If your goal is to really master 2 semesters of college level calculus, say you are going into engineering or the like and need to get through a rigorous Calc 3 class and then use all the calculus to understand say partial derivatives in fluid flow . taking two years in high school doesn’t seem like a waste of time or school district money.
Way too slow for whom, the 0.05% of students who will go to MIT and not take Calc 1-3 ?
Actually our district serves them by providing a free district PhD mentor for Saturday instruction starting as early as 4th or 5th grade, and these are individualized programs. Every year, maybe 1% or less of the class needs or wants this.
I think if you are really incapable of doing say difficult algebra problems … maybe you should step off this max accelerated path or consider … OMG … tutoring or self-study. A bit of review when you realize your algebra skills are a bit weak while collecting up the terms in a triple integral - that is fine - and does not define a poorly tracked student.
A lot of the acceleration in some high school districts is to expedite the ill-defined 4th, 5th, 6th, 7th grade math, which in the dim dark days of my youth were spent waiting for other people to “get math”, not to gain some special understanding of lower level math concepts. Or to add supplemental material … even maybe something controversial like the dread bridge building project, that involves some math, some creative thinking, some hands-on, etc.
Math seems fadish, like every 10 years they come up with a New, New New, New^3 way of trying to make math easier to understand … but this is really for kids who do not “get” it.
To me, the high level math that takes you to physics, engineering or even math degrees … .hasn’t changed since Newton, LaPlace, etc. Certainly the same as 30 years ago …
Our district also shortchanged proofs, at least compared to my inspired geometry and calculus professor.
And, algebra greatness is not synonymous with being a great mathematician in classes beyond algebra.
I would be careful to judge a school district by USNWR rankings, many of these school districts have very few disadvantaged students, which is the subject for another thread, so I am not sure if these are statistically significant. They can also include students who are in their McMansions and dad lost his job, so they qualiify for free or reduced lunches, not people who come from traditional disadvantaged backgrounds. And being in these school districts does help.
I would also question whether any of the AP antics described in this thread really have any relevance to a student who is not in the top 25% of ANY school district.
A Questbridge type applicant who is highly academically qualified but poor … maybe … but I think most of those kids are stuck in poor performing schools where they are lucky if there is any calculus, high level science or anything remotely close to the AP classes we are discussing.