One way to get smarter government teachers would be to require Calculus. Everyone of them should be required to take Calculus I , in the **same** classes and side by side, with engineering, math, and hard science students.
If every government teacher in this nation were required to take the GED for high school drop outs how many would fail? How many would fail the math portion of the exam? How many can add, subtract, and multiply fractions? How many know the long division algorithm? Gee! I'd even give them the entire summer to study for the exam.