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An inverse function is a second function which undoes the work of the first
one. In this unit we describe two methods for finding inverse functions, and we also explain that the domain of a function may need to be restricted before an inverse function can exist. (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.

The 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

This 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.

This 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)

Recruitment 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.

This 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

"Just the Maths" authored by the late Tony Hobson, former Senior
Lecturer in Mathematics of the School of Mathematical and
Information Sciences at Coventry University, is a collection of separate mathematics units, in chronological
topic-order, intended for foundation level and first year
degree level in higher education where mathematics is a service discipline e.g. engineering.

FOR COPYRIGHT REASONS YOU MAY BE UNABLE TO ACCESS THIS LINK DIRECTLY. This paper, by Helen MacGillivray, Queensland University of Technology, describes learning support in mathematics and statistics in Australian universities. Analysis of data for students studying mathematics and statistics contributes to growing evidence that such learning support is fulfilling needs across the range of student capabilities, including students choosing mathematics degree programs.
It is published in the International Journal of Mathematical Education in Science and Technology:
Volume 40, Issue 4, First published 2009, Pages 455 – 472

FOR COPYRIGHT REASONS YOU MAY BE UNABLE TO ACCESS THIS LINK DIRECTLY. This paper, by Helen MacGillivray, Queensland University of Technology, describes learning support in mathematics and statistics in Australian universities. Analysis of data for students studying mathematics and statistics contributes to growing evidence that such learning support is fulfilling needs across the range of student capabilities, including students choosing mathematics degree programs.
It is published in the International Journal of Mathematical Education in Science and Technology:
Volume 40, Issue 4, First published 2009, Pages 455-472, http://www.tandfonline.com/doi/abs/10.1080/.VC0o4b4r8rc

This Guide is based on findings from a project funded by The Australian Learning and Teaching Council (ALTC). After discussion on the history, nature and roles of learning support in mathematics and statistics in Australia, it synthesizes the findings of the project to provide information for the university sector on the need for, and the provision of, such support. The project was funded by the ALTC's Leadership for Excellence in Learning and Teaching Program. The title of the project was Quantitative diversity: disciplinary and cross-disciplinary mathematics and statistics support in Australian universities, and its aim was to develop national capacity and collaboration in cross-disciplinary mathematics and statistics learning support to enhance student learning and confidence.

In this unit, we explain what it means for a function to tend to infinity,
to minus infinity, or to a real limit, as x tends to infinity or to minus
infinity. We also explain what it means for a function to tend to a real limit
as x tends to a given real number. In each case, we give an example of a
function that does not tend to a limit at all.

In this unit, we explain what it means for a function to tend to infinity,
to minus infinity, or to a real limit, as x tends to infinity or to minus
infinity. We also explain what it means for a function to tend to a real limit
as x tends to a given real number. In each case, we give an example of a
function that does not tend to a limit at all. (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.

In this unit, we explain what it means for a function to tend to infinity,
to minus infinity, or to a real limit, as x tends to infinity or to minus
infinity. We also explain what it means for a function to tend to a real limit
as x tends to a given real number. In each case, we give an example of a
function that does not tend to a limit at all. (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.

In 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.

In 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.

In 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.

This 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.

Some of the most important functions are linear. This unit describes how to
recognize a linear function, and how to find the slope and the y-intercept
of its graph.

Some of the most important functions are linear. This unit describes how to
recognize a linear function, and how to find the slope and the y-intercept
of its graph. (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.

Some of the most important functions are linear. This unit describes how to
recognize a linear function, and how to find the slope and the y-intercept
of its graph. (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.

The ability to study regions defined by linear inequalities is helpful when studying linear programming. This leaflet reminds you how to sketch these regions.

Questions on linear programming techniques, with interactive graphics. Numbas resources have been made available under a Creative Commons licence by Bill Foster and Christian Perfect, School of Mathematics & Statistics at Newcastle University.

This leaflet explains how to integrate the sum of two functions, and constant multiples of functions, using 'linearity rules'. (Engineering Maths First Aid Kit 8.8)

We use logarithms to write expressions involving powers in a different form. If you can work confidently with powers, you should have no problems handling logarithms

Adrian Smith's inquiry into post-14 mathematics education. (2004) There is a accompanying video 'The need for maths - Adrian Smith'