So you would fire good teachers at random if you could also fire some disproportionate amount of bad teachers? That's strictly rationally better if we care only about student outcomes, but is worse if you care only about fairness to teachers.
The school system (ostensibly) exists to educate students, not to provide teachers with jobs. Fairness to teachers matters insofar as job security prospects affect the baseline quality of teachers; being able to get rid of the worst ones isn't necessarily a good thing if you bring down the average in the process. But it's not ultimately what we're trying to maximize.
That's my true objection, I think. But there's a couple others you could raise if you prefer a more moderate approach. Firstly, if we're looking to factor in teachers' outcomes it doesn't m...
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