Andy Noyes

University of Nottingham | Notts · School of Education

Since policy changes in 2014 about who studies mathematics post-16 in England, the mathematics teaching workforce in further education (FE) colleges has grown and diversified. The question of how best to develop the professional practice of this changing workforce is, however, unresolved. Teachers in a recent national study report the benefits of n...

Improving mathematical skills is a priority in England, and a series of policy levers and government change projects have focused on improving mathematical outcomes in further education (FE) in recent years. Yet little is known about the mathematics teacher workforce that supports these students on vocational and technical programmes. This paper ad...

Links between mathematical attainment and economic performance, coupled with England’s poor showing in international comparisons of skills, have focussed attention on post-16 mathematics education, for example, in the UK Government’s 2017 Industrial Strategy. Whilst high-stakes academic qualifications at 16 (GCSE) and 18 (A-level) have stood the te...

There have been repeated attempts to establish mathematics qualifications for lower attaining students aged 16 years and over on vocational pathways in England. In 2004, the Tomlinson Report proposed Functional Mathematics and this paper examines the trajectory of this qualification (later Functional Skills mathematics) through analysis of policy l...

England’s Further Education (FE) sector is in permanent flux with policy interpretations and translations taking place at multiple levels within increasingly large and complex multi-site organizations. Devolved responsibility gives managers considerable influence in policy enactment processes which can lead to within-college tensions between vocati...

Mathematics education is highly valued in advanced economies due to its role in developing skilled workforces, economic resilience and social wellbeing. However, university academics across disciplines regularly bemoan undergraduate students’ under-preparedness for the mathematical and quantitative demands of undergraduate degree programmes. In thi...

Following sustained discussion regarding the relationship between advanced mathematics and science learning in England, the Government has pursued a reform agenda in which mathematics is embedded in national, high stakes A-level science qualifications and their assessments for 18-year-olds. For example, A-level Chemistry must incorporate the assess...

The mathematical preparedness of science undergraduates has been a subject of debate for some time. This paper investigates the relationship between school mathematics attainment and degree outcomes in biology and chemistry across England, a much larger scale of analysis than has hitherto been reported in the literature. A unique dataset which link...

The UK Government has set a goal that the ‘vast majority’ of students in England will be studying mathematics to 18 by the end of the decade. The policy levers for achieving this goal include new Core Maths qualifications, designed for over 200,000 students who have achieved good grades at the age of 16 but then opt out of advanced or A-level mathe...

The relationship between research and policymaking has been discussed repeatedly. However, the debate tends to be in general, abstract terms or from a macro-economic perspective with any examples described in a fairly cursory way. Despite the inherent complexity of the research-policy interface, analyses tend to homogenize ‘research’ and ‘policy’ a...

In the late 1990s, the economic return to Advanced level (A-level) mathematics was examined. The analysis was based upon a series of log-linear models of earnings in the 1958 National Child Development Survey (NCDS) and the National Survey of 1980 Graduates and Diplomates. The core finding was that A-level mathematics had a unique earnings premium...

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 D...

The political importance of mathematics in post-16 education is clear. Far less clear is how mathematics does and should relate to vocational education. Successive mathematics curricula (e.g. core skills, key skills) have been developed in England with vocational learners in mind. Meanwhile, general mathematics qualifications remain largely disconn...

For many vocational students in England, mathematics is now a compulsory part of their programme, yet the inclusion of an academic subject within a vocational course presents challenges. In this paper, an analysis of a series of case studies of vocational student groups in Further Education colleges in England shows how contrasting practices in ‘fu...

The issue of whether trainee teachers in the post-16 sector should have their classroom practice graded has been debated for a number of years. The case for training courses retaining an emphasis on written and verbal ‘developmental’ feedback at the expense of ‘judgements’ appears to be lost. This article is set within the context of an ever-growin...

Mathematics education is rarely out of the policy spotlight in England. Over the last 10 years, considerable attention has been given to improving 14–19 mathematics curriculum pathways. In this paper we consider some of the challenges of enacting curriculum change by drawing upon evidence from our evaluation of the Mathematics Pathways Project (MPP...

This article analyses aspects of the process of developing ‘functional’ assessments of mathematics at the end of compulsory schooling in England. A protocol that was developed for scrutinising assessment items is presented. This protocol includes an indicator of the ‘authenticity’ of each assessment item. The data are drawn from scrutiny of 589 ass...

The 2007 Trends in International Mathematics and Science Survey highlighted how attitudes to mathematics had declined sharply for students in many of the high attaining countries in the survey, England being no exception. There is a notable drop in positive attitudes to mathematics between 9 and 14, as well as a remarkable decline for 14 year olds...

Given the commonly accepted view that having a mathematically well-educated populace is strategically important, there is considerable international interest in raising attainment, and increasing participation, in post-compulsory mathematics education. In this article, multilevel models are developed with the use of datasets from the UK Department...

There has, for some years, been a growing concern about participation in university-entrance level mathematics in England and across the developed world. Extensive statistical analyses present the decline but offer little to help us understand the causes. In this paper we explore a concern which cannot be explored through national data-sets, namely...

This article explores some theoretical and methodological problems concerned with scale in education research through a critique of a recent mixed-method project. The project was framed by scale metaphors drawn from the physical and earth sciences and I consider how recent thinking around scale, for example, in ecosystems and human geography might...

In this paper we explore how mathematics department leaders manage curriculum (what is taught), teaching (how it is taught) and learner progression (what results) for 14–19 year olds. The background to the study is a range of national, and international, concerns about participation rates in university entrance level mathematics. Given the recommen...

This paper explores the potential impact of a national pilot initiative in England aimed at increasing and widening participation in advanced mathematical study through the creation of a new qualification for 16- to 18-year-olds. This proposed qualification pathway—Use of Mathematics—sits in parallel with long-established, traditional advanced leve...

This chapter explores whose notions of quality and equity get privileged in shaping mathematics education. By presenting a case of the process of policy recommendation, curriculum remodelling and assessment design for 14–16-year-olds in England, I aim to open a comparative dialogic space for others to consider the similarities to, and differences f...

In this article we draw upon focus group data from a large study of learner trajectories through 14–19 mathematics education to think about the notion of relevance in the mathematics curriculum. Drawing on data from three socially distanced sites we explore how different emphases on what might be termed practical, process and/or professional forms...

In recent years the mathematics education research community has undergone a social turn towards a greater interest in the values and broader educational purposes of mathematics education, including issues of social justice and citizenship education. Building on these developing interests, this paper presents a conceptual framework that links the t...

This article considers participation in post-compulsory mathematics education (Advanced or A-level) which is currently exercising education policy-makers in England and elsewhere. I argue that the central problem is neither that of devising an economically motivated strategy for increasing student numbers nor simply raising the level of mathematica...

In recent years in England, considerable attention has been given to a range of apparent crises in mathematics education, one of which has been the long term decline of participation in university-entrance level (Advanced or A level) mathematics. Given the negative impact upon mathematics participation of a national reform of Advanced level qualifi...

This study, based on in‐depth interview data from a sample of schools in the midlands of England, offers an analysis of UK teachers' perceptions and understandings of school self‐evaluation at a point when national accountability procedures have required that all schools complete and constantly update a web‐based self‐evaluation schedule, which is...

The revised inspection system in England requires schools to maintain a web-based self-evaluation, which is then used as the basis for high-stakes external inspection. This paper develops a Foucauldian analysis of interview data from a single case study site to illustrate the ways that new regimes of truth are created within schools and to consider...

This paper theorises aspects of the distribution of newly qualified teachers in England, which is not arbitrary but patterned with differential effects upon socially distanced learners. As part of a larger project exploring the sociological strategies and stratification whereby teachers choose, and are chosen, for their first teaching post, I consi...

In this paper I explore the structuring of English children into learning and life trajectories and the part that mathematics has in this process. Using case reports of two ten-year olds in their final year of primary school education, I examine how broader family social milieu impact upon mathematics learning trajectories. Stacey and Edward live n...

Why is it that so many pupils are put off by maths, seeing it as uninspiring and irrelevant, and that so many choose to drop it as soon as they can? Why is it socially acceptable to be bad at maths? Does the maths curriculum really prepare pupils for life? This book presents some answers to these questions, helping teachers to think through their o...

This paper reports how metaphor theory was used to explore pre-service mathematics teachers’ beliefs about mathematics and the learning and teaching thereof. Furthermore, it outlines how this theory was mobilised to engender self-critique and professional development with these teachers. The core of the paper reports findings from an analysis of th...

School transfer acts like a prism, diffracting children’s social and learning trajectories. In this paper I explore this sociological effect through two case studies of children moving from the primary to the secondary school. The impacts of the school, peer and family fields are explored using Bourdieu’s theory of practice, and shifts in the relat...

This paper presents an innovative method for qualitative research in education. The video dairy technique was developed and used alongside other qualitative methods to map the socio‐cultural landscape of primary‐school children's learning dispositions prior to their transfer to secondary school. The larger project comprised a case study of a group...

What difference do teacher educators really make? This paper explores the role of mathematics student‐teachers' pre‐training dispositions (habitus) in reproducing classroom practice, and the effect of different training contexts (habitat) upon what Bourdieu called “dispositional harmonisation”. These Bourdieuan concepts are mobilised to examine asp...

This article explores the metaphor of learning landscapes, a tool developed in order to map children's experiences of, and attitudes to, learning (mathematics) before and after the transfer from primary to secondary school. Firstly, the continuing problems surrounding school transfer and why a re-examination of this is required are considered. Seco...

This research explores the complexities of children's everyday experience, examining the common threads and distinctive textures of the lives of four children on their educational journeys from primary to secondary school. Whilst the classroom focus of the empirical work has remained with the teaching and learning of mathematics, I have retained a...

This is the story of Marie and Edward as they approach the time of transfer from the primary to the secondary school. They both consider themselves to be successful mathematicians and have shared common classroom experiences throughout their time in the primary school. However, as they approach this critical relocation point it becomes clear that t...