This paper identifies binary oppositions in the discourse of mathematics education and introduces a binary-epistemic model for (re)conceptualising these oppositions and the epistemic-pedagogic problems they represent. The model is attentive to the contextual relationships between pedagogically relevant binaries (e.g., traditional/progressive,…

Studies have reported that pre-service teachers often enter teacher preparation programs with beliefs and attitudes not conducive to teaching the subject conceptually. In the USA, the Common Core State Standards for Mathematics have brought a renewed focus on procedural and conceptual understanding. However, many U.S. pre-service teachers have…

Over the past two decades, mathematics education reformers have increasingly called for new approaches to assessment. This call urges mathematics teachers to merge their assessment with pedagogy, to employ assessments that engage students in the process of "doing mathematics," and to exploit assessment to support learning. This paper…

Concerns about the negative mathematical beliefs of prospective primary teachers have arisen from evidence that such beliefs detrimentally impact future teaching practices. The aim of this study was to explore factors contributing to the effectiveness of a mathematics content-focused intervention designed to nurture positive mathematical beliefs.…

This paper is based on data gathered during visits to Uganda and Malawi, conducted by the International Math-teacher Professionalization Using Lesson Study (IMPULS) project and the Japanese International Cooperation Agency (JICA). The author's observations and experiences highlighted misconceptions about lesson study. The paper concludes that…

Teams of educators conducted lesson study independently, supported by a resource kit that included mathematical tasks, curriculum materials, lesson videos and plans, and research articles, as well as protocols to support lesson study. The mathematical resources focused on linear measurement interpretation of fractions. This report examines the…

Promising improved student and teacher learning, Japanese lesson study has attracted many international educators to try to implement it in their own contexts. However, a simple transference model of implementation is likely to meet difficulties. Key determinants of any adaptation will be differences between existing conventions of pedagogy and of…

Lesson study, originating in Japan, has been implemented in many different countries as an approach to improve teaching and learning. But some mechanisms of lesson study are not fully understood. In particular, researchers and educators trying to implement lesson study in their own schools often ask about the role of knowledgeable others who…

Lesson study developed organically in Japan over a period of 140 years, whereas in Indonesia, lesson study was introduced as a top-down initiative. This research explores beyond general cultural differences by illustrating how the daily concerns of teachers and their social interactions differ in Japan and in the case of an Indonesian school, the…

This case study explored how students disaffected with their school experience were scaffolded during their participation in a middle-school mathematics classroom. Of particular interest were the level of student engagement in discussion about the mathematics being presented by the teacher and the approach to doing mathematics being displayed by…

In recent years, the mathematics education research community has given increased focus to the use of cognitively demanding, challenging tasks and the demands placed on students and teachers by their use. In particular, there is evidence that a major issue is students' lack of persistence when working on such tasks. In this article, we report…

We investigate interpersonal difficulties that student teachers and cooperating teachers may experience during the teaching internship by exploring the tension between one high school mathematics student teacher and his cooperating teacher. We identified seven causes of this tension, which included different ideas about what mathematics should be…

As a secondary mathematics teacher, I used practitioner action research to determine effective ways to intervene with students working in groups, with the goal of improving their communication. Utilising transcripts of group interactions and teacher interventions, field notes, and student feedback, I discovered ten different issues that prevent…

The aim of this collaborative study was to understand what factors beginning secondary mathematics teachers attribute their success to in the classroom, regardless of their preparation program. Further description of how and when beginning teachers reported acquiring important teaching attributes provides a perspective on how they make the…

We reject a trajectory approach to teaching that classifies "good" and "bad" teaching actions and seeks to move teachers' practices from one of these poles to the other. In this article we offer instead a conceptualisation of mathematics teaching actions as a "landscape of possibilities". We draw together terms…