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Imaginary numbers and quadratic equationsThis video shows how the imaginary number i can be used in the solution of some quadratic equations. Sigma resource Unit 2.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by mathcentre.
Increasing the impact of mathematics support on aiding student transition in higher education.,This article presents a novel approach to maths support designed and adopted by the University of Lincoln, School of Engineering, to bridge this transition gap for students, offer continued support through Assessment for Learning and Individual Learning Plans, and ultimately increase student achievement, engagement and retention. The article then extends this proven approach and discusses recently implemented enhancements through the use of online diagnostic testing and a ‘student expert’ system to harness mathematical knowledge held by those gifted and talented students (often overlooked by higher education institutions) and to promote peer-to-peer mentoring. The article shows that with the proven system in place, there is a marked increase in student retention compared with national benchmark data, and an increase in student engagement and achievement measured through student feedback and assessments.
M. Gallimore and J. Stewart, (2014) Increasing the impact of mathematics support on aiding student
transition in higher education., Teaching Mathematics Applications, 33 (2), 98-109, doi:10.1093/teamat/hru008
Introduction to vectorsA vector is a quantity that has both a magnitude (or size) and a direction.
Both of these properties must be given in order to specify a vector
completely. In this unit we describe how to write down vectors, how to add
and subtract them, and how to use them in geometry.
Introduction to vectorsA vector is a quantity that has both a magnitude (or size) and a direction.
Both of these properties must be given in order to specify a vector
completely. In this unit we describe how to write down vectors, how to add
and subtract them, and how to use them in geometry. (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.
Introduction to vectorsA vector is a quantity that has both a magnitude (or size) and a direction.
Both of these properties must be given in order to specify a vector
completely. In this unit we describe how to write down vectors, how to add
and subtract them, and how to use them in geometry. (Mathtutor Video Tutorial)
The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Introduction to vectors - 1A vector is a quantity that has both a magnitude (or size) and a direction. Both of these properties must be given in order to specify a vector completely. In this unit we describe how to write down vectors, how to add and subtract them, and how to use them in geometry.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Introduction to vectors - 2A vector is a quantity that has both a magnitude (or size) and a direction. Both of these properties must be given in order to specify a vector completely. In this unit we describe how to write down vectors, how to add and subtract them, and how to use them in geometry.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Introduction to vectors - 3A vector is a quantity that has both a magnitude (or size) and a direction. Both of these properties must be given in order to specify a vector completely. In this unit we describe how to write down vectors, how to add and subtract them, and how to use them in geometry.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Introduction to vectors - 4A vector is a quantity that has both a magnitude (or size) and a direction. Both of these properties must be given in order to specify a vector completely. In this unit we describe how to write down vectors, how to add and subtract them, and how to use them in geometry.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Investigating the Engagement of Mature Students with Mathematics Learning SupportThe Mathematics Learning Support Centre (MLSC) in the Dublin Institute of Technology (DIT) provides free mathematical support to all DIT students. This support is primarily delivered through a drop-in service, where students can receive one-to-one tuition, without an appointment, in any area of mathematics. In the first semester of the 2013/14 academic year a significant proportion (approximately 42%) of students that availed of this drop-in service were mature students enrolled in Engineering programmes. This is of particular interest as mature students constitute a relatively small proportion of the total student body, motivating a deeper study of the reasons for the high levels of engagement in this cohort. To this end two focus groups were conducted, involving both those who did and did not attend the MLSC. Particular interest was paid to the motivations for attendance/reasons for non-attendance. The motivations of mature students were found to be multifaceted while the reasons for non-engagement given were mostly in line with the literature. In addition some quantitative analysis was carried to determine what effect the MLSC had on studentâ??s academic performance.
Cormac Breen, Michael Carr and Mark Prendergast (2014) Investigating the Engagement of Mature Students
with Mathematics Learning Support. Proceedings of the 17th Mathematics Working Group Seminar, Dublin
2014, http://sefi.htwaalen.
de/Seminars/Dublin2014/17th%20SEFIMWG%20Seminar/Tuesday%20Session%201/MWG2014_Breen.pdf
Investigation of completion rates of engineering studentsThis paper by ROSS CUTHBERT and HELEN MACGILLIVRAY discusses analysis of data on initiatives to improve retention rates on engineering degree programmes at Queensland University of Technology in Australia. The paper was presented at Delta 07 - the Southern Hemisphere Symposium on Undergraduate Mathematics Teaching. The Mathematics Access Centre at QUT offers optional extra support and examination workshops. The paper reports that students accessing these are nearly twice as likely to complete the course as the whole cohort, and half as likely to discontinue engineering.
Investigation of completion rates of engineering studentsThis paper by ROSS CUTHBERT and HELEN MACGILLIVRAY discusses analysis of data on initiatives to improve retention rates on engineering degree programmes at Queensland University of Technology in Australia. The paper was presented at Delta 07 - the Southern Hemisphere Symposium on Undergraduate Mathematics Teaching. The Mathematics Access Centre at QUT offers optional extra support and examination workshops. The paper reports that students accessing these are nearly twice as likely to complete the course as the whole cohort, and half as likely to discontinue engineering. (2007)
Investigation of International Mathematics CulturesRecruitment to post-graduate mathematics programmes and to lecturer positions in mathematics departments in UK universities has become dominated by international students and staff. Although mathematics is generally regarded as ‘the universal language’, the reality is that different countries have very different cultures when it comes to the teaching and learning of mathematics. There are significant variations in the pre-university mathematical experience, in terms of the curriculum content, learning styles, levels of abstraction, and assessment methods. Even within the UK, a considerable number of pre-higher education mathematics qualifications are available and, it is not always clear what mathematics can be expected when students commence their degree programmes. With increasing numbers of international students and academic staff in UK HE, the scene is becoming more complicated. Students enter degree courses with a wide range of backgrounds and bring with them very different experiences. At the same time, academic staff, having experienced different education systems, may have some unrealistic expectations from their students.
With an HEA Teaching Development Grant (Individual Scheme 2012 -2013), this research by Aiping Xu, Coventry University has investigated the mathematical cultures of a range of the main international suppliers (of students and staff) to UK HE mathematics departments. Using semi-structured interviews and online questionnaires, personal experiences of academic staff who have studied or taught more than two educational systems have been drawn upon. Some examinations have also been studied in detail.
Is Mathematics Support worthwhile ? An overview of the 3rd Irish Workshop on Mathematics Learning and Support CentresThis paper, by Mac an Bhaird & O'Shea, is an overview of the 3rd Irish Irish Workshop on Mathematics Support and Learning Centres. Being able to accurately evaluate support centre services is a very important issue. We hosted this conference inviting speakers from support centres in Ireland and leading experts in the UK to discuss the procedures they use to evaluate their services. This paper is an overview of the talks given and contains many relevant links for similar material in the area
Limits of sequencesIn this unit, we recall what is meant by a simple sequence, and introduce
infinite sequences. We explain what it means for two sequences to be the same,
and what is meant by the n-th term of a sequence. We also investigate the
behaviour of infinite sequences, and see that they might tend to plus or minus
infinity, or to a real limit, or behave in some other way.
Limits of sequencesIn this unit, we recall what is meant by a simple sequence, and introduce
infinite sequences. We explain what it means for two sequences to be the same, and what is meant by the n-th term of a sequence. We also investigate the behaviour of infinite sequences, and see that they might tend to plus or minus infinity, or to a real limit, or behave in some other way. (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.
Limits of sequencesIn this unit, we recall what is meant by a simple sequence, and introduce
infinite sequences. We explain what it means for two sequences to be the same, and what is meant by the n-th term of a sequence. We also investigate the behaviour of infinite sequences, and see that they might tend to plus or minus infinity, or to a real limit, or behave in some other way. (Mathtutor Video Tutorial)
The video is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Linear equations in one variableThis is a complete workbook introducing the solution of a single linear equation in one variable. It contains plenty of examples and exercises.
It can be used as a free-standing resource or in conjunction with the mathtutor DVD.
Linear Equations in One Variable Part 1IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Linear Equations in One Variable Part 2IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Linear Equations in One Variable Part 3IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Linear Equations in One Variable Part 4IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Linear Equations in One Variable Part 5IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Linear Equations in One Variable Part 6IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
Linear Equations in One Variable Part 7IPOD VIDEO: In this unit we give examples of simple linear equations and show you how these can be solved. In any equation there is an unknown quantity, x say, that we are trying to find. In a linear equation this unknown quantity will appear only as a multiple of x, and not as a function of x such as x squared, x cubed, sin x and so on. Linear equations occur so frequently in the solution of other problems that a thorough understanding of them is essential.
This resource is released under a Creative Commons license Attribution-Non-Commercial-No Derivative Works and the copyright is held by Skillbank Solutions Ltd.
LogarithmsLogarithms appear in all sorts of calculations in engineering and science, business and economics. Before the days of calculators they were used to assist in the process of multiplication by replacing the operation of multiplication by addition. Similarly, they enabled the operation of division to be replaced by subtraction. They remain important in other ways, one of which is that they provide the underlying theory of the logarithm function. This has applications in many fields, for example, the decibel scale in acoustics.
(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.
