Individual differences in learning from worked examples by senior secondary mathematics students

The primary purpose of this research was to examine individual differences in learning from worked examples. By integrating cognitive style theory and cognitive load theory, it was hypothesised that an interaction existed between individual cognitive style and the structure and presentation of worked examples in their effect upon subsequent student problem solving. In particular, it was hypothesised that Analytic-Verbalisers, Analytic-Imagers, and Wholist-lmagers would perform better on a posttest after learning from structured-pictorial worked examples than after learning from unstructured worked examples. For Analytic-Verbalisers it was reasoned that the cognitive effort required to impose structure on unstructured worked examples would hinder learning. Alternatively, it was expected that Wholist-Verbalisers would display superior performances after learning from unstructured worked examples than after learning from structured-pictorial worked examples. The images of the structured-pictorial format, incongruent with the Wholist-Verbaliser style, would be expected to split attention between the text and the diagrams. The information contained in the images would also be a source of redundancy and not easily ignored in the integrated structured-pictorial format. Despite a number of authors having emphasised the need to include individual differences as a fundamental component of problem solving within domainspecific subjects such as mathematics, few studies have attempted to investigate a relationship between mathematical or science instructional method, cognitive style, and problem solving. Cognitive style theory proposes that the structure and presentation of learning material is likely to affect each of the four cognitive styles differently. No study could be found which has used Riding's (1997) model of cognitive style as a framework for examining the interaction between the structural presentation of worked examples and an individual's cognitive style. 269 Year 12 Mathematics B students from five urban and rural secondary schools in Queensland, Australia participated in the main study. A factorial (three treatments by four cognitive styles) between-subjects multivariate analysis of variance indicated a statistically significant interaction. As the difficulty of the posttest components increased, the empirical evidence supporting the research hypotheses became more pronounced. The rigour of the study's theoretical framework was further tested by the construction of a measure of instructional efficiency, based on an index of cognitive load, and the construction of a measure of problem-solving efficiency, based on problem-solving time. The consistent empirical evidence within this study that learning from worked examples is affected by an interaction of cognitive style and the structure and presentation of the worked examples emphasises the need to consider individual differences among senior secondary mathematics students to enhance educational opportunities. Implications for teaching and learning are discussed and recommendations for further research are outlined.

Narrative on a doctoral narrative : reflections on postgraduate study and pedagogy

This paper explores the stages of one student’s intellectual journey through a Doctor of Philosophy program of study in an Australian university. It outlines the theoretical and methodological insights made as she came to understand that data was discourse, entailing a politics and position of power that ran contrary to the aims of the study that the student was undertaking in and on her own community. The article is a reflective narrative produced from the experience of having to come to terms with some of the personal and professional tensions and contradictions that postgraduate study can, and maybe should, engender if it is to be any of real value.

Integrating a sustainable academic career around scholarly learning and teaching activities

To be scholarly in learning and teaching is rigorous academic work. It demands: currency and command of both discipline subject matter and educational theory; inquiring, methodical, and reflective approaches; the collection, evaluation and documentation of evidence of learning and teaching efficacy; and, optimally, entails participation in and communication among a community of teaching professionals. This chapter examines the author’s own practice in this regard to explicate the ‘how’ and ‘why’ of scholarly and scholarship approaches, as much as the ‘what’ and ‘where’ of that endeavour. In doing so, this meta‐analysis is made ‘community property’, in the same way that Shulman (1993: 6) exhorted we ‘change the status of teaching from private to community property’ so that teaching might be more greatly valued in the academy.

Overloading truck traffic study and strategy to minimise it

Overloaded truck traffic is a significant problem on highways around the world. Developing countries in particular, overloaded truck traffic causes large amounts of unexpected expenditure in terms of road maintenance because of premature pavement damage. Overloaded truck traffic is a common phenomenon in developing countries, because of inefficient road management and monitoring systems. According to the available literature, many developing countries are facing the same problem, which is economic loss caused by the existence of overloaded trucks in the traffic stream. This paper summarizes the available literature, news reports, journal articles and traffic research regarding overloaded traffic. It examines the issue of overloading and the strategies and legislation used in developed countries.

Conceptualising and teaching discursive and performative reflection in higher education

The importance of reflection in higher education, and across disciplinary fields is widely recognised. It is generally embedded in university graduate attributes, professional standards and course objectives. Furthermore, reflection is commonly included in assessment requirements in higher education subjects, often without necessary scaffolding or clear expectations for students. It is essential that academic staff have substantive knowledge and clear expectations about the aims of reflective activities, the most effective mode of representation, and appropriate teaching strategies to support students in deep, critical reflection. The paper argues the case for reflection to be represented in different modes, using discursive (language) or performative (symbolic practice) forms of expression according to disciplinary context and individual communicative strengths. It introduces key discursive and expressive elements that constitute different modes of representation in reflective tasks. This functional analysis of textual elements provides explicit knowledge for teaching and assessing multiple modes of reflection in higher education.

Moral and social development : teachers’ knowledge of learning and teaching strategies in the early years

The intention of the analysis in this paper was to determine, from interviews with eleven early years’ teachers, what knowledge guided their teaching of moral behaviour. Six of the teachers defined moral behaviour in terms of social conventions only. Children’s learning was attributed by five of the teachers to incidental/contextual issues. Nine of the teachers used discussion of issues, in various contexts, as a way of teaching about social and moral issues. The majority of the teachers (n=7) gave the source of their knowledge of pedagogy as practical as opposed to theoretically informed. There was no clear relationship between their definitions, understanding of children’s learning, pedagogy or source of knowledge. Most of the teachers were using discussion, negotiation and reflection to develop the children’s moral and social behaviour. This is probably effective; however, it suggests a strong need for teaching of moral development to be given more prominence and addressed directly in in-service courses so that teachers are clear about their intentions and the most effective ways of achieving them.

The visual arts: ways of seeing

In this chapter, Felicity McArdle provides a framework for planning,implementing and assessing quality experiences in the visual arts. She describes the importance of embedding Indigenous perspectives and knowledge in the curriculum and how to a build a repertoire of resources and practical ideas to assist children to become eff ective communicators through the use of symbol systems for meaning-making.