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If we removed the worst teachers and shut down the worst schools every three years, then that would be a start.

I respectfully disagree
I believe a troubled community creates a troubled school and I tip my hat to the teachers who care enough to teach there.

Smaller classes, larger teacher support staff, community outreach, one-on-one student/mentor weekly, and free after school programs would be a much better start.

Firing the teachers and moving the troubled kids to a higher performing school will not magically make them better students.