Objectifying early-number : a visual nomenclature to express mathematical domain knowledge

To address issues of divisive ideologies in the Mathematics Education community and to subsequently advance educational practice, an alternative theoretical framework and operational model is proposed which represents a consilience of constructivist learning theories whilst acknowledging the objective but improvable nature of domain knowledge. Based upon Popper’s three-world model of knowledge, the proposed theory supports the differentiation and explicit modelling of both shared domain knowledge and idiosyncratic personal understanding using a visual nomenclature. The visual nomenclature embodies Piaget’s notion of reflective abstraction and so may support an individual’s experience-based transformation of personal understanding with regards to shared domain knowledge. Using the operational model and visual nomenclature, seminal literature regarding early-number counting and addition was analysed and described. Exemplars of the resultant visual artefacts demonstrate the proposed theory’s viability as a tool with which to characterise the reflective abstraction-based organisation of a domain’s shared knowledge. Utilising such a description of knowledge, future research needs to consider the refinement of the operational model and visual nomenclature to include the analysis, description and scaffolded transformation of personal understanding. A detailed model of knowledge and understanding may then underpin the future development of educational software tools such as computer-mediated teaching and learning environments.

A visual description of early-number counting, addition and subtraction knowledge

Early-number is a rich fabric of interconnected ideas that is often misunderstood and thus taught in ways that do not lead to rich understanding. In this presentation, a visual language is used to describe the organisation of this domain of knowledge. This visual language is based upon Piaget’s notion of reflective abstraction (Dubinsky, 1991; Piaget, 1977/2001), and thus captures the epistemological associations that link the problems, concepts and representations of the domain. The constructs of this visual language are introduced and then applied to the early-number domain. The introduction to this visual language may prompt reflection upon its suitability and significance to the description of other domains of knowledge. Through such a process of analysis and description, the visual language may serve as a scaffold for enhancing pedagogical content knowledge and thus ultimately improve learning outcomes.

A Popperian consilience : modelling mathematical knowledge and understanding

Goldin (2003) and McDonald, Yanchar, and Osguthorpe (2005) have called for mathematics learning theory that reconciles the chasm between ideologies, and which may advance mathematics teaching and learning practice. This paper discusses the theoretical underpinnings of a recently completed PhD study that draws upon Popper’s (1978) three-world model of knowledge as a lens through which to reconsider a variety of learning theories, including Piaget’s reflective abstraction. Based upon this consideration of theories, an alternative theoretical framework and complementary operational model was synthesised, the viability of which was demonstrated by its use to analyse the domain of early-number counting, addition and subtraction.

Reshaping Doctoral Education : International Approaches and Pedagogies

The number of doctorates being awarded around the world has almost doubled over the last ten years, propelling it from a small elite enterprise into a large and ever growing international market. Within the context of increasing numbers of doctoral students this book examines the new doctorate environment and the challenges it is starting to face. Drawing on research from around the world the individual authors contribute to a previously under-represented focus of theorising the emerging practices of doctoral education and the shape of change in this arena. Key aspects, expertly discussed by contributors from the UK, USA, Australia, New Zealand, China, South Africa, Sweden and Denmark include: -the changing nature of doctoral education -the need for systematic and principled accounts of doctoral pedagogies -the importance of disciplinary specificity -the relationship between pedagogy and knowledge generation -issues of transdisciplinarity. Reshaping Doctoral Education provides rich accounts of traditional and more innovative pedagogical practices within a range of doctoral systems in different disciplines, professional fields and geographical locations, providing the reader with a trustworthy and scholarly platform from which to design the doctoral experience. It will prove an essential resource for anyone involved in doctorate studies, whether as students, supervisors, researchers, administrators, teachers or mentors.

Nobody says no : student self-censorship in a collaborative knowledge building activity

This paper explores student self-censorship within an online learning environment. Self-censorship in group activity can be seen as a two-edged sword. While it can be advantageous that a student censor personal frustration and angst when working with others, if the self-censorship impacts on the cognitive contribution a student makes then this may significantly impact upon the overall quality of the group’s collective knowledge artefact. This paper reports on a study where it was found that students had self censored both their feelings and ideas as they collaboratively worked together.

Urban informatics for rural knowledge economies

This position paper provides an overview of a proposed study that seeks to design and develop tools, methods and applications of urban informatics to promote an innovation culture and knowledge economy in regional Queensland. The National Broadband Network has the potential to leapfrog regional Queensland to join the knowledge economy, but effective applications and content strategies are required. The Edge is the Queensland Government’s Digital Culture Centre to engage young people in the technology/culture nexus. This position paper provides an overview of a proposed study that will set up Living Labs at The Edge and in a new precinct in rural Queensland (Goondiwindi) as sites to trial strategies and applications that engage people in entrepreneurial thinking, sustainability initiatives, and new creative practices across the urban and rural boundaries.

Improving service innovation through structured process-oriented knowledge infrastructure design

Formalised service innovation is a central tenet of enterprise systems lifecycle phases. Event driven process models extended with knowledge objects are found to be not useful in early lifecycle phases. When an upgrade is required, a map of the knowledge infrastructure is needed to better design further service innovation because functional maps no longer adequately describe the context adequately. By looking at formal changes to business processes as service innovations, and recognising the knowledge infrastructure inherent in services generally, changes driven through technology such as ES can be better understood with the application of frameworks such as B-KIDE.

An integrated knowledge management framework for managing sustainability knowledge in the Australian infrastructure sector

In Australia, it has been increasingly accepted that sustainability needs to be at the top of the agenda when contemplating infrastructure development. In practice however, many companies struggle to find effective ways to embrace sustainable ideas and implement them in real projects beyond minimum compliance. One of the reasons is the lack of underpinning knowledge and evidence to demonstrate and measure the linkage between sustainability implementations and the relevant outcomes. This is compounded by the fact that very often there are no common understandings between the stakeholders on sustainability and there is a big divide between research advancement and real-life applications. Therefore it is both feasible and timely to develop and expand the body of sustainability knowledge on infrastructure development and investigate better ways of communicating with and managing it within the infrastructure sector. Although knowledge management (KM) is a relatively new and emerging discipline, it has shown its value and promise in existing applications in the construction industry. Considering the existing KM mechanisms and tools employed in practice, this research is aimed at establishing a specific KM approach to facilitate sustainability knowledge identification, acquisition, sharing, maintenance and application within the infrastructure sector, and promote integrated decision-making for sustainable infrastructure development. A triangulation of questionnaire survey, semi-structured interviews and case studies was employed in this research to collect required qualitative and quantitative data. The research studied the unique characteristics of the infrastructure sector, the nature of sustainability knowledge, and evaluated and validated the critical elements, key processes, and priority issues of KM for the Australian infrastructure sector. A holistic KM framework was developed to set the overall context for managing sustainability knowledge in the infrastructure sector by outlining (1) the main aims and outcomes of managing sustainability knowledge, (2) the key knowledge activities, (3) effective KM strategies and instruments, and (4) KM enablers. Because of the highly project-oriented nature of the infrastructure sector, knowledge can only add value when it is being used in real projects. Implementation guidelines were developed to help the industry practitioners and project teams to apply sustainability knowledge and implement KM in infrastructure project scenarios. This research provides the Australian infrastructure sector with tools to better understand KM, helps the industry practitioners to prioritize attention on relevant sustainability issues, and recommends effective practices to manage sustainability knowledge, especially in real life implementation of infrastructure projects.

Influencing pre-service teachers, skills and attitudes towards diversity. Is DOL the Answer?

Abstract: This paper reports on a preliminary investigation into the success of an undergraduate course, in helping preservice teachers at a regional university develop the skills and attitudes necessary to design inclusive learning environments that cater for, and celebrate, difference. The study is particularly relevant given recommendations by the Education Queensland Ministerial Taskforce (Queensland Government, 2004) that all pre-service teacher education programs must ensure that inclusive education is a pervasive theme. The paper starts by providing an overview of inclusive contexts and a rationale for inclusive education including critical elements. This leads into an overview of the undergraduate course EDED11400 Managing Diversity and discussion, based on feedback from the teaching team, on the capacity for the course to help pre-service teachers develop inclusive curriculum and pedagogical practices. The pedagogical framework Dimensions of Learning* is then discussed, with consideration given to whether this framework with its focus on critical thinking and habits of mind, might improve future learning outcomes in the course EDED11400 Managing Diversity. (*Dimensions of Learning is a pedagogical framework designed to teach thinking skills (Marzano et al., 1988). It explores five types of thinking represented in the framework by five dimensions of learning.)

Diversity in Knowledge Management : A Cultural Approach

This paper reviews diversity in knowledge management (KM) from a cultural perspective; it argues that culturally embedded theories and practices influence the practice of knowledge management. It further presents and analyses several case studies and in particular a case study of the Islamic culture focusing on its traditional approach to both Islamic knowledge and management. The analysis of this case reveals the cultural challenges that emerge in the process of applying essentially Western management theories within an Islamic culture with particular reference to knowledge management theories. The paper concludes that the concept of knowledge management must take into account the diversity of national culture in which the organization exists and that the concept of knowledge management will benefit from a diversity perspective rather than a universality perspective.

Knowledge management in law enforcement : knowledge views for patrolling police officers

This paper describes and classifies different types of knowledge that are a part of police patrol officer's practice. Even though an investigation usually forces a police officer to apply several different knowledge types, this paper discusses different forms of professional knowledge separately to enable categorisation.

Knowledge management in policing : the case of police complaints and police crime

This article is concerned with knowledge management in policing police crime. Police crime is defined as crime committed by police officers on duty. There seems to be a tendency to consider police crime as a result of bad practice rather than the acts of criminals. However, examples illustrate that criminal acts are intentionally carried out by police officers on duty. The article looks at the kinds of knowledge which agencies require to investigate police complaints and police crime successfully.

Knowledge-based urban development processes of an emerging knowledge city : Brisbane, Australia

In the global knowledge economy, to attract and retain knowledge-intensive industries and workers, cities produce various development strategies. Such strategising is an important development mechanism for cities to complete their transformation into knowledge cities. This paper discusses the critical connections between knowledge city foundations and integrated knowledge-based urban development strategies, and scrutinises Brisbane’s strategies in attracting and retaining investment and talent. The paper introduces a knowledge-based urban development assessment framework and uses this framework to provide a clearer understanding of Brisbane’s knowledge-based development processes and knowledge city transformation experience. The assessment framework particularly focuses on examining Brisbane’s four development processes, institutional, economic, socio-cultural and urban development, in detail. The findings reveal that although Brisbane is still in early stages of its transformation into a fully-fledged knowledge city, global orientation and achievements of Brisbane in strategising knowledge-based urban development are noteworthy.

The role of universities in building prosperous knowledge cities : the Malaysian experience

This paper explores the role and importance of universities, particularly in the Malaysian context, for building prosperous knowledge cities of the rising knowledge economy. It aims to shed light on how universities contribute to the knowledge-based development of Malaysian cities by undertaking a case study investigation. In the case of Bandar Seri Iskandar, the paper scrutinises the creation – from scratch – of a knowledge city, including the establishment of new public and private universities and hence providing a unique opportunity to understand how the idea of the knowledge economy has permeated economic development policy within a developing country context. The research findings reveal that in Malaysia, much like many of the developed countries, universities are being positioned to play a major role in supporting knowledge city (trans)formation. While there has been a tangible success on the spatial development based on a rapid land use change towards accommodating knowledge-intensive land use and activities, the research reports that a more concerted and coordinated effort from academia, public and private sectors are needed to further foster the growth and development of economical, environmental, institutional and social aspects of Bandar Seri Iskandar to become a fully functioning prosperous knowledge city.

Moving towards a knowledge city? Brisbane's experience in knowledge-based urban development

: In the global knowledge economy, knowledge-intensive industries and knowledge workers are extensively seen as the primary factors to improve the welfare and competitiveness of cities. To attract and retain such industries and workers, cities produce knowledge-based urban development strategies, where such strategising is also an important development mechanism for cities and their economies. This paper investigates knowledge-based urban development strategies of Brisbane, Australia that support generation, attraction, and retention of investment and talent. The paper puts forward a clear understanding on the policy frameworks, and relevant applications of Brisbane’s knowledge-based urban development experience in becoming a prosperous knowledge city, and concludes by providing invaluable insights and directions for other cities seeking knowledge-based urban development.