> Too often, I think teachers and texts gloss over these notions instead of plumbing their philosophical depth and implications
I have a few questions:
What level of teacher?
Are you a maths teacher/teaching academic?
My understanding of Maths education in the west is that they essentially spend the whole time attempting to get children to the point where they can do precalc and that any attempt at reform is eventually defeated by conservative engineers running a concerted political campaign to convince the voting public that set theory and category theory are a leftist conspiracy.
My experience of university mathematics was that set theory was assumed knowledge (fair, it has managed to stay in the curriculum), same with category theory (lol).
I would say that if it weren’t for the rise of the computer and the prevalence of relational databases in the late 20th C they would have managed to cut all non-precalc out entirely.
I have a few questions:
What level of teacher?
Are you a maths teacher/teaching academic?
My understanding of Maths education in the west is that they essentially spend the whole time attempting to get children to the point where they can do precalc and that any attempt at reform is eventually defeated by conservative engineers running a concerted political campaign to convince the voting public that set theory and category theory are a leftist conspiracy.
My experience of university mathematics was that set theory was assumed knowledge (fair, it has managed to stay in the curriculum), same with category theory (lol).
I would say that if it weren’t for the rise of the computer and the prevalence of relational databases in the late 20th C they would have managed to cut all non-precalc out entirely.