The next edition of the European Society for Engineering Education (SEFI) Mathematics Working Group's curriculum document will be based on the notion of mathematical competence. This approach aims particularly to capture higher-level learning goals that go beyond the traditional content-related and often small-scale description of learning…

In a time when mathematical under-preparedness is widespread and learning support is most urgently needed, this investigation seeks to evaluate the effectiveness of the mathematics learning centre (MLC) in the University of Limerick. Qualitative and quantitative data on the impact of the MLC on the students' mathematics education and students'…

Competency has been the buzzword of higher education for at least a decade. The reasonable approach of describing what students should be able to do after completing coursework, however, falls short of the fact that mathematics, like any subject matter, contains inherent difficulties for students. Students usually need assistance in overcoming…

Over the last decade the "mathematics problem" (students lacking basic mathematical skills on entry into higher education), and proposed solutions of this problem have been widely debated. One method to help combat this issue has been the introduction of mathematics support centres across higher education institutions. This article describes the…

Mathematics instructors must respond to diverse needs of individual students, including different abilities, interests, learning styles and cultural backgrounds. To do so, grade kindergarten-12 teachers have been using differentiated instruction, a process of proactively modifying instruction based on students' needs. It is supported by literature…

This article describes how technology has been used to motivate the learning of mathematics for students of Sports Technology at Loughborough University. Sports applications are introduced whenever appropriate and Matlab is taught to enable the students to solve realistic problems. The mathematical background of the students is varied and the…

When one uses Google (and many people do this!), the result of the query is a list of sites that have something to do with the item one is looking for. The specific sites are always more or less on the top, so it is not necessary to have a look on hundreds of sites to read something relevant and informative. How can Google manage this? How does…

A study was conducted at the Technical University Berlin involving students who twice failed the written examination in the first semester course Linear Algebra for Engineers in order to better understand the reasons behind their failure. The study considered student understanding in terms of Bloom's taxonomy and the ways in which students…

This article reports on the mathematical competency of students entering third-level education in the University of Limerick (UL). Data from diagnostic testing, gathered on 5,949 students between the years 1998 and 2008, are used to demonstrate the changes in competency levels of students entering UL. There has been a significant decline in the…

While many engineering educators have proposed changes to the way that mathematics is taught to engineers, the focus has often been on mathematical content knowledge. Work from the mathematics education community suggests that it may be beneficial to consider a broader notion of mathematics: mathematical thinking. Schoenfeld identifies five…

Many reasons have been documented about the need for more effective teaching of mathematics in universities. These include changes in the level of mathematical skills of new students; changes in society, particularly technological ones, which have led to a strong preference for visual presentation of information; and new students lacking the…

There are increasing concerns about the mathematics ability of students entering higher education. This situation appears to be as a result of the perceived lowering standards of A Levels, a reduction in entry requirements on some courses with a strong mathematical component and the wide-ranging educational backgrounds of many of the students.…

In the course of a project to create physics education materials for secondary schools in the USA we have, not surprisingly, had insights into how students develop certain mathematical understandings. Some of these translate directly into the mathematics classroom. With our materials, students get data from a variety of sources, data that arise in…

The number of students continuing with their mathematics education post GCSE level has declined in recent years and hence students entering Engineering degrees are reducing. The University of Birmingham recognized this problem and introduced the Suite of Technology programme (STP) which no longer requires students to have A-level mathematics.…

In this paper we consider geometrical construction problems and their role in mathematical education. Owing to the main features of construction problems (accuracy in making conclusions, strict structure, rigorous language and constructivistic nature), they can be fruitfully used in teaching mathematics and computer science. We shall try to shed…