Towards a model for the analysis and description of mathematical knowledge and understanding

Mathematics education literature has called for an abandonment of ontological and epistemological ideologies that have often divided theory-based practice. Instead, a consilience of theories has been sought which would leverage the strengths of each learning theory and so positively impact upon contemporary educational practice. This research activity is based upon Popper’s notion of three knowledge worlds which differentiates the knowledge shared in a community from the personal knowledge of the individual, and Bereiter’s characterisation of understanding as the individual’s relationship to tool-like knowledge. Using these notions, a re-conceptualisation of knowledge and understanding and a subsequent re-consideration of learning theories are proposed as a way to address the challenge set by literature. Referred to as the alternative theoretical framework, the proposed theory accounts for the scaffolded transformation of each individual’s unique understanding, whilst acknowledging the existence of a body of domain knowledge shared amongst participants in a scientific community of practice. The alternative theoretical framework is embodied within an operational model that is accompanied by a visual nomenclature with which to describe consensually developed shared knowledge and personal understanding. This research activity has sought to iteratively evaluate this proposed theory through the practical application of the operational model and visual nomenclature to the domain of early-number counting, addition and subtraction. This domain of mathematical knowledge has been comprehensively analysed and described. Through this process, the viability of the proposed theory as a tool with which to discuss and thus improve the knowledge and understanding with the domain of mathematics has been validated. Putting of the proposed theory into practice has lead to the theory’s refinement and the subsequent achievement of a solid theoretical base for the future development of educational tools to support teaching and learning practice, including computer-mediated learning environments. Such future activity, using the proposed theory, will advance contemporary mathematics educational practice by bringing together the strengths of cognitivist, constructivist and post-constructivist learning theories.

Benchmarking local E-Government

Increasingly, almost everything we do in our daily lives is being influenced by information and communications technologies (ICTs) including the Internet. The task of governance is no exception with an increasing number of national, state, and local governments utilizing ICTs to support government operations, engage citizens, and provide government services. As with other things, the process of governance is now being prefixed with an “e”. E-governance can range from simple Web sites that convey basic information to complex sites that transform the customary ways of delivering all sorts of government services. In this respect local e-government is the form of e-governance that specifically focuses on the online delivery of suitable local services by local authorities. In practice local e-government reflects four dimensions, each one dealing with the functions of government itself. The four are: (a) e-services, the electronic delivery of government information, programs, and services often over the Internet; (b) e-management, the use of information technology to improve the management of government. This might range from streamlining business processes to improving the flow of information within government departments; (c) e-democracy the use of electronic communication vehicles, such as e-mail and the Internet, to increase citizen participation in the public decision-making process; (d) e-commerce, the exchange of money for goods and services over the Internet which might include citizens paying taxes and utility bills, renewing vehicle registrations, and paying for recreation programs, or government buying office supplies and auctioning surplus equipment (Cook, LaVigne, Pagano, Dawes, & Pardo, 2002). Commensurate with the rapid increase in the process of developing e-governance tools, there has been an increased interest in benchmarking the process of local e-governance. This benchmarking, which includes the processes involved in e-governance as well as the extent of e-governance adoption or take-up is important as it allows for improved processes and enables government agencies to move towards world best practice. It is within this context that this article discusses benchmarking local e-government. It brings together a number of discussions regarding the significance of benchmarking, best practices and actions for local e-government, and key elements of a successful local e-government project.

CRE workshop part I : comprehending the context

CRE (Corporate Real Estate) decisions should not simply deal with the management of individual facilities, but should especially be concerned with the relationships that a facility has with the corporate business strategy and with the larger real estate markets. Both the practice and the research of CRE management have historically tended to emphasize real estate issues and ignore the corporation’s business issues, causing real estate strategies to be disconnected from the goal and priorities of the corporation’s senior management. With regard to office cycles, a large number of econometric models have been proposed during the last 20 years. However, evidence from historical data and previous research in the field of real estate forecasting seem to agree only on one thing: the existence of interconnected property cycles that are concentrated on vacancy rates (demand). Vacancy also represents the linkage between the inadequacy of existing CRE strategies and the inability of existing econometric models to correctly forecast office rent cycles. Business cycles, across different industry sectors, have decreased from 5-7 years to 1-3 years today, yet corporations are still entering into leases of 5-10 years, causing hidden vacancy levels to rise. Possibly, once CRE strategies are totally in tune with the overall business, hidden vacancy will fade away providing forecasters with better quality data. The aim of this paper is not to investigate whether and when the supply-side will eventually evolve to provide flexible occupancy arrangements to accommodate corporate agility requirements, but rather to propose a general framework for corporations to improve the decision making process of their CRE executives, while emphasizing the importance of understanding the context as a precondition to effective real estate involvements.

Mentoring across the professions : some issues and challenges

Mentoring has been identified as a valuable learning activity for beginners and more experienced personnel across a range of professions. For example, education, nursing, medicine, law, accounting , and public administration are among those professions that have utilised mentoring programs as a way of socialising and developing the skills and competencies of new professionals. The definition of mentoring used in this paper comes from Hansford, Tennent, and Ehrich (2002, 2003) that describes mentoring as a process whereby a more experienced practitioner works with, supports, guides and provides professional development to a less experienced practitioner. Mentoring, then, is often used to develop novice or less experienced professionals at two important phases in their career: (i) during their initial university training; and (ii) after graduation from university. For example, within the field experience components of many university degrees in education, nursing, medicine, social work, and other human service programs, students are assigned workplace mentors who assist them in transferring important skills and knowledge learned at university into practical setting. For concentrated periods of time during their degree, pre-service teachers, pre-service nurses and medical students work in the field alongside a workplace mentor.

Transitioning to practice across the professions : some lessons from the teaching profession

Across the professions, there is strong interest in the transition between graduation and early stages of professional practice. Our initial literature search revealed that this period of transition is significant to professions that include nursing, vets, midwives, financial planners, lawyers, occupational therapists, doctors as well as our particular area of interest - teachers. This importance is easy to understand for in these applied fields new graduates need to be competent in applying and synthesizing their theoretical content knowledge on a daily basis, often with limited supervision and mentoring (Goetz, Tombs & Hampton, 2005). As such, this transition period is of critical importance to the individual and their feelings of competence and early profession learning. An added layer for graduates in these professions during this transition/probation period is that they are also expected to have well-developed 'soft skills' such as communication, problem solving, and teamwork (Oblinger & Verville, 1998; Rao & Sylvester, 2000) in order to be effective in their roles.

Ethical dilemmas : a model to understand teacher practice

Over recent decades, the field of ethics has been the focus of increasing attention in teaching. This is not surprising given that teaching is a moral activity that is heavily values-laden. Because of this, teachers face ethical dilemmas in the course of their daily work. This paper presents an ethical decision-making model that helps to explain the decision-making processes that individuals or groups are likely to experience when confronted by an ethical dilemma. In order to make sense of the model, we put forward three short ethical dilemma scenarios facing teachers and apply the model to interpret them. Here we identify the critical incident, the forces at play that help to illuminate the incident, the choices confronting the individual and the implications of these choices for the individual, organization and community. Based on our analysis and the wider literature we identify several strategies that may help to minimize the impact of ethical dilemmas. These include the importance of sharing dilemmas with trusted others; having institutional structures in schools that lessen the emergence of harmful actions occurring; the necessity for individual teachers to articulate their own personal and professional ethics; acknowledging that dilemmas have multiple forces at play; the need to educate colleagues about specific issues; and the necessity of appropriate preparation and support for teachers. Of these strategies, providing support for teachers via professional development is explored more fully.

Colin Marsh (2010) Becoming a Teacher : Knowledge, Skills and Issues. 5th edition, Frenchs Forrest : Pearson Education Australia, 459 pages. [Book Review]

In the preface to the fifth edition of Becoming a Teacher, Colin Marsh reminds us that teachers need to have passion, energy and a commitment to enhance students’ learning. This most recent edition certainly provides examples of the author’s wide ranging knowledge and depth of insights that reflect his own commitment to inspirational and dedicated teaching practice. The fifth edition shares those characteristics which made previous editions so worthwhile. Most notable is the subtle but significant dual theme of Marsh’s narrative. That is, first, teaching is a vehicle for increasing the life opportunities of students, and second, teaching is profession that requires continual commitment and critical reflection. These are very important messages for any course that develops teaching methodology. Becoming a Teacher continues to be structured in five readable sections, however the 2010 edition has some exciting new features that warrant the attention of teacher educators and their pre-service students.

Pedagogies of industry partnership

This chapter discusses the experiences of doctoral students who work across traditional disciplinary and university-industry boundaries. These new contexts for doctoral education are shaping how students are experiencing and responding to requirements for changing knowledge relationships. Drawing on Bernstein's discussion of pedagogic practice as being socially constructed, and his conceptual framework outlining the social implications of the weaker boundaries required for these knowledge relationships, we discuss students' descriptions of their topics, processes and challenges and show their strategies for performing scholarly research across these boundaries as key elements in the nature and achievement of “industry readiness”. In particular, we identify two key elements in the pedagogy of industry partnership: students’ understandings and management of the knowledge relationships involved in this work, and the dispositions they bring to bear in negotiating research and careers across disciplinary and sectoral boundaries.

Moving tele-monitoring and tele-treatment from promise to practice : a business model approach for a chronic lower back pain application

The availability of new information and communication technologies creates opportunities for new, mobile tele-health services. While many promising tele-health projects deliver working R&D prototypes, they often do not result in actual deployment. We aim to identify critical issues than can increase our understanding and enhance the viability of the mobile tele-health services beyond the R&D phase by developing a business model. The present study describes the systematic development and evaluation of a service-oriented business model for tele-monitoring and -treatment of chronic lower back pain patients based on a mobile technology prototype. We address challenges of multi-sector collaboration and disruptive innovation.

Policy into practice : adoption of hazard mitigation measures by local government in Queensland : a collaborative research project between Queensland University of Technology and Emergency Management Queensland in association with Local Government of Queensland Disaster Management Alliance

The focus of the present research was to investigate how Local Governments in Queensland were progressing with the adoption of delineated DM policies and supporting guidelines. The study consulted Local Government representatives and hence, the results reflect their views on these issues. Is adoption occurring? To what degree? Are policies and guidelines being effectively implemented so that the objective of a safer, more resilient community is being achieved? If not, what are the current barriers to achieving this, and can recommendations be made to overcome these barriers? These questions defined the basis on which the present study was designed and the survey tools developed. While it was recognised that LGAQ and Emergency Management Queensland (EMQ) may have differing views on some reported issues, it was beyond the scope of the present study to canvass those views. The study resolved to document and analyse these questions under the broad themes of: • Building community capacity (notably via community awareness). • Council operationalisation of DM. • Regional partnerships (in mitigation/adaptation). Data was collected via a survey tool comprising two components: • An online questionnaire survey distributed via the LGAQ Disaster Management Alliance (hereafter referred to as the “Alliance”) to DM sections of all Queensland Local Government Councils; and • a series of focus groups with selected Queensland Councils

Developing a social justice framework to ensure good practice in higher education

As higher education institutions respond to government targets to widen participation, their student populations will become increasingly diverse, and the mechanisms in place to support student success and retention will be more closely scrutinised.

Body-site distribution of skin cancer, pre-malignant and common benign pigmented lesions excised in general practice

Background Concern about skin cancer is a common reason for people from predominantly fair-skinned populations to present to primary care doctors. Objectives To examine the frequency and body-site distribution of malignant, pre-malignant and benign pigmented skin lesions excised in primary care. Methods This prospective study conducted in Queensland, Australia, included 154 primary care doctors. For all excised or biopsied lesions, doctors recorded the patient's age and sex, body site, level of patient pressure to excise, and the clinical diagnosis. Histological confirmation was obtained through pathology laboratories. Results Of 9650 skin lesions, 57·7% were excised in males and 75·0% excised in patients ≥50years. The most common diagnoses were basal cell carcinoma (BCC) (35·1%) and squamous cell carcinoma (SCC) (19·7%). Compared with the whole body, the highest densities for SCC, BCC and actinic keratoses were observed on chronically sun-exposed areas of the body including the face in males and females, the scalp and ears in males, and the hands in females. The density of BCC was also high on intermittently or rarely exposed body sites. Females, younger patients and patients with melanocytic naevi were significantly more likely to exert moderate/high levels of pressure on the doctor to excise. Conclusions More than half the excised lesions were skin cancer, which mostly occurred on the more chronically sun-exposed areas of the body. Information on the type and body-site distribution of skin lesions can aid in the diagnosis and planned management of skin cancer and other skin lesions commonly presented in primary care.

Computing in performing arts education and practice

The performing arts have traditionally made limited use of and showed limited acceptance of computing technology. There are cognitive, physical, environmental, and social influences on the use of computers in performing arts. This paper will examine those influences on the practice of computers in the performing arts and their implications for education in those areas. These implications for the learning environment include infrastructure, interface design, industrial design, and software functionality. Although many of the issues raised in this paper are common to all visual and performing arts, there are significant differences between them which require abstraction of the concepts presented in this paper beyond the more practical focus intended. In particular there are differences in the ways humans are involved in the presentation of a work, and the transitory verses static nature of time in art products.

Drawing together as inclusive practice in early years learning

Contemporary critiques on early years education highlight a call for the need to implement teaching and learning strategies that are less managing, that emerge from equity and inclusivity agendas, and that recognise diversity and plurality in early years learning contexts. Such critiques raise a need to reconsider the ways we engage as adults with children, and to rethink how we might review these relational subjectivities in respect to teaching and learning. This paper focuses on some aspects of a pilot research study into collaborative drawing in order to discuss ideas about socially inclusive early childhood pedagogies.