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.

The influences of conceptions of learning and learner self-concept on high school students' approaches to learning

This study investigated the mediating effect of learner selfconcept between conceptions of learning and students' approaches to learning using structural equation modelling. Data were collected using a modified version of Biggs' Learning Process Questionnaire, together with the recently developed 'What is Learning Survey' and 'Learner Self-Concept Scale'. A sample of 355 high school students participated in the study. Results indicate that learner self-concept does mediate between conceptions of meaning and approaches to learning. Students who adopted a deep approach liked learning new things and indirectly viewed learning as experiential, involving social interaction and directly viewed learning as personal development. Implications for teachers are discussed, with consideration given to appropriate classroom practice.

Students’ perceptions of teaching and learning: the influence of students’ approaches to learning and teachers’ approaches to teaching

Nearly 500 secondary students in 24 classes were surveyed and four students in each class interviewed concerning their approaches to learning and perceptions of their classroom environment. While interviewed students with deep approaches to learning generally demonstrated a more sophisticated understanding of the learning opportunities offered to them than did students with surface approaches, teaching strategies also influenced students' perceptions. When teachers focused strongly on actively engaging students and creating a supportive environment, students with both deep and surface approaches focused on student-centred aspects of the class. In contrast, when traditional expository teaching methods were used exclusively, students with deep and surface approaches both focused on transmission and reproduction.

Developing capabilities for ongoing learning and change in intermediary programs

In dynamic environments, firms seek to build capabilities which will permit them to become innovation and change ready. Programs offered by intermediaries, while varying greatly in content and format, are designed to support those firms wishing to enhance their competitiveness. Firms which participate in intermediary programs have displayed their willingness to overcome deficiencies or barriers to competitiveness through acquiring knowledge which is external to the firm. This paper reports on interviews with 24 firms who were involved in a MAP or TAP program offered by QMI Solutions. The findings of the research suggest that knowledge intermediaries serve to disrupt organisational paths and in so doing establish mechanisms for ongoing learning and change. They do this first by disrupting the firm with a positive learning experience and also by establishing processes for developing new relationships and access to knowledge which are critical for learning and change. It is the experience of learning through knowledge exchange which can trigger the pursuit of new paths and it is the processes involving new relations and knowledge processing that provides the micro-foundations for ongoing learning and change. This suggests that the role of intermediaries goes well beyond merely knowledge transfer to include longer term effects on the capability of organisations to innovate, which is critical to economic competitiveness and the survival rate of firms.

A collaborative model for learning and assessment of legal placements

This paper will report on the evaluation of a new undergraduate legal workplace unit, LWB421 Learning in Professional Practice. LWB421 was developed in response to the QUT’s strategic planning and a growing view that work experience is essential to developing the skills that law graduates need in order to be effective legal practitioners (Stuckey, 2007). Work integrated learning provides a context for students to develop their skills, to see the link between theory and practice and support students in making the transition from university to practice (Shirley, 2006). The literature in Australian legal education has given little consideration to the design of legal internship subjects (as distinct from legal clinic programs). Accordingly the design of placement subjects needs to be carefully considered to ensure alignment of learning objectives, learning tasks and assessment. Legal placements offer students the opportunity to develop their professional skills in practice, reflect on their own learning and job performance and take responsibility for their career development and planning. This paper will examine the literature relating to the design of placement subjects, particularly in a legal context. It will propose a collaborative model to facilitate learning and assessment of legal work placement subjects. The basis of the model is a negotiated learning contract between the student, workplace supervisor and academic supervisor. Finally the paper will evaluate the model in the context of LWB421. The evaluation will be based on data from surveys of students and supervisors and focus group sessions.