In the early 1980s, the "theory of didactic situations" put the analysis of mathematical activity at the core of the didactic analysis, thus initiating a new research programme in mathematics education: the "epistemological programme." This paper describes and interprets some of the contributions of the "anthropological…

In this conceptual paper, the author argues that equity research in mathematics education is a genre that operates according to certain implicit ideological and rhetorical rules and assumptions--or discursive formations--that form how one can think about equity and inequity. One such rule that forms the basis of this paper is the axiom of…

Examining the research on mathematics education of multicultural students in Turkey and identifying weak points can be a guide for better educational practices. The purpose of this study was to review previous studies on the mathematics education of students from different cultures in Turkey and to identify trends in those studies. The research…

Competitions and related activities are an essential part of mathematics education for gifted students. China has been one of the most successful countries in recent decades in the International Mathematical Olympiad. To illustrate the Chinese experience of mathematics competitions, in this paper we first present a historical sketch of Chinese…

In this theoretical research report we reflect on the challenges of becoming more fox-like in mathematics education work. Using a communities of practice motivating theoretical lens, we compare and discuss the differences in defining, creating, and accessing knowledge between virtual and scholarly communities of practice in mathematics education.…

The synergistic potential of cognitive neuroscience and education for efficient learning has attracted considerable interest from the general public, teachers, parents, academics and policymakers alike. This review is aimed at providing 1) an accessible and general overview of the research progress made in cognitive neuroscience research in…

Multiple external representations (MERs) are central to the practice and learning of science, mathematics and engineering, as the phenomena and entities investigated and controlled in these domains are often not available for perception and action. MERs therefore play a twofold constitutive role in reasoning in these domains. Firstly, MERs stand…

It is essential that a solid research base be established to provide a foundation that will enable the field of early childhood teacher education to examine whether, for whom, and in what ways teacher education matters. The purpose of this article is to review several important domains in early childhood teacher education to illustrate the…

We discuss contemporary theories in mathematics education in order to do research on research. Our strategy consists of analysing discursively and ideologically recent key publications addressing the role of theory in mathematics education research. We examine how the field fabricates its object of research by deploying Foucault's notion of…

A deep understanding of students' learning processes is one of the core challenges of research in mathematics education. To achieve this, different theoretical lenses are available. The question is how these different lenses compare and contrast, and how they can be coordinated and combined to provide a more comprehensive view on the topic of…

These proceedings are a written record of the research presented at the 41st annual meeting of the North American Chapter of the International Group for the Psychology of Mathematics Education (PME-NA) held in St. Louis, Missouri, November 14-17, 2019. This year's conference theme is "...against a new horizon." The papers comprise 67…

Enactivism, as an interesting and useful theoretical underpinning is gaining traction in Mathematics Education research. It forms the central theme of this paper whose aim is two-fold: first to describe and engage with how elements of enactivism informed a PhD study, both on a theoretical and analytical level, and second to reflect on the enacted…

To be part of small scale classroom research for many practitioners is nothing more than a dream. This account describes how student teachers use such an approach to consider the rationale that underpins the teaching and learning of primary mathematics, and to enable them to question current debates, policies, and practices. The accounts from…

Research in mathematics education has investigated teachers' professional knowledge in depth, comprising two different approaches: a cognitive and a situated perspective. Linking these two perspectives leads to addressing situation-specific skills such as perception, interpretation and decision-making, indicative of revealing a teacher's knowledge…

In this article, I deal with the question of emancipation in education. In the first part of the article, I argue that contemporary concepts of emancipation are explicitly or implicitly related to the idea of the sovereign subject articulated by Kant and other philosophers of the Enlightenment. I contend that our modern enlightened concepts of…