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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 of 7-10% at age 33. In recent years, this finding has contributed to the government's agenda of increasing participation in post-16 study of advanced mathematics in England. Given that the 1958 NCDS participants are now 57 years old, this paper repeats this important work using the 1970 British Cohort Study (BCS). Updated models are used to investigate whether the A-level mathematics premium also existed at age 34 for the 1970 BCS participants. There does appear to be a return of approximately 11% when replicating the original model closely but the robustness of this result depends on the model specification, sample size and the handling of missing data. We consider theoretical explanations of these findings and their implications for policy and future research.

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' as coherent entities with discussions often focusing on products (research and policies) rather than on the relationships between producers (researchers and policy makers). Here we take one piece of research on qualifications that has influenced policy rhetoric over the last 5 years. We trace the career of the research from its production in the late 1990s in order to understand the conditions of its dormancy, reemergence and use over the ensuing years. The paper serves to document the case, which is important in its own right, but also proposes a typology of ways in which research gets adopted and adapted into policy.

There is growing support for making the study of mathematics to age 18 compulsory for all young people in England. This paper aims to inform this debate through new insights into historic A-level Mathematics participation trends. We analyse full-year cohorts from the Department for Education's National Pupil Database for age-16 students from 2004-2010, a total of just over 4.5 million young people. Using a cohort-tracking approach we aim to better understand the flow of young people through upper secondary mathematics education. Earlier work identified GCSE attainment as the strongest predictor of A-Level Mathematics participation. In this paper we show that the percentage of students progressing to A-Level by GCSE grade has not changed significantly over the period in question, with some exceptions. This implies that the increase in A-level Mathematics numbers is largely explained by the growing proportion of higher GCSE grades. We discuss the implications for policy that this raises, e.g. the possible impact of making GCSE mathematics more demanding.

It has been proposed that boarding schools in England can be used to provide a stable education and care environment for vulnerable children in need, and the government is expanding their use. However, for vulnerable children to be placed in boarding schools, social workers will need to be willing to contemplate boarding as a viable care option. In this study we interviewed N = 21 social care practitioners including directors, senior and middle managers, frontline social workers, social worker-academics and family support workers who work with vulnerable children. Using thematic analysis of the transcribed interviews, seven major themes identified a range of issues and concerns held by social care workers about placing vulnerable children in boarding schools. We present these themes and consider the issues that will have to be addressed prior to changes in policy and practice. The study concludes that many of those within the social work profession are unlikely to consider boarding as an intervention for children in need. Further research in this area is a matter of urgency.

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Participation in any kind of mathematical study during upper secondary education in England is significantly lower than in other educational systems. As a result, many English students enter university at age 18 or 19 having not studied mathematics for two years or more and relatively large proportions of students entering numerate degree programmes do not have a qualification in advanced school mathematics. To date, the mathematical preparation of those university entrants who do not have an advanced school mathematics qualification has not been documented. This study addressed this by analysing a large dataset formed from the combination of two large national databases in England: the National Pupil Database (NPD) and the Higher Education Statistical Agency (HESA) Database (N=253,557). This dataset provided the school mathematics qualifications of undergraduates from England across all degree subjects, who took GCSE Mathematics in 2008 and entered a UK university between 2010 and 2012. The study found that approximately 10% of undergraduates did not have a C grade at GCSE Mathematics, which is commonly assumed to be a minimum requirement for entry to university. In general, degree subjects with more mathematical demand recruited students with stronger mathematical backgrounds: 64% of undergraduates in subjects with high mathematical demand had an advanced school mathematics qualification compared to 24% in subjects with medium mathematical demand and 12% in subjects with low mathematical demand. For some university subjects with high and medium mathematical demand, for example Electronic and Electrical Engineering, there were substantial proportions of students with weak school mathematics backgrounds. There was considerable variation across universities with undergraduates in the high status Russell Group institutions having stronger school mathematics qualifications within the same degree subject.

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 mathematics. This paper reports findings from a cluster-sampled survey of over ten thousand 17-year-olds in England in 2015. Participants' views on post-16 mathematics are presented and discussed. The main finding is that they are strongly opposed to the idea of compulsory mathematical study, but are less antithetical to being encouraged to study mathematics beyond 16. We consider how attitudes vary by gender, prior attainment, study patterns and future aspirations. The paper considers the implications of these findings in the current policy landscape.