This article presents a research apparatus for investigating and making sense of stories that emerge from feedback that mathematicians provide on students' proofs. Using the commognitive framework, the notion of "didactical discourse on proof" is developed as a lens for conceptualizing mathematicians' practice of feedback provision. The…

Brian Griffiths (1927-2008) was a British mathematician and educator who served as a member of the founding editorial board of "Educational Studies in Mathematics". As a mathematician, Griffiths is remembered through his work on what continue to be known as "Griffiths-type" topological spaces. As a mathematics educator, his…

Recorded are some biographical data about the late professor Freudenthal along with some indications about his mathematical work. In an appendix, a tiny part of his mathematical work which can be explained in a fairly direct manner is discussed. (Author)

Topics discussed include: reasons for strategies; the use of a hierarchy of spaces from topological to Euclidean in teaching; structural strategies; pedagogical strategies; and mathematical strategies. (MP)

The author takes exception to Piaget and Inhelder's conclusion that a child's first conceptualization of space is topological. (JP)

The Czechoslovakian Academy of Sciences is sponsoring an experimental approach to the modernization of the geometry curriculum. Geometry is viewed as ancillary to other parts of the curriculum and is taught as appropriate to other subjects (e.g., algebra). Combinatorial geometry is taught formally. (SD)

The mathematical solution to a Piagetian experiment involving topological concepts reported in a recent book is labeled as a sham. The correct solution is given and discussed. (MP)

Outlines a guided discovery activity for ascertaining the conditions which allow for the correct tracing of networks. (JP)

A review of work related to the topological primacy thesis and a critique of some aspects of it are presented. On the basis of the psychological research, it is concluded that topological concepts ought to be taught. (MP)