Meeting the growing demand for engineers and their educators: the potential for open and distance learning

As with all teaching, open and distance approaches are successful only if based on good pedagogical design addressing the purpose, structure and pace of the material, hence engaging students and encouraging active learning. For distance learning such pedagogical design is often expensive, and can only be justified by comparatively large student numbers. Much open and distance teaching offers meagre student support. To be successful, course developers must integrate student support into the learning materials, including such elements as a modest number of face-to-face sessions or electronic communication at a distance. This presentation discusses these issues in the context of SET distance teaching and presents examples of good practice from the UKOU, including: • an introductory course in ICT that adopts an issues-based approach, in order to de-mystify the subject and make it more attractive to students • resource-based approaches in engineering education • team projects at a distance • an emphasis on ‘active learning’ An argument is also to be made for the importance of openness if we really wish to promote engineering. In this context ‘openness’ means making programmes available to all students (even those without formal school-leaving qualifications) that will ultimately enable them to qualify as a professional engineer or an educator of engineers. The traditional approach to engineering education has been hierarchical and linear: a good school leaving certificate in mathematics / science followed by an often very theoretical university education plus an application-oriented final project. If we are serious about attracting new engineers, this will no longer do. An open and distance approach to engineering formation, based on outcomes rather than input educational levels, and with an emphasis on lifelong learning and professional development, can make a major contribution to chang

Capturing the time-varying drivers of an epidemic using stochastic dynamical systems

Epidemics are often modelled using non-linear dynamical systems observed through partial and noisy data. In this paper, we consider stochastic extensions in order to capture unknown influences (changing behaviors, public interventions, seasonal effects etc). These models assign diffusion processes to the time-varying parameters, and our inferential procedure is based on a suitably adjusted adaptive particle MCMC algorithm. The performance of the proposed computational methods is validated on simulated data and the adopted model is applied to the 2009 H1N1 pandemic in England. In addition to estimating the effective contact rate trajectories, the methodology is applied in real time to provide evidence in related public health decisions. Diffusion driven SEIR-type models with age structure are also introduced.Comment: 21 pages, 5 figure

Numerical Loop-Tree Duality: contour deformation and subtraction

We introduce a novel construction of a contour deformation within the framework of Loop-Tree Duality for the numerical computation of loop integrals featuring threshold singularities in momentum space. The functional form of our contour deformation automatically satisfies all constraints without the need for fine-tuning. We demonstrate that our construction is systematic and efficient by applying it to more than 100 examples of finite scalar integrals featuring up to six loops. We also showcase a first step towards handling non-integrable singularities by applying our work to one-loop infrared divergent scalar integrals and to the one-loop amplitude for the ordered production of two and three photons. This requires the combination of our contour deformation with local counterterms that regulate soft, collinear and ultraviolet divergences. This work is an important step towards computing higher-order corrections to relevant scattering cross-sections in a fully numerical fashion.Comment: 87 page

Non-Parametric Approximations for Anisotropy Estimation in Two-dimensional Differentiable Gaussian Random Fields

Spatially referenced data often have autocovariance functions with elliptical isolevel contours, a property known as geometric anisotropy. The anisotropy parameters include the tilt of the ellipse (orientation angle) with respect to a reference axis and the aspect ratio of the principal correlation lengths. Since these parameters are unknown a priori, sample estimates are needed to define suitable spatial models for the interpolation of incomplete data. The distribution of the anisotropy statistics is determined by a non-Gaussian sampling joint probability density. By means of analytical calculations, we derive an explicit expression for the joint probability density function of the anisotropy statistics for Gaussian, stationary and differentiable random fields. Based on this expression, we obtain an approximate joint density which we use to formulate a statistical test for isotropy. The approximate joint density is independent of the autocovariance function and provides conservative probability and confidence regions for the anisotropy parameters. We validate the theoretical analysis by means of simulations using synthetic data, and we illustrate the detection of anisotropy changes with a case study involving background radiation exposure data. The approximate joint density provides (i) a stand-alone approximate estimate of the anisotropy statistics distribution (ii) informed initial values for maximum likelihood estimation, and (iii) a useful prior for Bayesian anisotropy inference.Comment: 39 pages; 8 figure

ICT access in Latin America. evidence from household level

The diffusion of Information and Communication Technologies (ICTs) is becoming a central policy issue for developing countries, being identified by international policy-makers and scholars as an important driver of knowledge, innovation and economic growth. We analyze ICT access patterns in seven Latin American countries. In particular, we study the socio-economic determinants of the presence of computers and Internet connection at household level. Descriptive data show that ICT diffusion is concentrated in narrowly defined segments of income and educational groups in each country. Across countries, there is also evidence that the lower is the ICT diffusion, the higher is the inequality of that diffusion. Econometrically, we model the probability that a household has or has not adopted computer technologies and Internet access. The results confirm that variables such as income, education and rural/urban areas are key determinants of ICT diffusion. Additionally, there is evidence of geographical network effects and complementarities between Internet uses at different locations.ICT Access, Sample selection, Latin America

An Investigation of Students' Learning of Integral Calculus with Maple Software and Paper-Pencil Strategies in the Western Region of Ghana.

The goal of the research was to look into the impact of Maple software instruction on senior high school students' understanding of integral calculus. The study adopted a mixed-method design comprising qualitative and quantitative research designs. The researcher used both purposive and simple random sampling techniques to select one hundred (100) participants: fifty (50) participants for the control group and fifty (50) participants for the experimental group. The data collection instruments used in the study were an interview, pre-test and post-test. Data analysis was carried out using descriptive statistics and an Independent Samples t-test. The study found that 7(7%) participants found it difficult to execute correct substitution of the lower and upper limits of definite integral questions. Moreover, most of the participants, 35(35%), omitted the constant of integration after responding to the indefinite integral test item of the pre-test. It was noted that 18(18%) of the participants could not correctly integrate the polynomial or quadratic function administered to them. The independent samples t-test analysis of the post-test scores for the experimental and control groups revealed a statistically significant difference between the experimental group (M = 24.80; SD = 9.48) and the control group (M = 20.65; SD = 7.67). The estimated t-statistic was (t = 2.986; p = 0.005). This shows that Maple Software's experimental group outperformed the control group using the paper and pencil strategy. The analysis of the interview data indicated that Maple Software has contributed to the success of students’ achievement in the integral calculus by arousing and sustaining the student’s interest. The Maple Software also made it easier for students to follow the calculus instruction. The findings recommended that technology and mathematical software should be used in the teaching and learning of integration at schools

A multivariate framework to explore firms' internationalization patterns: the role of individual heterogeneity

In this paper, we explore the internationalization pattern of firms and its relationship with firms\u2019 heterogeneity. Besides the more traditional exports and Foreign Direct Investments (FDI), we consider various forms of non-equity internationalization. The use of a Multivariate Probit Model allows us to assess the associations among the choices driving the firms\u2019 internationalization strategy as a whole and, at the same time, to avoid a priori assumptions on the internationalization patterns. From the empirical evidence, two main results emerge. At first, we observe that Italian firms jointly adopt various internalization forms, others than exports and FDI, conditionally to characteristics of the firms. The hypothesis reported in literature of a complementary or subsidiary relationship between exports and FDI is then confirmed also for non-equity internationalization forms. Secondly, we find that the heterogeneity of firms, measured by a large range of variables, has an important role in defining the choice of firms on the patterns of internalization. Thus in this context, we endorse the emerging opinion asserting that various dimensions other than productivity are relevant