The main aim of this paper is to propose a critical view of the application of Toulmin's model of argument to mathematics education, focusing on aspects that have strong teaching implications. It is claimed that Toulmin's description of arguments in mathematics, in particular as regards the relations between form and meaning, is misleading and out…

This paper problematizes the metaphors of unpacking, deconstructing, and decompressing mathematics that are prevalent in discourses about mathematics teacher knowledge. It is argued that the logic of these metaphors is based on the reversibility of packing, constructing, and compressing mathematics and seems to suggest the view that knowledge is…

Grounded in a desire to explore how the field of culturally responsive pedagogy (CRP) and its connected sub-fields is constructed/shaped in and through mathematics education research, the study reported on in this paper sought to understand how researchers/scholars situate, or position their research. The study began from a conceptualization of…

In this, paper we attend to epistemological potentials of multilingual language use and mathematics in connection to the 'language-as-resource' idea and how the idea is actualised in Swedish mathematics education contexts. In this paper we develop and propose a framework for considering different epistemological potentials for multilingual…

In this article, we analyse a script of an imagined classroom interaction from the perspectives of politeness and positioning. The script was written by a prospective teacher, Cara, as part of her Lesson Play. The Lesson Play was prompted by her reflection on how the needs of students who are disaffected with mathematics might be met, an issue…