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…

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…

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…

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 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…

In this theoretical paper, I examine the similarities and incommensurabilties between studies using the term "beliefs", and discursive frameworks studying "identity". I start by reviewing critiques against beliefs research voiced from discourse and socio-culturally oriented researchers in the field of mathematics education. I…

The aims of the present study are two-fold. The first aim is to reveal the cultural and linguistic issues that need to be considered in the development of curricular content and sequencing for teaching mathematical proof in secondary schools in Japan. The second aim is to elaborate an epistemological perspective that may allow us to understand…

Prior to the 2016 Canadian Mathematics Education Study Group/Groupe Canadien D'étude En Didactique Des Mathématiques (CMESG/GCEDM) meeting at Queen's University in Kingston a Pre-Conference session was organised to discuss the theme of "Challenges and opportunities related to linguistic and cultural diversity in research and publishing /…

This article developed from a request by a German mathematics educator (Rudolf) to an Australian colleague (Vince) for a language check of an international conference presentation. Because of a history of cooperation, Rudolf trusted that Vince could provide a faithful translation. Vince happily accepted but had two reservations: he did not wish to…

Classroom mathematics in Malta is generally communicated through code-switching between the national language Maltese and the country's second language English. This is because not all mathematical words have Maltese equivalents and furthermore, mathematics textbooks are UK publications. I consider the language used for spoken communication and…

Weber and Alcock's (2004, 2009) syntactic/semantic framework provides a useful means of delineating two basic categories of proof-oriented activity. They define their dichotomy using Goldin's (1998) theory of representation systems. In this paper, I intend to clarify the framework by providing criteria for classifying student reasoning into…

I adopt a poststructural perspective to argue that the current focus in mathematics education on measuring, reducing, and explaining the achievement gap is dangerous and can be counter-productive to the equity-oriented arguments that those mobilizing "gap" language want to make. The reiteration of the achievement gap in scholarly arguments can…

This article offers a way of viewing mathematics as social, drawing upon research on numeracy practices at home and at school carried out by the School and Community numeracies team in the Leverhulme Numeracy Research Programme, a five-year research programme (1997-2002) at King's College London. Within the school and community focus of the…

Investigated the use of the pronoun "it" by a nine-year-old girl as a concept variable conveying the message that she had something in mind that she believed the listener understood. (MDH)