Mathematics background of engineering students in Northern Ireland and Finland

The Organisation for Economic Co-operation and Development investigated numeracy proficiency among adults of working age in 23 countries across the world. Finland had the highest mean numeracy proficiency for people in the 16 – 24 age group while Northern Ireland’s score was below the mean for all the countries. An international collaboration has been undertaken to investigate the prevalence of mathematics within the secondary education systems in Northern Ireland and Finland, to highlight particular issues associated with transition into university and consider whether aspects of the Finnish experience are applicable elsewhere. In both Northern Ireland and Finland, at age 16, about half of school students continue into upper secondary level following their compulsory education. The upper secondary curriculum in Northern Ireland involves a focus on three subjects while Finnish students study a very wide range of subjects with about two-thirds of the courses being compulsory. The number of compulsory courses in maths is proportionally large; this means that all upper secondary pupils in Finland (about 55% of the population) follow a curriculum which has a formal maths content of 8%, at the very minimum. In contrast, recent data have indicated that only about 13% of Northern Ireland school leavers studied mathematics in upper secondary school. The compulsory courses of the advanced maths syllabus in Finland are largely composed of pure maths with a small amount of statistics but no mechanics. They lack some topics (for example, in advanced calculus and numerical methods for integration) which are core in Northern Ireland. This is not surprising given the much broader curriculum within upper secondary education in Finland. In both countries, there is a wide variation in the mathematical skills of school leavers. However, given the prevalence of maths within upper secondary education in Finland, it is to be expected that young adults in that country demonstrate high numeracy proficiency.

Developing mathematics support for first-year engineering students with non-traditional mathematics backgrounds

A maths support system for first-year engineering students with non-traditional entry qualifications has involved students working through practice questions structured to correspond with the maths module which runs in parallel. The setting was informal and there was significant one-to-one assistance. The non-traditional students (who are known to be less well prepared mathematically) were explicitly contacted in the first week of their university studies regarding the maths support and they generally seemed keen to participate. However, attendance at support classes was relatively low, on average, but varied greatly between students. Students appreciated the personal help and having time to ask questions. It seemed that having a small group of friends within the class promoted attendance – perhaps the mutual support or comfort that they all had similar mathematical difficulties was a factor. The classes helped develop confidence. Attendance was hindered by the class being timetabled too soon after the relevant lecture and students were reluctant to come with no work done beforehand. Although students at risk due to their mathematical unpreparedness can easily be identified at an early stage of their university career, encouraging them to partake of the maths support is an ongoing, major problem.

Usage of a computer conferencing system by on- and off-campus engineering students

This paper reports on the introduction of a computer conferencing  component into a first year study unit in Technology Management at Deakin University, Australia. It was found that significant variations in computer  usage were correlated to student study mode, including source of computer access, source of Internet access, hours per week computer usage, regular use of email, regular use of the Internet, and number of times the conference was accessed. Other moderate differences were also noted. Following  exposure to the computer conference, on-campus students were more likely to agree computers could assist their learning, and off-campus students  were less likely to agree that learning from computers would be better than classes/lectures.

`Future is old': immersive learning with generation Y engineering students

This paper explores the application of four elements deemed to be essential to immersive learning; immersion, engagement, risk/creativity and agency. The authors discuss the implementation of these four elements within two very different classroom environments, one secondary and one tertiary, to illustrate the importance of students' active participation in the planning, design and development processes of their own learning environments. By transforming both the conceptual and operational environments of both cohorts the authors illustrate the benefits of the development of immersive learning environments. Importantly, such environments must reflect the choices and preferences of the learner as they negotiate their way through the learning journey that best suits their needs. Rather than the imposition of a learning regime considered to be irrelevant, but more importantly 'boring' to the student cohort, the authors argue that immersive learning environments are successful because they are reliant on the students' enthusiastic creation of their own knowledge in collaboration with adults and student colleagues. This study can be applied in all spectrums of education (primary, secondary and tertiary), and in this case, specifically engineering education.

Providing a practical education for off-campus engineering students

This paper considers the provision of laboratory-practicals for distance-education students in engineering degree programmes. The authors discuss the role of laboratory-practical work in the curriculum and reflect on five methods that can be used to ensure off-campus students have an equivalent practical experience as the traditional on-campus cohort. On-campus sessions, videotapes (or ‘on-line’ movie-clips), computer simulations, home experiment kits and laboratories controlled over the internet are covered. Some examples are given to show how these can be incorporated into the curriculum. A case study then discusses the problem of (and an exemplar solution to) delivering the laboratory-practical components of two microcontroller units offered at Deakin University – a leading provider of distance-education in Australia. In doing so, it leads the reader through the solution process and cites some constraints that drive the choice of model - for example, cost considerations and the need for relevant didactic materials.

Modern enhancements in teaching design theories to mechanical engineering students

This paper describes the application of computer aided design (CAD) in teaching advanced design methodologies to fourth-year undergraduate students majoring in mechanical engineering. This involves modern enhancements in teaching strategies for subjects such as design-for-X (DFx) and failure mode effect analysis (FMEA) concepts, which are traditionally categorised as advanced design methodologies. The main subsets of DFx including design-for-assembly (DFA), design-for-disassembly (DFD), design-for-manufacturing (DFM), design-for-environment (DFE) and design-for-recyclability (DFR) were covered by studying various engineering and consumer products. The unit was designed as a combination of practical hands-on workshop-based classes along with a software-based evaluation of different products. In addition to CAD, finite element modelling techniques were utilised to enhance the students’ understanding of design faults and failures. The inquiry into teaching practice and design of this fourth-year unit was carried out during past two years and it revealed some interesting outcomes from our teaching practice in terms of students’ learning experiences. Finally, the paper discusses some critical factors in the context of teaching advanced design methodologies to the undergraduates in mechanical engineering and even manufacturing engineering.