Components of learning and assessment in linear algebra

Linear algebra provides theory and technology that are the cornerstones of a range of cutting edge mathematical applications, from designing computer games to complex industrial problems, as well as more traditional applications in statistics and mathematical modelling. Once past introductions to matrices and vectors, the challenges of balancing theory, applications and computational work across mathematical and statistical topics and problems are considerable, particularly given the diversity of abilities and interests in typical cohorts. This paper considers two such cohorts in a second level linear algebra course in different years. The course objectives and materials were almost the same, but some changes were made in the assessment package. In addition to considering effects of these changes, the links with achievement in first year courses are analysed, together with achievement in a following computational mathematics course. Some results that may initially appear surprising provide insight into the components of student learning in linear algebra.

Critical success factors for positioning Australian business talent in the global knowledge economy : a current research agenda

"Globalisation‟ and the "global knowledge economy‟ have become some of the most common "buzzwords‟ in Australian business, economic, and social sectors in the past decade. Further, knowledge service exports are a growing sector for Australia that utilise complex technical and creative capacities, increasingly rely on virtual work innovations, require new socio-technical systems to establish and maintain effective client relationships in global contexts; and – along with other innovations in the electronic age – may require novel coping abilities on the part of both managers and their employees to achieve desired outcomes (Bandura, 2002). Accordingly, this paper overviews such trends. The paper also includes a research agenda which is a "work-in-progress‟ with a major global company, Shell (Australia); it highlights both the objectives and proposed methodology of the study; it also outlines anticipated key benefits arising from the research.