So if there were a list (I'm sure there is, but I strangely can't find it using any reasonable search terms) of basic mathematics concepts, what would it be?
1. Counting
2. Addition
3. Subtraction
4. Integers
5. Multiplication (including powers)
6. Fractions
7. Division
8. Roots
9. Permutations
10. Variables
What have I left out?
I'm trying to teach someone math from the very beginning and I'm sure that it can be done in far less time than the decade it would take in an ordinary American public school. I'm aiming for four years from "how to count" to knowing how to solve a quadratic equation. Before anyone suggests that this is unreasonable, I should add that I took Algebra when I was 8. (Catholic school, of course.)