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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 addresses this knowledge gap by examining important features of the mathematics teacher workforce in colleges and the implications for recruitment, initial training and ongoing professional development. We report findings from a national survey targeted at all mathematics teachers in around one-sixth (N = 31) of England's general FE colleges. Teachers have transitioned into FE from three main areas: another career, curriculum area, or educational context. We discuss the varied assets and training needs of these three subgroups and argue that the mathematics teacher cohort in FE should be seen as distinct from that in either primary or secondary education. We highlight the bimodal distribution of mathematics qualifications amongst this workforce; those having level 2 mathematics qualifications being more likely to be teaching functional skills mathematics courses than GCSEs. The rapid expansion of the mathematics teacher workforce that followed the changes to the condition of funding in 2014 has come disproportionately from teachers who were previously working in schools. This, together with a trend of funnelling increasing numbers of FE students into academic mathematics rather than functional skills courses, raises important questions about the nature of mathematical education for learners on vocational and technical programmes, and the teachers thereof. [ABSTRACT FROM AUTHOR]

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 disconnected from vocational learning. Following a brief historical survey of mathematics within vocational education, the paper presents findings from a nested case study of student groups in three large Further Education colleges in England. The primary unit of analysis herein is student groups learning Functional Mathematics in two vocational areas: construction and hairdressing. We show how approaches to organising teaching, developing connected curricula and classroom pedagogy tend toisolateorintegratemathematics from/with the vocational experience.Integratedapproaches are shown to impact positively on student engagement and attitudes to learning mathematics. The paper concludes by discussing the potential impact of academic qualifications displacing vocationally relevant mathematics. [ABSTRACT FROM PUBLISHER]

The accuracy of the results of the national tests in English, mathematics and science taken by 11-year olds in England has been a matter of much debate since their introduction in 1994, with estimates of the proportion of students incorrectly classified varying from 10 to 30%. Using live data from the 2009 and 2010 administration of the national tests, this paper uses a number of models, drawing on both classical and modern test theories, to explore the relationship between test reliability, and the extent of misclassification when a student’s test score is reported in terms of one of a small number of discrete levels of achievement. The results indicate that across the two cohorts (2009 and 2010) and six models, the averages of classification accuracy of the tests were about 85%, 90% and 87% in English, mathematics and science, respectively. Moreover, the different models yielded very similar results; the standard deviations of the values of classification accuracy generated were 1.9% for English, 1.0% for mathematics and 1.3% for science. [ABSTRACT FROM PUBLISHER]

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 over time. This paper explores survey data collected from over 3000 11-year-olds in 16 schools during 2008 with the goal of exploring possible factors that might be contributing to this attitudinal decline. The association between student-centred teaching and enjoyment of learning mathematics is reported as part of a multi-scale analysis that shows the extent to which student experiences differ between schools and between classes within schools. [ABSTRACT FROM AUTHOR]

In this paper, based on a project funded by the UK Economic and Social Research Council considering how people position themselves in relation to popular representations of mathematics and mathematicians, we explore constructions of mathematicians in popular culture and the ways learners make meanings from these. Drawing on an analysis of popular cultural texts, we argue that popular discourses overwhelmingly construct mathematicians as white, heterosexual, middle-class men, yet also construct them as 'other' through systems of binary oppositions between those doing and those not doing mathematics. Turning to the analysis of a corpus of 27 focus groups with school and university students in England and Wales, we explore how such images are deployed by learners. We argue that while learners' views of mathematicians parallel in key ways popular discourses, they are not passively absorbing these as they are simultaneously aware of the cliched nature of popular cultural images. [ABSTRACT FROM AUTHOR]

Is there such a thing as Irish mathematics, as opposed to mathematics which happens to have been done in Ireland or by thoseborn in Ireland? Certainly, Ireland in the nineteenth century was in one of its mathematically richest phases, with such men as William Rowan Hamilton, James MacCullagh, George Salmon, and George Fitzgerald to inspire generations of students and researchers, as well as exporting to England such talented mathematicians as Kelvin, Stokes and Larmor. This paper seeks to explore, through examining the mathematics taught and researched, whether the category of ‘Irish mathematics’ is one that makes sense for this period. [ABSTRACT FROM AUTHOR]

The National Numeracy Strategy was introduced in England in 1998 to reform mathematics teaching in all primary schools. The strategy has been widely implemented and this paper investigates some of the changes that are evident after the first five years. Reporting a comparison between studies in 1998 and 2003 of pupils’ calculating strategies for division, this study shows a small improvement overall but lack of the uniformity that may be expected from a national Strategy. Structured written recording, progressively developed from more intuitive understanding, was not evident in much of the pupils’ work. In some schools there was success with the new ‘chunking’ written method, identified in the Framework as ‘informal’, while in less successful schools, pupils continued to use various informal and inefficient strategies. While in 1998 success of boys and girls was not significantly different, in 2003 the boys were more successful. The boys made more use of informal working and mental strategies, while the girls relied on more structured written methods and in the schools where girls did better they used mostly the chunking algorithm. [ABSTRACT FROM AUTHOR]

This paper describes a study exploring young people's perceptions of the mathematics involved in five everyday activities. It is based on individual interviews with pupils in Years 7 and 10 in four English secondary schools. Results suggest that young people are more aware of the mathematics embedded in everyday activities than previously thought. There was no evidence to support existing theories that young people have particular difficulties identifying mathematics within practical activities or those traditionally performed by women. However, participants did seem to restrict the label mathematics to activities involving a problem with a single or limited solution, and to activities which require a formal rather than experimental or intuitive approach. Some participants also seemed to relate their discussion of mathematics only to the aspect of each activity which takes most time and attention. [ABSTRACT FROM AUTHOR]