We discuss here conceptual change and the formation of robust learning outcomes from the viewpoint of complex dynamic systems (CDS). The CDS view considers students' conceptions as context dependent and multifaceted structures which depend on the context of their application. In the CDS view the conceptual patterns (i.e. intuitive conceptions…

At one time or another, all researchers in mathematics education must face the rather complex question of their epistemological foundations. Discussing epistemological foundations naturally leads to a conversation about theories. Theories and epistemological foundations work in a circular fashion: theories can have epistemological foundations and…