Years 2 to 6 students' ability to generalise : models, representations and theory for teaching and learning

Over the last three years, in our Early Algebra Thinking Project, we have been studying Years 3 to 5 students’ ability to generalise in a variety of situations, namely, compensation principles in computation, the balance principle in equivalence and equations, change and inverse change rules with function machines, and pattern rules with growing patterns. In these studies, we have attempted to involve a variety of models and representations and to build students’ abilities to switch between them (in line with the theories of Dreyfus, 1991, and Duval, 1999). The results have shown the negative effect of closure on generalisation in symbolic representations, the predominance of single variance generalisation over covariant generalisation in tabular representations, and the reduced ability to readily identify commonalities and relationships in enactive and iconic representations. This chapter uses the results to explore the interrelation between generalisation and verbal and visual comprehension of context. The studies evidence the importance of understanding and communicating aspects of representational forms which allowed commonalities to be seen across or between representations. Finally the chapter explores the implications of the studies for a theory that describes a growth in integration of models and representations that leads to generalisation.

Academic practice as explanatory framework : reconceptualising international student academic engagement and university teaching

This paper joins growing interest in the concept of practice, and uses it to reconceptualise international student engagement with the demands of study at an Australian university. Practice foregrounds institutional structures and student agency and brings together psychologically- and socially-oriented perspectives on international student learning approaches. Utilising discourse theory, practice is defined as habitual and individual instances of socially-contextualised configurations of elements such as actions and interactions, roles and relations, identities, objects, values, and language. In the university context, academic practice highlights the institutionally-sanctioned ways of knowing, doing and being that constitute academic tasks. The concept is applied here to six international students’ ‘readings’ of and strategic responses to academic work in a Master of Education course. It is argued that academic practice provides a comprehensive framework for explaining the interface between university academic requirements and international student learning, and the crucial role that teaching has in facilitating the experience.

Finding the remote: Immersive learning in an outback community

Real-world design education projects present particular challenges when in a place remote from and distinctively different to students’ familiar territory. The teaching challenge is to assist students to translate the skills they learn at university into an entirely new context, facilitating a project they will learn from, and the community will value. In 2008 QUT design and engineering students undertook a project called Linking Karumba for this remote Queensland town. They engaged with a landscape, climate and community dramatically different from their base in urban Brisbane, and in a fortnight produced locally responsive strategic planning options. The theoretical approach to this was twofold: they needed to make a rapid shift along a continuum from being “outsiders” towards becoming “insiders” (Relph 1976), and to create designs responsive to local distinctiveness (Cumberlidge and Musgrave 2007). This paper outlines Linking Karumba’s teaching strategy via an analogy with the “immersion” method in bilingual education. Three teaching methods were adopted. Firstly, the overall framework drew on Brockbank and McGill (1998), and Thomas’ (2006a) approaches to student reflective practice. Within this, Girot’s “Four Trace Concepts” (1999) inspired exercises for finding Karumba and moving toward insideness; and a program of community engagement sought immersion in local distinctiveness, and “conversation” between the differing forms of knowledge and capacities embedded within the community and students (Armstrong 1999, Thomas 2006). The responsiveness of the student work to the character of Karumba’s culture and environment indicated remarkable levels of immersion, and the community highly valued the project outcomes: four strategic planning options which attracted $830 000 in state government funding for implementation.

Virtual communities as tools to support teaching practicum

The impact of Web 2.0 and social networking tools such as virtual communities, on education has been much commented on. The challenge for teachers is to embrace these new social networking tools and apply them to new educational contexts. The increasingly digitally-abled student cohorts and the need for educational applications of Web 2.0 are challenges that overwhelm many educators. This chapter will make three important contributions. Firstly it will explore the characteristics and behaviours of digitally-abled students enrolled in higher education. An innovation of this chapter will be the appli- cation of Bourdieu’s notions of capital, particularly social, cultural and digital capital to understand these characteristics. Secondly, it will present a possible use of a commonly used virtual community, Facebook©. Finally it will offer some advice for educators who are interested in using popular social networking communities, similar to Facebook©, in their teaching and learning.

It really is black and white when you look at it like this : reporting on a study into Australian professors' research and teaching priorities

Despite optimistic claims about the research-teaching nexus, Australian academics still face tension between research and teaching. The teaching and research priorities, beliefs and behaviours of 70 Professorial and Associate Professorial academics in Science, Information Technology and Engineering were examined in this study. The academics from 4 faculties in 3 Australian universities, were asked to rank 16 research activities and 16 matched learning and teaching (L&T) activities from each of three perspectives: job satisfaction, leadership behaviour, and perceptions of professional importance. The findings, which were remarkably consistent across the three universities, were unequivocally in favour of Research. The only L&T activity that was ranked consistently well was “Improving student satisfaction ratings for Teaching”. The data demonstrates that Australian government and university initiatives to raise the status of L&T activity are not impacting significantly on Australia’s future leaders of university learning.

An interview with Professor David Held : exploring the concepts of cosmopolitanism and democracy

David Held is the Graham Wallace Chair in Political Science, and co-director of LSE Global Governance, at the London School of Economics. He is the author of many works, such as Cosmopolitanism: Ideals and Realities (2010); The Cosmopolitanism Reader (2010), with Garrett Brown; Globalisation/AntiGlobalisation (2007), Models of Democracy (2006), Global Covenant (2004) and Global Transformations: Politics, Economics and Culture (1999). Professor Held is also the co-founder, alongside Lord Professor Anthony Giddens, of Polity Press. Professor Held is widely known for his work concerning cosmopolitan theory, democracy, and social, political and economic global improvement. His Global Policy Journal endeavours to marry academic developments with practitioner realities, and contributes to the understanding and improvement of our governing systems.

What is ERP?

Though enterprise resource planning (ERP) has gained some prominence in the information systems (IS) literature over the past few years and is a significant phenomenon in practice, through (a) a historical analysis, (b) meta-analysis of representative IS literature, and (c) a survey of academic experts, we reveal dissenting views on the phenomenon. Given this diversity of perspectives, it is unlikely that at this stage a broadly agreed definition of ERP can be achieved. We thus seek to increase awareness of the issues and stimulate further discussion, with the ultimate aim being to: (a) aid communication amongst researchers and between researchers and practitioners; (2) inform development of teaching materials on ERP and related concepts in university curricula and in commercial education and training; and (3) aid communication amongst clients, consultants and vendors. Increase transparence of the ERP concept within IS may also benefit other aligned fields of knowledge.

Primary students’ interpretation of maps : gesture use and mapping knowledge

Maps are used to represent three-dimensional space and are integral to a range of everyday experiences. They are increasingly used in mathematics, being prominent both in school curricula and as a form of assessing students understanding of mathematics ideas. In order to successfully interpret maps, students need to be able to understand that maps: represent space, have their own perspective and scale, and their own set of symbols and texts. Despite the fact that maps have an increased prevalence in society and school, there is evidence to suggest that students have difficulty interpreting maps. This study investigated 43 primary-aged students’ (aged 9-12 years) verbal and gestural behaviours as they engaged with and solved map tasks. Within a multiliteracies framework that focuses on spatial, visual, linguistic, and gestural elements, the study investigated how students interpret map tasks. Specifically, the study sought to understand students’ skills and approaches used to solving map tasks and the gestural behaviours they utilised as they engaged with map tasks. The investigation was undertaken using the Knowledge Discovery in Data (KDD) design. The design of this study capitalised on existing research data to carry out a more detailed analysis of students’ interpretation of map tasks. Video data from an existing data set was reorganised according to two distinct episodes—Task Solution and Task Explanation—and analysed within the multiliteracies framework. Content Analysis was used with these data and through anticipatory data reduction techniques, patterns of behaviour were identified in relation to each specific map task by looking at task solution, task correctness and gesture use. The findings of this study revealed that students had a relatively sound understanding of general mapping knowledge such as identifying landmarks, using keys, compass points and coordinates. However, their understanding of mathematical concepts pertinent to map tasks including location, direction, and movement were less developed. Successful students were able to interpret the map tasks and apply relevant mathematical understanding to navigate the spatial demands of the map tasks while the unsuccessful students were only able to interpret and understand basic map conventions. In terms of their gesture use, the more difficult the task, the more likely students were to exhibit gestural behaviours to solve the task. The most common form of gestural behaviour was deictic, that is a pointing gesture. Deictic gestures not only aided the students capacity to explain how they solved the map tasks but they were also a tool which assisted them to navigate and monitor their spatial movements when solving the tasks. There were a number of implications for theory, learning and teaching, and test and curriculum design arising from the study. From a theoretical perspective, the findings of the study suggest that gesturing is an important element of multimodal engagement in mapping tasks. In terms of teaching and learning, implications include the need for students to utilise gesturing techniques when first faced with new or novel map tasks. As students become more proficient in solving such tasks, they should be encouraged to move beyond a reliance on such gesture use in order to progress to more sophisticated understandings of map tasks. Additionally, teachers need to provide students with opportunities to interpret and attend to multiple modes of information when interpreting map tasks.

Expression and connection : the integration of the reflective learning process and the writing process into social network sites

A number of instructors have recently adopted social network sites (SNSs) for learning. However, the learning design of SNSs often remains at a preliminary level similar to a personal log book because it does not properly include reflective learning elements such as individual reflection and collaboration. This article looks at the reflective learning process and the public writing process as a way of improving the quality of reflective learning on SNSs. It proposes a reflective learning model on SNSs based on two key pedagogical concepts for social networking: individual expression and collaborative connection. It is expected that the model would be helpful for instructors in designing a reflective learning process on SNSs in an effective and flexible way.

Shifting the technology context : career-change entrants’ transition into teaching

Becoming a teacher in technology-rich classrooms is a complex and challenging transition for career-change entrants. Those with generic or specialist Information and Communication Technology (ICT) expertise bring a mindset about purposeful uses of ICT that enrich student learning and school communities. The transition process from a non-education environment is both enhanced and constrained by shifting the technology context of generic or specialist ICT expertise, developed through a former career as well as general life experience. In developing an understanding of the complexity of classrooms and creating a learner centred way of working, perceptions about learners and learning evolve and shift. Shifts in thinking about how ICT expertise supports learners and enhances learning preceded shifts in perceptions about being a teacher, working with colleagues, and functioning in schools that have varying degrees of intensity and impact on evolving professional identities. Current teacher education and school induction programs are seen to be falling short of meeting the needs of career-change entrants and, as a flow on, the students they nurture. Research (see, for example, Tigchelaar, Brouwer, & Korthagen, 2008; Williams & Forgasz, 2009) highlights the value of generic and specialist expertise career-change teachers bring to the profession and draws attention to the challenges such expertise begets (Anthony & Ord, 2008; Priyadharshini & Robinson-Pant, 2003). As such, the study described in this thesis investigated perceptions of career-change entrants, who have generic (Mishra & Koehler, 2006) or specialist expertise, that is, ICT qualifications and work experience in the use of ICT. The career-change entrants‘ perceptions were sought as they shifted the technology context and transitioned into teaching in technology-rich classrooms. The research involved an interpretive analysis of qualitative data and quantitative data. The study used the explanatory case study (Yin, 1994) methodology enriched through grounded theory processes (Strauss & Corbin, 1998), to develop a theory about professional identity transition from the perceptions of the participants in the study. The study provided insights into the expertise and experiences of career change entrants, particularly in relation to how professional identities that include generic and specialist ICT knowledge and expertise were reconfigured while transitioning into the teaching profession. This thesis presents the Professional Identity Transition Theory that encapsulates perceptions about teaching in technology-rich classrooms amongst a selection of the increasing number of career-change entrants. The theory, grounded in the data, (Strauss & Corbin, 1998) proposes that career-change entrants experience transition phases of varying intensity that impact on professional identity, retention and development as a teacher. These phases are linked to a shift in perceptions rather than time as a teacher. Generic and specialist expertise in the use of ICT is a weight of the past and an asset that makes the transition process more challenging for career-change entrants. The study showed that career-change entrants used their experiences and perceptions to develop a way of working in a school community. Their way of working initially had an adaptive orientation focussed on immediate needs as their teaching practice developed. Following a shift of thinking, more generative ways of working focussed on the future emerged to enable continual enhancement and development of practice. Sustaining such learning is a personal, school and systemic challenge for the teaching profession.

Teaching sustainability : vehicle or endpoint?

In 2006, the Faculty of Built Environment and Engineering introduced the first faculty wide unit dedicated to sustainability at any Australian University. BEB200 Introducing Sustainability has semester enrolments of up to 1500 students. Instruments such as lectures, readings, field visits, group projects and structured tutorial activities are used and have evolved over the last five years in response to student and staff feedback and attempts to better engage students. More than seventy staff have taught in the unit, which is in its final offering in this form in 2010. This paper reflects on the experiences of five academics who have played key roles in the development and teaching of this unit over the last five years. They argue that sustainability is a paradigm that allows students to explore other ways of knowing as they engage with issues in a complex world, not an end in itself. From the students’ perspective, grappling with such issues enables them to move towards a context in which they can understand their own discipline and its role in the contradictory and rapidly changing professional world. Insights are offered into how sustainability units may be developed in the future.

Experiencing higher degree research supervision as teaching

This article describes research higher degree supervisors’ experiences of supervision as a teaching and learning practice. While research education is considered central to the HDR experience, comparatively little is known to date of the pedagogical lenses adopted by supervisors as they go about their supervision. We worked with 35 supervisors engaged in discipline-specific and interdisciplinary research across architectural design, science, engineering, computer science, information systems and librarianship. Several of these supervisors conducted projects which interfaced with the social sciences and humanities. The pedagogies, constructed through the discussions and phenomenographic analysis, offer a picture of supervisors’ collective awareness of supervision as a teaching and learning practice. Supervision as a teaching and learning practice was experienced as: Promoting the supervisor’s development, Imparting academic expertise, Upholding academic standards, Promoting learning to research, Drawing upon student expertise, Enabling student development, Venturing into unexplored territory, Forming productive communities, and Contributing to society.

High-challenge teaching for senior English as an Additional Language (EAL) learners in times of change

This paper will present a brief overview of the recent shifts within English and EAL/D (English as an additional language/dialect) curriculum documents and their focus on critical literacy, using the Queensland context as a case in point. The English syllabus landscape in Queensland has continued to morph in recent years. From 2002 to 2009, teachers of senior English and English as an Additional Language (EAL/D) have witnessed no less than four separate syllabus documents that impact on their daily work. The Australian Curriculum, when finally implemented, will also require teachers to navigate and grapple with its particular obligations and affordances. The combined effect of the shifts and tensions between recent policy documents has led to confusion about exactly how to cater for EAL/D learners in mainstream English. We discuss the possible effects of this on teachers as the agents of policy implementation and argue that in spite of such contradictions, EAL/D teachers can productively use syllabus frameworks to craft pedagogy to cater for their EAL/D learners’ language and literacy needs. Following this, we present aspects of the teaching practice of four teachers of senior EAL/D, who provide intellectually-engaging, critical literacy pedagogy that takes into account the language proficiency level of their learners, within the required curriculum. Such practice provides teachers with valuable pedagogic possibilities to meet EAL/D learners’ needs within continually varying policy terrain.

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.

Enhancing the teaching of family and consumer sciences : the role of graphic organisers

In a world of constant and rapid change there are greater demands placed on learners to not only gain content knowledge, but also to develop learning skills and to adopt new strategies that will enable them to produce better and faster learning outcomes. Especially in internationally advancing nations like Kuwait this will be a major challenge of the future. This literature review examines theoretical frameworks that enhance Kuwaiti teachers’ knowledge and skill to adopt culturally relevant reform practices across a number of disciplines and provide guidance in an exploration and use of newer pedagogical tools like graphic organisers. It analyses the effects of graphic organisers on higher order learning and evaluates how they can effect professional development and pedagogical change in Kuwait.