In this paper we argue that the choice of research methods reflects the theoretical framework even before these methods have been put to use in case studies. We understand the term 'case study' broadly in this paper and argue that neither thinking of them as cherry-picked cases to support preconceived ideas about mathematical practices nor…

Identity research in mathematics education has become increasingly prominent over the past two decades. In the last few years, there have been several reviews of identity literature in the field of mathematics education generally, or specifically focused on mathematics learner identities or mathematics teacher identity. We begin our paper by…

New Artificial Intelligence methods hold the potential to transform qualitative research in mathematics education. This study introduces and uses the machine learning technology of simple neural networks to automatically analyse transcript data. This serves as the basis to reflect on the use of machine learning technology in order to uncover some…

I found the need to explore the difficulties faced by Arabic-speaking English language learners studying mathematics as soon as I moved to the United Arab Emirates. Thus, I began a line of research that aimed to explain and understand these issues and find effective teaching strategies for the students. This case study describes the first research…

I commenced my project in 2010 with a view to developing a teaching model that would make the experience of learning mathematics and statistics fun for university students enrolled on a variety of degree programmes. These students are compulsorily required to study mathematics and statistics courses as core modules of their degree work.…

In this paper I take up the questions posed by the conference organisers with respect to what we have learned and where we are going in technology-based research in mathematics education research. I begin by troubling the metaphors of crossroads and intersections and argue--through a wide range of considerations in relation to past research, to…

While audio recordings and observation might have dominated past decades of classroom research, video data is now the dominant form of data in the field. Ubiquitous videography is standard practice today in archiving the body of both the teacher and the student, and vast amounts of classroom and experiment clips are stored in online archives. Yet…

"What works" policies are the latest incarnation of best practices in educational research. Instituted by various organisations internationally, they define what kind of research counts as "evidence" for reform-oriented decision-making. While some countries rely on systematic analyses and meta-analyses, the U.S. favours primary…

This commentary articulates the need to investigate problems of mathematics instruction at community colleges. The authors briefly describe some features of this often-ignored institution and the current status of research. They also make an argument for how investigations of instruction in this setting can both advance understanding of this…

Mathematics education is highly regarded as a research field within our region, especially when compared to other fields within the broader education discipline. The field has been relatively cohesive, well organised and internationally influential in a universally strong field. Mathematics education research has developed and evolved in…

In this article, the authors review International Large-Scale Assessment (ILSA)-based research over the last several decades, with specific attention on cross-national analysis of mean differences between and variation within countries in mathematics education. They discuss the role of sampling design and "opportunity to learn" (OTL)…

In this paper, a focus is made on defining processes at stake in an unfamiliar situation coming from discrete mathematics which brings surprising mathematical results. The epistemological framework of Lakatos is questioned and used for the design and the analysis of the situation. The cognitive background of Vergnaud's approach enriches the study…

Selection bias is a problem for mathematics education researchers interested in using observational rather than experimental data to make causal inferences about the effects of different instructional methods in mathematics on student outcomes. Propensity score methods represent 1 approach to dealing with such selection bias. This article…

Collaborative research is a demanding endeavor, and for a group of undergraduate students tasked with identifying their own interdisciplinary research problem, the challenges are even greater. "It was scary--we didn't know what to ask the professors, and we couldn't decide on a research question," says Miran Park, a student at the University of…

Currently, there are more theories of learning in use in mathematics education research than ever before (Lerman & Tsatsaroni, 2004). Although this is a positive sign for the field, it also has brought with it a set of challenges. In this article, I identify some of these challenges and consider how mathematics education researchers might think…