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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.
The Department of Mathematics, Physics and Electronics (School of Applied Sciences Anglia Polytechnic University, Cambridge) uses DIAGNOSYS to administer a computer-based diagnostic test, testing the mathematical knowledge of primarily foundation year students.
Brunel is well advanced in promoting good practice in the use of Computer Aided Assessment (CAA). The diagnostic tests are of CAA type, delivered on-screen with full animation at the testing level required (post-GCSE or post A-Level). 200 students are involved on programmes ranging from financial computing to mathematics.
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.
Diagnostic testing at Coventry University encompasses various disciplines. Co-ordinated by the Maths Support Centre, the test is used to assess the students' ability and target appropriate mathematics support as early as possible. This case study reviews the testing process and how it is linked to appropriate support material, advice and learning resources.
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.
Two weeks are spent doing revision prior to three diagnostic tests. These are designed to assess studentsâ?? strengths and weaknesses after they have spent some time working in a mathematical context. The tests are all paper-based multi-choice questions (MCQs). They are hand-marked, but owing to the small number of students there is little time delay between assessment and distribution of the results.
All students are assessed using a paper-based written test of multi-choice questions (MCQs). The test has 15 questions of which the students must pass with 12 correct. Two hours were allowed. All of the questions were on routine arithmetic and algebra with emphasis on manipulative drill and practice, e.g. decomposition into powers of primes, long division, fractions, BODMAS, surds, elementary function definition, and inequalities. The test is quite demanding and was introduced last year 2001. It is repeated for those who fail six times during the course of the year in a programme called â??Essential Mathematicsâ??. Passing it is a mandatory requirement to proceed into the second year.
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.
All students are tested via two computer-based tests each consisting of 10 multi-choice questions (MCQs). These tests are set from a large bank of questions using the â??TALâ?? (Teach And Learn) computer system developed at the University of Bristol. The topics covered include arithmetic, algebra, geometry, functions, calculus, and probability. A â??leave unansweredâ?? option is provided and negative marking used to discourage guessing. The tests are accessed through a Web interface, so in principle could be accessed from anywhere. It has been run with large-scale simultaneous access and, although a little slow, is relatively robust.
School of Mechanical and Systems Engineering DIAGNOSYS has been used by the Department of Engineering Mathematics, now the School of Mechanical and Systems Engineering, since 1993. By 1996 there were five departments involved in using the software. 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 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.
First year students in mathematics have been tested at the University of Sussex over the past 25 years using a paper-based diagnostic test. The test has hardly changed during that time. The test and remedial measures are co-ordinated by a senior member of staff, but administered by two postgraduates.
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.
Four questions on second order linear constant coefficient differential equations. The first two involve identifying the complementary function, the third involves applying initial conditions and the fourth involves finding a particular solution with either linear or sinusoidal forcing. DEWIS resources have been made available under a Creative Commons licence by Rhys Gwynllyw & Karen Henderson, University of the West of England, Bristol.
After reading this text, and/or viewing
the video tutorial on this topic, you should be able to
understand the process involved in differentiating from first principles and
differentiate some simple functions from first principles.
This leaflet is about diluting stock to produce a dose of required
strength to suit an individual patient.
Nilsson, Galina and Luchinskaya, Elena. (2012) Do We Deliver Effective Maths Support for Students? The European Conference on Educational Research 2012: Cadiz, 18-21 September 2012 http://urn.kb.se/resolve?urn=urn:nbn:se:hv:diva-4860. This study analyses the efficiency of maths support provision in two universities: Leeds Metropolitan University, UK and University West, Sweden and is part of an ongoing research collaboration between the two universities. The present work reflects the first stage of this research and is focused on evaluating the efficiency of the maths support in these two institutions from the perspectives of academic staff. The next stage of our research will include the analysis of this provision from the students' perspectives.
This study examined levels of mathematics and statistics anxiety, as well as general mental health amongst undergraduate students with dyslexia (n?=?28) and those without dyslexia (n?=?71). Students with dyslexia had higher levels of mathematics anxiety relative to those without dyslexia, while statistics anxiety and general mental health were comparable for both reading ability groups. In terms of coping strategies, undergraduates with dyslexia tended to use planning-based strategies and seek instrumental support more frequently than those without dyslexia. Higher mathematics anxiety was associated with having a dyslexia diagnosis, as well as greater levels of worrying, denial, seeking instrumental support and less use of the positive reinterpretation coping strategy. By contrast, statistics anxiety was not predicted by dyslexia diagnosis, but was instead predicted by overall worrying and the use of denial and emotion focused coping strategies. The results suggest that disability practitioners should be aware that university students with dyslexia are at risk of high mathematics anxiety. Additionally, effective anxiety reduction strategies such as positive reframing and thought challenging would form a useful addition to the support package delivered to many students with dyslexia.
Jordan J.-A., McGladdery G. and Dyer K. (2014), Dyslexia in Higher Education: Implications for Maths Anxiety,
Statistics Anxiety and Psychological Well-being, Dyslexia, 20 (3), pages 225–240, doi: 10.1002/dys.1478
A large print version of the Economics Facts & Formulae Leaflet. This zip file contains separate pdf files for each of the 5 sides of the leaflet reformated to A4 so that they are more accessible for students with visual impairments.
An electronic version of the Facts and Formulae leaflet for economics designed to be viewed onscreen. A higher resolution print version is available in mathcentre.
This is a high resolution electronic copy of the Economics Facts & Formulae Leaflet. It is designed to be printed on A4 as a double-sided folded leaflet. Print quality is printer dependant. An onscreen version is available in mathcentre.
This leaflet introduces eigenvalues and eigenvectors of a 2x2 matrix. It is contributed to the mathcentre Community Project by Tony Croft and reviewed by Leslie Fletcher.
Source files and metadata for Employability SIG resources containing 17 resources including slides, tests and guidance. These resources have been contributed under a Creative Commons licence to the mathcentre Community Project by members of the accessibility SIG. Please see individual resources for copyright information.
It is important to take account of the needs of employers when developing graduate mathematicians. Some of the projects reported in this booklet have worked with employers, employees or professional bodies to develop research findings, good practice advice and curriculum resources to improve graduate skills. Others offer examples of approaches involving employers in delivery of teaching and assessment for work-related learning, and various models that can be used to place students within organisations for work-based learning. This report was edited by Jeff Waldock and Peter Rowlett. This report is not made available under a Creative Commons licence but is freely available to UK universities for non-commerical educational use.
In this unit we find the equation of a straight line, when we are given some
information about the line. The information could be the value of its gradient,
together with the co-ordinates of a point on the line. Alternatively, the
information might be the co-ordinates of two different points on the line.
There are several different ways of expressing the final equation, and some
are more general than others.
