Well, outside of teaching math itself, mathematics builds a concrete analytical complex for those who learn it and take the time to attempt to understand things like algebra, arithmetic, geometry, and analysis. Arithmetic is essential for everything like averaging grades, and geometry allots one with visual intuition of things. Analysis is also important at the higher levels of teaching when a teacher needs to make a statistically correct curve to grade high school and college students, and most school require that teachers have at least 4 years of college. Graduating college require that students have learned at least up to algebra 2, and sometimes even calculus.
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the mathematics involved in making a 3-d snowflake involves symmetry
Teaching children mathematics
he is famous for teaching math
Probably fractal geometry.
You can teach the value of Pi...or atleast approximate it to arbitrary precision.