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American public schools are full of pedagogical nonsense: New Math, Reform Math, Common Core Math.
If you want the real stuff, look at the textbooks created by John Saxon, writer and publisher. (After 27 years in the military as a jet pilot.)
If you are dismayed by what you find in the public schools, read this short piece about John Saxon's life and magic.
Here is his secret: he loved math and he loved kids. He especially loved bringing them together. He loved creating efficient, enjoyable courses that would inspire children to study more math than they ever imagined possible.
Saxon and Jaime Escalante are two of the most inspirational figures in American education. Both of them were hated by our Education Establishment.