Guides & Case Studies resources

The Transition Module is designed to audit the mathematical skills of incoming students and thereby design and implement appropriate teaching, learning and assessment strategies to ease the transition to university.

A review of MATHWISE Pre-Calculus and CALMAT.

The Mathematics Department at Keele University has pioneered the use of diagnostic testing linked to Computer-Based Learning (CBL) self study modules for students entering Principal Mathematics. In particular, the department has invested in the use of Mathwise modules to provide support materials. Recent advances in software have produced a new generation of courseware but there is considerable inertia in changing to such new material without some evidence that students will benefit. This case study considers this problem and considers how diagnostic testing can be used to decide when to update the courseware being used.

Students arriving in many of the UMIST departments are required to take a brief maths test on arrival. Mathematics students who underachieve on this test are assigned some questions relevant to sections where they did poorly and also referred to sections from texts and Internet notes. The studentâ??s attempt at the assigned questions acts as a basis for a feedback session. Certain students in other departments (receiving mathematics as a service course) are asked to complete a computerised assignment on areas where they underachieved. Again, they are provided with references to texts and Internet notes.

A comprehensive collection of case studies, intended to assist you with the challenge of enhancing the basic mathematical skills of engineering or science students. These case studies focus particularly on diagnostic testing.

All students are assessed using a paper-based, but optically marked, written test of 12 multi-choice questions (MCQs). The test covers algebraic simplification, approximation, logs, trigonometry and calculus. It is based on a test developed at Coventry University. It is used to assess students' strengths upon entry.

All students are assessed via 20 computer-based multi-choice questions (MCQs). These questions are selected at random from a large question bank, developed jointly by Nottingham and Keele Universities. The main objective is to provide a profile of each studentâ??s mathematical abilities. Each question tests a number of different skills simultaneously and hence contributes to an assessment of the different aspects of this profile. The profile becomes a diagnostic report, which then directs each student to a series of specific modules in â??Mathwiseâ?? that will reinforce their knowledge and correct any problems.

All students are assessed using a paper-based written test on their first day in the department. The students are allowed to use any non-graphical calculator to help answer 48 questions of the type and standard that they should be familiar with from A-Level. The questions range across simple arithmetic and algebra through logs to differentiation and integration, finishing with some questions on vectors. Final solutions are filled in on an answer grid. The temporary streaming of the students is based on the results.

The mathematics department at the University of Strathclyde introduced in 2001 a paper-based diagnostic test to test the elementary mathematics skills of their first year mathematics students.

Since 1977 a paper-based diagnostic test has been presented to first year mathematics students at the University of York. Based on an interview with the administering lecturer and a student questionnaire this case study examines the procedure, results and student responses to the diagnostic testing process.

The Summer School has operated on the same general principles since 1991. It helps prepare students for entry into programmes for which they have a conditional offer. It features tailored instruction, flexible attendance and delivery and continuous supportive feedback.

A second edition of the popular guide for those interested in the establishment and development of Mathematics Support Centres in universities and other institutes of higher education

An academic perspective

Examines the use of diagnostic testing amongst engineering, mathematics and physical science departments.

The Open Learning Resource Centre (OLRC) at the School of Computing and Mathematics, University of Huddersfield provides a quiet environment with seated study places for up to sixty students. The Centre originally operated from 8.30am to 4.30pm every day but that has now been extended to cater for the needs of part-time students. Every day a tutor provides a surgery on a one-to-one basis to answer questions posed in mathematics, statistics or operational research (MSOR). It was also commended by the QAA Visiting Panel during a recent Teaching Quality Assessment.

EXCEL has been used to provide simulation facilities in support of teaching control to engineers. This dictates a sampled data approach which fits in naturally with digital implementation of control. The technique also allows students to explore the affects of non-linearities in systems such as control signal saturation. It provides a â??hands-onâ?? dimension which students find valuable. The approach is capable of use with other dynamic systems and is not restricted to teaching control.

University College London has established a wide selection of teaching resources to support a dramatic increase in the number of entrants to the Mathematics Department. This includes a diagnostic test for all entrants, a workbook for students to complete before the first semester and an integrated system of tutorials, lectures and a problem class. An intense Bridging Course also provides students with a valuable and comprehensive perspective of university mathematics.

Mathematical Advice and Co-ordination Service (MACS) was established in 1995 within the Faculty of Mathematics to support students within their studies at the University and to help prepare them to go into the world. Funding was made available for an initial period of 3 years and was then continued on a year-to-year basis. The emphasis has changed over the years and most of the work is now linked to studentsâ?? current problems but also includes help for those facing employersâ?? tests at interview. The University accepted that the concept of student support offered in Mathematics needed to be extended into other areas and, through The Higher Education Funding Council for England (HEFCE), established the Student Advice Service (SAS). The SAS is now a permanent feature of the University serving any member of the student body (and indeed staff) who might benefit from what it offers. The remainder of this case study considers only the mathematical part of the SAS, though many of the comments apply to the other areas of the SAS (Academic English, Study Skills and ICT).

The education Drop-in Centre at the University of Glamorgan was established during the academic year 1996/97. Its aim has always been to provide generic study support for students with writing and study skills as well as mathematics and statistics skills. Since its creation the Centre has been through a variety of changes in terms of staffing and layout. It has grown steadily each year and now comprises of two sites and seventeen staff, three full-time administrators and fourteen part-time tutors. The Centre is seen to play a key part in retaining students and has become part of the fabric of the University.

The Centre was established in 1996 within the Department of Mathematical Sciences in order to underpin the Department's service teaching commitment to engineering undergraduates. In the first instance funding had been made available through an internal university learning and teaching initiative for a period of two years. Because of its early successes the Centre became a permanent feature in 1998 and now serves any student in the university who might benefit from additional resources, over and above those normally provided, to help them in their learning of basic mathematical techniques.

The Study Support Centre (SSC), within the Robert Gordon University (RGU), aims to provide students with assistance in Mathematics, Writing & Communication skills, Information & Communication Technology applications, Statistics, Study Skills and support for dyslexic students. The SSC offers students independent assistance through individual and small group tuition outwith their normal programme of study, as well as Computer Assisted Learning (CAL) packages, specialist software for special needs students and text based self-learning materials. The SSC has created a basic mathematics diagnostic assessment, which we give to first year students in many Schools. Currently, in collaboration with the School of Engineering, an engineering principles diagnostic assessment is being designed and implemented.

Wider access students i.e. those people who have narrowly missed the entrance requirements, are given a chance to "topup" their mathematical knowledge before entering Napier University. They can study at their own pace over the summer vacation. There is regular communication with a university tutor and extra study sessions are held during August at the University.

Computer based assessment has been used at UWE for a number of years on certain modules run by the School of Mathematical Sciences. In this case study we discuss the operation of the assessment for a first year engineering mathematics module in which students are permitted multiple attempts and are allowed, within an specified period of time, to choose when they take the assessment. Feedback from students has been highly positive about the assessment regime and our observation is that operating the tests in this way does encourage students to work steadily throughout the year.

For first and second year engineering students at Napier University, the TI-83 graphics calculator plays a major role in an integrated technological approach to mathematics. This case study reviews the process of integration and its current position in the teaching of students.