We agree that children can't learn addition in their first month, but we have proven that they can learn much earlier than has been assumed. But educators are so philosophically sure of their position, they've never tried to push the limits. As you will see, we now know that proper testing is precisely what is needed to optimally teach. The way we test is not invidious, and it permits us to raise the lower level students to the highest standards rather then consign them to darkness as schools do now. The truth must be told.
Good teaching is harder than mediocre teaching.
The student then learns or doesn't. It's not the teacher's problem. But if the methods really work, good teaching demands that the teacher take responsibility. Teachers are not paid enough for the hard work of good teaching, but ironically, good teaching might make the public more willing to pay good salaries. Additionally, school administrators often feel they are paid, not to become first in the state academically, but rather to keep order, assuage parents and not make waves.