in particular, the ability to be brought out in the class of mathematics is one to understand structures. so i use the keyword "understanding structures" to express my thought on mathematics education. my opinion and action on mathematics education, softwares introduced in my homepage and everything else come from this notion.
how will the notions of self-realizetion, self-representation and understanding structures change mathematics education? as far as we continue to discuss, as usual, only what items should be chosen or not, we cannot decrease the number of students hating mathematics...