(i) Evolution of Pedagogy from “art” or utopian system to a science. Questions of foundation. Other relevant sciences. Sociological considerations. (ii) Social function of School. Curriculum and Aims of Education – especially in Mathematics. Multiculturalism. Interdisciplinarity & Critical Education. Science and Everyday Life. (iii) Authoritative and Liberal education. Social representations about “errors” in Mathematics and their pedagogical treatment. Reflective model of Teachers’ Education.