A case study of epistemic order in mathematics classroom dialogue

We define epistemic order as the way in which the exchange and development of knowledge takes place in the classroom, breaking this down into a system of three components: epistemic initiative relating to who sets the agenda in classroom dialogue, and how; epistemic appraisal relating to who judges contributions to classroom dialogue, and how; and epistemic framing relating to the terms in which development and exchange of knowledge are represented, particularly in reflexive talk. These components are operationalised in terms of various types of structural and semantic analysis of dialogue. It is shown that a lesson segment displays a multi-layered epistemic order differing from that of conventional classroom recitation.

Let´s teach geometry

In this work we present an activity for High School students in which various mathematical concepts of plane and spatial geometry are involved. The final objective of the proposed tasks is constructing a particular polyhedron, the cube, by using a modality of origami called modular origami.