This might sound trite, but I think the solution would be to couple standardized testing with performance based pay. Unlike code, it's hard to aim for solely short-term gains. As long as teachers aren't cheating, I can't imagine many ways to teach students that aren't inherently beneficial to the student. Teaching better study habits, etc might not be directly related to their material, but it still helps the students.

Also, I think there are fairly generalizable development timelines for children. While standardized testing can never be a gold standard in determining progress, I think we can both agree such testing does measure a worthwhile metric. I would definitely agree that there are edge cases, both in terms of individual students and in terms of school districts, but linking pay with progress seems on face value to be a good idea. That, plus independent school districts, is system-based evolution. Such selection depends on creating the right relationship between effort and reward.