Pizza maker will not be the first job automated away. Nor will janitor. Form fiddlers are cheap and can be blamed. AI fiddlers can be blamed too but are not cheap, yet.
This is the way. If we all did that, our health care system would be the best the world has ever seen. We mostly do the opposite. We give up on our own agency in terms of our health outcomes, then get on ozympic and demand cheap insulin to go with the cheap soda pop and fast food we love so much.
But doesn't economics matter somewhat? You don't seem to acknowledge supply/demand; just talented and untalented craftsmen which you assume exist in eternal ratio that cannot fluctaute with supply and demand or market forces. Reality encompases both money and art.
Stay in the far right lane unless passing. Don't tailgate. Those 2 rules would solve a lot of problems if they were enforced. Instead, there is heavy enforcement of the speed limit, which in and of itself isn't a safety concern.
I agree. Kids need to eat their vegetables, but we can make vegetables quite delicious if we try. Also, the music metaphor is imperfect because some musicians are performers others composers. I prefer sport as the metaphor: a mix of short laregely repituous training and longer term strategy, different styles for different athletes, influence of genetics and talent heterogeneity acknowledged at the elite end of the spectrum.
Maybe there's an element of both time and skill? How many folks that pursue math can point to a great early teacher as being influential. Not all, but I want to believe it's common and maybe true for most.
It is very sad to me that so many people can't enjoy that aspect of math. I was lucky, pbs used to show math stuff to kids, so it was fun and interesting before it was a school thing. Of course a huge part of math learning is just hatd work for most if us. But kids should taste the delight first, it motivates them to do the less delightful practice.
"many children learn mathematics as a set of arcane rituals for manipulating symbols on paper, because they can't yet understand the abstract meanings of those symbols."
In the US?
I had pretty typical US public school education. Word problems and application were ubiquituous. Perhaps my experience is non-representative, or you like the study authors are speaking of other educational contexts (Asia).
"ask whether, in the urban Indian context, the arithmetic skills that are used in market transactions transfer to the more abstract maths skills taught in school."
I have a hard time with this notion of 2 different maths. I wonder if it is specific to the "urban Indian context" as the authors seem to suggest in their literature review -- I didn't pursue their references. Intuitive math that is not associated with memorization sounds like g.