This case study examines the ways in which a teacher education program develops prospective teachers who implement the principles of constructing mathematical knowledge via a learning discourse. The study presents and analyzes a mathematical discourse in a 4th grade class as well as the feedback conversation of prospective teachers with their…

Formal mathematical methods remain, for most high school students, mysterious, artificial and not a part of their regular intuitive thinking. The authors develop some themes that could lead to a radically new approach. According to this thesis, the teaching of programming languages as a regular part of academic progress can contribute effectively…

During the twentieth century, major changes occurred in conception of arithmetic as a school subject. These changes resulted from both the study of arithmetic itself and from influences from movements and developments outside the subject matter; and they have affected both the content of arithmetic and the methodology of presenting that content to…