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bcrowell said:We tried to do something like this. There are a lot of barriers.
1) We would want to convince ourselves that our math pretest was very strongly correlated with success in phyiscs. We constructed a test and didn't find such a strong correlation.
2) We're a public school (California community college), and there are court decisions that make it very difficult to do this sort of thing.
3) We would want to have some evidence that the required remediation was effective. Actually the best evidence I've seen is that math remediation in general simply doesn't work.
4) Many students with inadequate math skills have passed the relevant math courses at our school. Neither they nor the math department want to hear that a C in math equals total incompetence.
Then perhaps your school should replace diplomas with participation trophies.
USAFA developed a math assessment using ALEKS that was an excellent predictor of success in both Calculus and Physics. Many math departments now are using some kind of ALEKS assessment/remediation for placement in Calculus, and there are strong correlations with success in Calculus. Since I was the person in the USAFA math dept who knew the most about what it takes to succeed in Physics, it was pretty simple to get their ALEKS assessment focused enough on right triangle trig and the parts of Algebra 1 used in Physics to ensure relevance and correlation.
The ALEKS pre-calc course is excellent preparation for both Calculus and Physics. Tuning it for Physics is more a matter of removing all the bits that are less important, nothing really needs to be added.