In this paper, we approach modelling mathematics dispositions from a different methodological perspective in order to shed more light into the complex interplay between teaching practices and students' learning outcomes. We draw on survey data from around 5000 students from Year 7-11 (age 11-16) from 40 Secondary schools in England. Our…

Teachers, examiners and assessment experts know from experience that some candidates annotate exam questions. "Annotation" includes anything the candidate writes or draws outside of the designated response space, such as underlining, jotting, circling, sketching and calculating. Annotations are of interest because they may evidence…

The long-standing debate into the potential benefit of developing mathematical thinking skills through learning to program has been reignited with the widespread introduction of programming in schools across many countries, including England where it is a statutory requirement for all pupils to be taught programming from 5 years old. Algorithm is…

This study aims to explore the conceptualisations of function that some students express when they are responding to fictitious students' statements about functions. We also asked them what is meant by "function" and many voluntarily used examples in their responses. The task was developed in collaboration with teachers from two…

To illustrate similarities and differences in lower secondary level mathematics teaching with higher achievers and thereby explore privileging processes, we contrast a teaching episode in Baden-Württemberg, Germany with one in South West England. These have been selected from a larger study as typical within each region for higher achieving…

To an unreconstructed cognitivist with experience of developing General Certificate of Secondary Education (GCSE) examinations and national tests in mathematics, the three papers which provide the core of this special issue (Morgan & Sfard; Morgan, Morgan & Tang) provided a refreshing opportunity to consider examination items from a…

Across the set of articles in this Special Issue, various authors describe methodology and methodological decisions, illustrate analyses, and share emerging findings from The Evolution of the Discourse of School Mathematics (EDSM) project. In general, the investigators were interested in identifying "changes over time in the kind of…

A considerable body of global educational literature has examined how schooling policy based on measuring and managing performance has narrowed children's access both to curriculum breadth and to diversity in pedagogy. This article approaches these curriculum dilemmas within the global concern for children's wellbeing and social justice. In…

The influences on governments for policy changes in schools range across many agencies, including the political party in power. When policies change, the sources of these influences are not always clear. The project whose work is presented in this special issue examines what these changes look like in terms of the differences in assessment tasks…

This paper reports on classroom observations of senior high school mathematics lessons with a focus on the use of digital technology. The observations were of teachers enrolled in an in-service course, Teaching Advanced Mathematics. The paper reports selected results and comments on: software that was observed to have been used; the use (or not)…

This article explores the perspectives of three senior managers in higher education institutions in England regarding their mathematics and statistics support provision. It does so by means of a qualitative case study that draws upon the writing of Ronald Barnett about the identity of an "ecological" university, along with metaphors…

The aim of this paper is to explore further an under-developed area--how drivers of curriculum, pedagogy and assessment conceptions and practices shape the creation and uses of technologically based resources to support mathematics learning across informal, non-formal and formal learning environments. The paper considers: the importance of…

From a discursive perspective, differences in the language in which mathematics questions are posed change the nature of the mathematics with which students are expected to engage. The project The Evolution of the Discourse of School Mathematics (EDSM) analysed the discourse of mathematics examination papers set in the UK between 1980 and 2011. In…

Gendered barriers in education and attrition along the academic and professional pipeline are key determinants of the current STEM skills shortage. While enrolment in STEM undergraduate courses has been increasing in the recent decades, STEM degree choices still suffer from considerable gender imbalance, whereby women are underrepresented in…

There is growing support for making the study of mathematics to the age of 18 years compulsory for all young people in England. This article aims to inform this debate through new insights into historic A-Level Mathematics participation trends. We analyse full-year cohorts of 16-year-old students from the Department for Education's National Pupil…