An investigation of Physics undergraduates’ attitudes towards mathematics

In recent years, the failure rate on first year mathematics modules on Physics courses at Loughborough University has given cause for concern. It was feared that failure in the first year would result in students performing poorly in future mathematics modules. Hence, a proactive support system was introduced for the mathematically less well-prepared first year Physics students in October 2005. On completion of the first mathematics module, this initiative showed some successful features in terms of the results of the less well-prepared students. However, the use of qualitative research methods revealed a difference in attitudes towards mathematics between the wellprepared and less well-prepared students. This paper outlines the students’ attitudes towards mathematics expressed through questionnaires and individual interviews. It compares the well-prepared and less well-prepared students’ attitudes towards mathematics prior to university and discusses the differences between the two cohorts. The paper also examines how the introduction of a support system has affected the students’ attitudes. A key outcome, in terms of the less well-prepared students, is that the first semester experience was positive in terms of increasing enjoyment of mathematics, but was negative in terms of feeling confident in mathematics. Finally, the paper also analyses data taken from individual interviews with some students on students’ learning approaches towards mathematics. These are investigated closely and comparisons are again made between the well-prepared and less well-prepared students. The analysis reveals that the less well-prepared students failed to adapt their learning approach to one suitable for Higher Education

Safety in numbers: mathematics support centres and their derivatives as social learning spaces

This article reports on data gathered from second and third year mathematics undergraduates at two British universities which have developed Mathematics Support Centres, primarily with a view to supporting skills development for engineering students. However, an unforeseen consequence of the support centres was the mathematics students’ colonisation of the physical space, and the development of group learning strategies which involve a strong community identity. Drawing on a socio-cultural theoretical framework, based primarily in the concept of a figured world, the article explores the students’ perceptions of mathematics learning and their experiences of university-level teaching, focusing on the ways in which they collectively build images of themselves as participants in an undergraduate mathematics community, resourced by the physical safe spaces that they have created, and which they now regard as essential sites of their learning

Community perspectives of mathematics and statistics support in higher education: the role of the staff member

Mathematics support now forms a widely accepted and important part of the provision of higher education institutions within the UK and Ireland to assist students within their learning of mathematics and statistics, particularly as they make the transition to university study. Over the last 15 years it has seen growth as an area of scholarship, and behind this has been the role of those staff members who oversee, develop, deliver and research mathematics support within their institutions. To date, however, there has been little work that explores the roles, opportunities and recognition afforded to such individuals, but this is important if visibility for mathematics support as part of the provision and practice of higher education institutions is to continue to grow and a sustainable community of practitioners is to be established. Here we report on a survey of 51 individuals with responsibility for the day-to-day operation of the mathematics and statistics support provision within their institutions. Findings show that the majority of staff with such responsibility for the delivery of mathematics support within institutions are in permanent roles and that in many instances this forms the sole focus of their employment; there also exists an important and visible role for postgraduates in the delivery of mathematics support. Finally, there is evidence that most staff working in this area feel recognised and well supported with opportunities to develop their roles, engage with professional development, and to contribute to a national community of practice

Community perspectives of mathematics and statistics support in higher education: building the infrastructure

Over the last two decades, mathematics support has, increasingly, been seen by higher education institutions as a vital mechanism for helping students enhance their mathematical and statistical skills, particularly as they make the transition to university study. Several studies have shown the growth of mathematics support across the higher education sector within the UK, Ireland and beyond. Others have demonstrated its impact upon learners. However, few have explored the extent to which mathematics support is embedded within institutions or the extent to which it is likely to be sustainable. Such analyses are important for both the institutions themselves and the many colleagues who are working to develop mathematics support into an area of study in its own right. Here, we report on a survey of 47 institutions offering mathematics and statistics support within the UK. Findings show that, within many institutions, mathematics support is now embedded as part of student-focused institutional support provision. Further, its impacts are increasingly extending beyond those students who access the support: there is evidence that mechanisms are in place for feeding findings from mathematics and statistics support into mainstream teaching and learning and curriculum development. Significantly, the analysis shows that mathematics support offers good potential for sustainability such that the legacy of national endeavours to establish it more widely will continue to exist into the future

Reshaping understandings of teaching-learning relationships in undergraduate mathematics: an activity theory analysis of the role and impact of student internships

This article presents an analysis of an intervention intended to address an aspect of undergraduate mathematics education that is frequently described as a situation of deadlock, between second-year undergraduates who are disillusioned with their university mathematics experience, and mathematics departments which describe many students as lacking interest in, and awareness of, the nature of university-level mathematics and how it is learned: whilst departments strive to support such students, the extent to which they can do so is often seen as limited. The SYMBoL project was designed to address this situation in terms of improving dialogue between students and staff through the introduction of undergraduate internships which challenged traditional hierarchical roles and relationships. Using third generation activity theory to analyse the nature and impact of the internship role, we show how the project legitimised the student voice as channelled through that of the interns, created shifts in perceptions of the problem, and began a process of transformational learning about possibilities in undergraduate mathematics teaching. We consider the implications for developing university mathematics teaching within the wider context of tensions across university systems

Senior management perspectives of mathematics and statistics support in higher education: moving to an ‘ecological’ approach

© 2016 Association for Tertiary Education Management and the LH Martin Institute for Tertiary Education Leadership and ManagementThis 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 associated with the notion of organisations as living ‘organisms’, suggested by Gareth Morgan. Using these ideas as a heuristic sheds light upon the view that whilst outwardly universities appear to represent a uniform landscape, mathematics and statistics support alternatively, can be seen as different ‘species’ within the higher education system. The study illustrates how three universities occupying contrasting ecological ‘niches’ are responding to the challenges they face by providing and planning different forms of learning support for mathematics and statistics. In conclusion, it is recommended that senior managers reflect upon the possibilities offered by the idea of ‘ecological’ identities in order to explore how they might respond strategically to a rapidly changing environment. This includes adapting various solutions and the further development of innovative ways of supporting students’ transitions throughout the academic lifecycle. In addition, an ecological approach could also aid the formation of the co-creational relationships and networks required for the future success of those developments

The SEFI Maths Working Group: current offerings and future tasks

In this discussion paper we firstly summarise the current offering of the SEFI Mathematics Working Group with regard to orientation for those who are interested in the mathematical education of engineers. Based on this summary we identify directions for further work. Finally, we present some ideas of how progress might be made in these directions

A framework for mathematics curricula in engineering education: a report of the mathematics working group.

This document adapts the competence concept to the mathematical education of engineers and explains and illustrates it by giving examples. It also provides information for specifying the extent to which a competency should be acquired. It does not prescribe a particular level of progress for competence acquisition in engineering education. There are many different engineering branches and many different job profiles with various needs for mathematical competencies; consequently it is not appropriate to specify a fixed profile. The competence framework serves as an analytical framework for thinking about the current state in one’s own institution and also as a design framework for specifying the intended profile. A sketch of an example profile for a practice-oriented study course in mechanical engineering is given in the document. This document retains the list of content-related learning outcomes (slightly modified) that formed the ‘kernel’ of the previous curriculum document. These are still important because lecturers teaching application subjects want to be sure that students have at least an ‘initial familiarity’ with certain mathematical concepts and procedures which they need in their application modelling. In order to offer helpful orientation for designing teaching processes, teaching and learning environments and approaches are outlined which help students to obtain the competencies to an adequate degree. It is clear that such competencies cannot be obtained by simply listening to lectures, so adequate forms of active involvement of students need to be included. Moreover, in a competence-based approach the mathematical education must be integrated in the surrounding engineering study course to really achieve the ability to use mathematics in engineering contexts. The document presents several forms of how this integration can be realized. This integration is essential to the development of competencies and will require close co-operation between mathematics academics and their engineering counterparts. Finally, since assessment procedures determine to a great extent the behaviour of students, it is extremely important to address competency acquisition in assessment schemes. Ideas for doing this are also outlined in the document. The main purpose of this document is to provide orientation for those who set up concrete mathematics curricula for their specific engineering programme, and for lecturers who think about learning and assessment arrangements for achieving the intended level of competence acquisition. It also serves as a framework for the group’s future work and discussions

The extent and uptake of mathematics support in higher education: results from the 2018 survey

In response to the well-documented challenges associated with the 'mathematics problem' in UK higher education, many institutions have implemented a programme of mathematics support. Previous surveys within the UK, undertaken in 2001, 2004 and, most recently, 2012, have shown growth in the number of institutions offering such support and indicate that the dominant form of provision is through a drop-in model. Here we report on a 2018 survey of higher education providers in England and Wales undertaken to establish not only the extent of current provision but also understand the scale of its delivery. We find that overall the proportion of higher education institutions offering mathematics support remains broadly the same, but there is considerable variation in how this support is delivered within institutions. While the drop-in model remains most common, we see evidence that the methods used to provide mathematics support are expanding and that the range of levels and subjects studied of targeted student cohorts is widening. For the first time we are able to report on the volume of use of mathematics support by students across England and Wales, and although dependent upon the institutional context, we see clear evidence of the extensive use being made of it by learners

Transitions in undergraduate mathematics education

When studying mathematics during single or joint honours mathematics courses, undergraduate students experience a number of 'transitions points' or 'transitions periods'. These are times when many students experience difficulty applying or developing their mathematical knowledge, or adapting to changed learning methods and processes during their higher education studies. Written to meet the needs of university lecturers, teachers and tutors, this book forms a guide to understanding key issues, good practice and developments in learning and teaching in mathematics within higher education. Each Chapter is focused around an important transition point and written in a style that brings together published and evidence-based literature from across the higher education sector, analysing this in a scholarly manner to identify practical recommendations and 'tips' for both new and more experienced higher education practitioners alike