Other's have pointed this out already, but there is a need for everyone to learn symbol manipulation, geometric representation, and 5 line arguments before mat

Other's have pointed this out already, but there is a need for everyone to learn symbol manipulation, geometric representation, and 5 line arguments before mathematics mastered. Saying that this is not part of a complete mathematics education is saying that grammar and vocabulary are not part of an English education. And yes, my school did mathematics in high school. We went through much of Euclid's Elements.