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.

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.

How do the learning outcomes of students compare in units with different levels of practical work? A comparative study about the relation between Problem-­Based Learning and assessment approaches

The literature supporting the notion that active, student-centered learning is superior to passive, teacher-centered instruction is encyclopedic (Bonwell & Eison, 1991; Bruning, Schraw, & Ronning, 1999; Haile, 1997a, 1997b, 1998; Johnson, Johnson, & Smith, 1999). Previous action research demonstrated that introducing a learning activity in class improved the learning outcomes of students (Mejias, 2010). People acquire knowledge and skills through practice and reflection, not by watching and listening to others telling them how to do something. In this context, this project aims to find more insights about the level of interactivity in the curriculum a class should have and its alignment with assessment so the intended learning outcomes (ILOs) are achieved. In this project, interactivity is implemented in the form of problem- based learning (PBL). I present the argument that a more continuous formative feedback when implemented with the correct amount of PBL stimulates student engagement bringing enormous benefits to student learning. Different levels of practical work (PBL) were implemented together with two different assessment approaches in two subjects. The outcomes were measured using qualitative and quantitative data to evaluate the levels of student engagement and satisfaction in the terms of ILOs.

Learning and assessment in Australia

Camp Kilda (CK) is regarded as being a quality early childhood center, and has many features you would typically expect to see in settings across Australia. The children are busily engaged in hands-on activity, playing indoors and outdoors, in the sandpit, under the shade of a big mango tree. The learning environment is planned to offer a variety of activities, including dramatic play, climbing equipment, balls, painting, drawing, clay, books, blocks, writing materials, scissors, manipulative materials. The children are free to access all the materials, and they play either individually or in small groups. The teachers encourage and stimulate the children’s learning, through interactions and thoughtful planning. Learning and assessment at CK is embedded within the cultural and social contexts of the children and their community. Children’s learning is made visible through a rich variety of strategies, including recorded observations, work samples, photographs, and other artifacts. Parents are actively encouraged to build on these “stories” of their children. Planning is based around the teachers’ analysis of the information they gather daily as they interact with the children and their families.

Class participation as a learning and assessment strategy in law : facilitating students’ engagement, skills development and deep learning

Assessment has widely been described as being ‘at the centre of the student experience’. It would be difficult to conceive of the modern teaching university without it. Assessment is accepted as one of the most important tools that an educator can deploy to influence both what and how students learn. Evidence suggests that how students allocate time and effort to tasks and to developing an understanding of the syllabus is affected by the method of assessment utilised and the weighting it is given. This is particularly significant in law schools where law students may be more preoccupied with achieving high grades in all courses than their counterparts from other disciplines. However, well-designed assessment can be seen as more than this. It can be a vehicle for encouraging students to learn and engage more broadly than with the minimums required to complete the assessment activity. In that sense assessment need not merely ‘drive’ learning, but can instead act as a catalyst for further learning beyond what a student had anticipated. In this article we reconsider the potential roles and benefits in legal education of a form of interactive classroom learning we term assessable class participation (‘ACP’), both as part of a pedagogy grounded in assessment and learning theory, and as a platform for developing broader autonomous approaches to learning amongst students. We also consider some of the barriers students can face in ACP and the ways in which teacher approaches to ACP can positively affect the socio-emotional climates in classrooms and thus reduce those barriers. We argue that the way in which a teacher facilitates ACP is critical to the ability to develop positive emotional and learning outcomes for law students, and for teachers themselves.

Case study: Technology - a fundamental aspect of teaching, learning and assessment

Case study on how Reading College is taking a holistic approach to developing their digital strategy, focusing on good practice in teaching and learning and extending learning beyond the classroom walls.

Teaching, learning and assessment in MSc. Databases units at University of Greenwich

In this paper we look at ways of delivering and assessing learning on database units offered on higher degree programmes (MSc) in the School of Computing and Mathematical Sciences at the University of Greenwich. Of critical importance is the teaching methods employed for verbal disposition, practical laboratory exercises and a careful evaluation of assessment methods and assessment tools in view of the fact that databases involve not only database design but also use of practical tools, such as database management systems (DBMSs) software, human designers, database administrators (DBA) and end users. Our goal is to clearly identify potential key success factors in delivering and assessing learning in both practical and theoretical aspects of database course units.

Cooperative learning and elaborative interrogation: effects on children's learning

This experimental study examined the effects of cooperative learning and a question-answering strategy called elaborative interrogation ("Why is this fact true?") on the learning of factual information about familiar animals. Retention gains were compared across four study conditions: elaborative-interrogation-plus-cooperative learning, cooperative-learning, elaborative-interrogation, and reading-control. Sixth-grade students (n=68) were randomly assigned to the four conditions. All participants were given initial training and practice in cooperative learning procedures via three 45-minute sessions. After studying 36 facts about six animals, students' retention gains were measured via immediate free recall, immediate matched association, 30-day, and GO-day matched association tests. A priori comparisons were made to analyze the data. For immediate free recall and immediate matched association, significant differences were found between students in the three experimental conditions versus those in the control condition. Elaborative-interrogation and elaborativeinterrogation- plus-cooperative-learning also promoted longterm retention (measured via 30-day matched association) of the material relative to repetitive reading with elaborative-interrogation promoting the most durable gains (measured via GO-day matched association). The relationship between the types of elaborative responses and probability of subsequent retention was also examined. Even when students were unable to provide adequate answers to the why questions, learning was facilitated more so than repetitive reading. In general, generation of adequate elaborations was associated with greater probability of recall than was provision of inadequate answers. The findings of the study demonstrate that cooperative learning and the use of elaborative interrogation, both individually and collaboratively, are effective classroom procedures for facilitating children's learning of new information.

Sustainable design education: teaching, learning and assessment in collaborative group design projects

Changes in the funding of tertiary education resulting in less one-to-one staff/student contact time mean that we cannot continue to teach as we have historically been taught. If design schools are unable to implement strategies that successfully overcome resource intensive studio teaching programs, then current architectural education may for many higher education providers be based on an unsustainable course structure. Rather than spreading their time thinly over a large number of individual projects, an increasing number of lecturers are setting group projects. This allows them to co-ordinate longer and more in-depth review sessions on a smaller number of assignments. However, while the group model may reflect the realities of the design process in practice, the approach is not without short comings as a teaching archetype for the assessment of individual skill competencies. Hence, what is clear is the need for a readily adoptable andragogy for the teaching and assessment of group design projects.
The following describes the background, methodology and early results of a Strategic Teaching and Learning Grant currently running at the School of Architecture and Building at Deakin University. The project is evaluating two design programs at Deakin and it is envisaged that the results of the
investigation may inform other project-based teaching disciplines experiencing a similar need for new knowledge and skill-based delivery due to increasing staff-student ratios.

Using open-ended tasks for teaching, learning and assessment

This article explores the use and development of open- ended tasks in classrooms. Open-ended tasks can be used in teaching situations, for learning about student learning, and for assessment.

Vignette 6 Pluridisciplinary learning and assessment : reflections on practice

While designing group assessment for student learning outcomes is always difficult, the task is made more challenging in an interdisciplinary context. How much focus should be placed on assessment of discipline-specific knowledge, how much on the interdisciplinary knowledge that emerges as students work together in a non-linear, co-rational design and how much on the group dynamic (generic capabilities) being developed? While additional learning outcomes can be expected from the activities in which students engage in an interdisciplinary context, there is also an expectation, particularly for disciplines such as accounting, engineering and architecture where courses are professionally accredited, that discipline-specific learning outcomes are not compromised. This vignette presents some of the complexities that surfaced during the implementation of a pilot course designed as an experiential real world of work challenge for student.