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Diagnostic Testing for MathematicsA 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.
Diagnostic Testing within Institutions - Anglia Polytechnic UniversityThe 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.
Diagnostic Testing within Institutions - Brunel UniversityBrunel 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.
Diagnostic Testing within Institutions - Cardiff UniversityAll 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 within Institutions - Coventry UniversityDiagnostic 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.
Diagnostic Testing within Institutions - Keele UniversityAll 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.
Diagnostic Testing within Institutions - Manchester Metropolitan UniversityTwo 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.
Diagnostic Testing within Institutions - Queen Mary, University of LondonAll 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.
Diagnostic Testing within Institutions - UMISTAll 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.
Diagnostic Testing within Institutions - University of BristolAll 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.
Diagnostic Testing within Institutions - University of Newcastle upon TyneSchool 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.
Diagnostic Testing within Institutions - University of SussexFirst 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.
Diagnostic Testing within Institutions - University of YorkSince 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.
Differential Equations Test 01 (DEWIS)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.
Differentiating sin(x) and cos(x) from first principlesAfter reading this text, and/or viewing the video tutorial on this topic,
you should be able to
differentiate the functions sin(x)and cos(x) from first principles.
Differentiating sin(x) and cos(x) from first principlesIn this unit we show how to differentiate the sine and cosine functions
from first principles. (Mathtutor Video Tutorial).
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Differentiating sin(x) and cos(x) from first principlesIn this unit we show how to differentiate the sine and cosine functions
from first principles. (Mathtutor Video Tutorial).
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Differentiation by taking logsIn this unit we look at how we can use logarithms to simplify certain functions before we differentiate them. (Mathtutor Video Tutorial)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Differentiation by taking logsIn this unit we look at how we can use logarithms to simplify certain functions before we differentiate them. (Mathtutor Video Tutorial)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Differentiation for Economics and Business Studies Functions of Multi-Variable FunctionsOverview of the rules of partial differentiation and methods of optimization of functions in Economics and Business Studies. This leaflet has been contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Anthony Cronin (University College Dublin).
Differentiation for Economics and Business Studies Functions of Multi-Variable Functions (SOURCE)Latex source, image files and metadata for the Fact & Formulae leaflet "Differentiation for Economics and Business Studies Functions of Multi-Variable Functions" contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Anthony Cronin (University College Dublin).
Differentiation for Economics and Business Studies Functions of One VariableOverview of differentiation and its applications in Economics. This leaflet has been contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Anthony Cronin (University College Dublin).
Differentiation for Economics and Business Studies Functions of One Variable (SOURCE)Latex source, image files and metadata for the Fact & Formulae leaflet "Differentiation for Economics and Business Studies Functions of One Variable" contributed to the mathcentre Community Project by Morgiane Richard (University of Aberdeen) and reviewed by Anthony Cronin (University College Dublin).
Differentiation from first principlesIn this unit we start to explain how differentiation works. The process is known as differentiation from first principles.
(Mathtutor Video Tutorials)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Differentiation from first principlesIn this unit we start to explain how differentiation works. The process is known as differentiation from first principles. (Mathtutor Video Tutorials) The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Differentiation from first principles (powers of x)In this unit we explain how to differentiate powers of x from first principles. (Mathtutor Video Tutorials)
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
