Wednesday, December 23, 2015

Acceleration, math, and college standards

California has long had issues with matching up its public K-12 school system with its system of public universities. When I was out there a few years ago doing some reporting, I learned that a number of schools had (until recently, people were trying to change this) not offered the classes that were necessary to attend one of California's 4-year public universities. In other words, young people with perfectly good high school diplomas would find themselves needing to do lots of extra course work in order to enroll, not because they didn't stretch in high school, but because apparently no one was thinking that children from those high schools might wish to earn 4-year degrees from one of the major universities. Talk about low expectations.

Anyway, I was thinking of this as I read an article in EdSource about how districts are choosing to accelerate students. There's been a bit of a rethink about how many 8th graders are taking algebra as it's become clear that many haven't been prepared. If you have trouble with algebra, most higher level math is going to be tough to understand. This impulse brushes up with a different issue, though, which is that in order to attend one of the flagship universities, you really need to have followed a sequence that includes something like calculus your senior year. It's hard to get there without doing algebra in 8th grade.

So this leads to the question: who gets accelerated? Ideally, everyone would be free to work at his/her own pace with no judgements. But if not taking algebra in 8th grade means you're probably not going to have the right classes for a top university 4 years later, it becomes a bit more fraught. You potentially have people making the choice of who seems like college material and who doesn't, quite early.

So, broadly, how should acceleration decisions get made?

The Ed Source article details efforts to make sure the criteria are fair. I remember years ago taking the Iowa Algebra Aptitude Test to see if I was ready for algebra in 6th grade (fun story: the teacher administering it had such a heavy southern accent I thought for a long time that it was the "Owl" Algebra test). Of course, tests have their problems too. So there are other options. Teachers can recommend people who didn't quite get the right scores, though teachers can't recommend against someone who did get the right score. And parents can elect to accelerate children too.

There are arguments for or against these options. Good teachers naturally teach to the middle of a class. They are constantly checking for understanding, and if most of the class isn't getting something, they'll stay there. This means that if enough children who aren't quite ready for accelerated math are in a class, it can get watered down.

On the other hand, questions of who's in/who's out sometimes become so big and fraught that schools decide it's better to have everyone do the same thing. And that's not a win either. So in general I think that if people are willing to try more advanced classes, it's OK to let them, especially if classes are then benchmarked to state or national tests so there's a force against watering them down (a la AP Classes).

What math sequence did your children take? If they took classes post-calculus in high school, what were those?


Jo in OKC said...

My daughter took Algebra in 5th grade. She did AP Calc BC in 9th grade. After that, she did multi variable Calc, linear algebra, differential equations, naive set theory, intro real analysis, and category theory. She obviously had a lot of math.

nicoleandmaggie said...

There's also options such as double dose algebra for students struggling with algebra.

Most students don't need calculus for college, even though it helps. The remediation is for generally kids who don't have college algebra or can't pass the placement test past college algebra level.

lgm said...

The standard path here is 8th grade Regents Algebra 1. Students who find it incredibly easy usually double and take Regents Geo and A2 as high school freshmen. No honors sections available. All math after Regents Alg 2 is considered an elective, not necessary for the Regents Advanced Diploma. If there are enough students, DE courses from the local CC will be offered at the high school - College Algebra, Trig, Calc 1, and Calc 2, a semester each - books and course fees paid for by the student. CC math is on the Larson level. Wealthy gifted students will take AoPS or JHU-CTY courses online at their own expense to get real college prep.

lgm said...

To answer your question about who gets accelerated....Jay Matthews' book Class Struggle accurate describes the selection procedure for my area. Honors/accel seats go first to staff children, then the politically connected. There are never enough seats open for all who could benefit. College remediation is for students who did not get into honors. They need writing usually, as they are gifted enough to read well and do well in Regents Math.