Presents a response to Orton's article (this issue), claiming that the previous author presents a highly idiosyncratic interpretation of the Cartesian dualism, creates a gulf between theory and practice, and implies that the social and cultural aspects of mathematical activity can be dismissed. (65 references) (Author/MKR)

Comments on Erick Smith's proposed knowing/knowledge distinction, and clarifies a possible ambiguity in the present author's use of the term "constructivism." The article distinguishes between Piagetian-based psychological constructivism as outlined by Smith and the author's version of constructivism. (GR)

In an attempt to bridge the perceived distinction between internalized conceptions of mathematics and their external representations, this discussion treats mathematics both as an individual, constructive activity and as a communal, social practice. It is argued that this approach might transcend the tripartite scheme of teacher, student, and…