids. I'd theorize that parents are generally better at teaching their own kids than public school teachers for this reason, even if on average a public school teacher would be better on long term average at teaching a very large pool of kids.
As a very specific example I remember reading one of Feynman's books where he explained he had very high spacial reasoning performance, much like a mechanical engineer would have. Its much more likely his child would have that ability than a randomly selected kid. So his teaching style for something like calculus volume of a solid of revolution disk vs cylinder seems self explanatory to someone like Feynman, probably his son, or me, because of high spatial reasoning performance but someone without it probably needs to memorize very hard or just guess -n- check, I mean 50:50 odds getting it correct? That's actually an interesting question, how does someone (like his adopted daughter perhaps) without unusually high spatial awareness decide on a disk or cylinder strategy for that class of calculus problem?