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.

The teacher as reflexive professional : making visible the excluded discourse in teacher standards

In the current climate of accountability, political manoeuvring, changing curriculum, increasingly diverse student cohorts and community expectations, teachers, more than ever, need to develop the skills and abilities to be reflective and reflexive practitioners. This study examines national teacher professional standards from Australia and the UK to identify the extent to which reflexivity is embedded in key policy documents that are intended to guide the work of teachers in those countries. Using Margaret Archer's theories of reflexivity and morphogenesis, and methods of critical discourse analysis, we argue that these blueprints for teachers’ work exclude reflexivity as an essential and overarching discourse of teacher professionalism.

What do beginning English teachers want from professional development?

This qualitative, interpretive case study allows insights into the reflective emerging teacher practitioner as it explores pre-service and beginning teachers’ preparedness to deal with curriculum change and the demands of the classroom and school community. Five beginning teachers were asked what they want from professional development in a period of rapid curriculum change. The study aligns with emerging local and national agendas for teacher professional development and accreditation in Australia. The data analysis, based on “community of practice” perspectives, shows that new teachers have clear ideas about the professional development they need and want. Professional development is seen as integral to their developing professional identities. The paper has implications for the way leadership teams offer and how new teachers take up professional development opportunities, upon which registration is contingent.

E-portfolios : developing nurse practitioner competence and capability

Objective: This paper aims to integrate nurse practitioner literature on competence and capability with post graduate and nursing literature on e‑portfolios in order to demonstrate the potential merits of e‑portfolios in nurse practitioner education for competence and capability development. Primary Argument In the Nurse Practitioner Standards Project, competence and capability were proposed as key criteria to assess candidates in nurse practitioner educational courses. Portfolios have traditionally been used to demonstrate competence in nursing and are integral to nursing education as well. An examination of the portfolio and electronic portfolio literature in postgraduate nursing education and professional practice indicates that these portfolios fall under two main structures, each with different purposes: 1) A spinal column structure, with evidence and reflective pieces aligned to competency standards or course objectives, for the purposes of meeting prescribed competencies, professional development planning and showcasing evidence for authorisation or potential employers; and 2) A cake mix structure, which consists of a reflective narrative tying evidence together, which enables a greater focus on personal learning journeys, reflection and the development of personal qualities. Finally, evidence from the general nursing literature suggests the complexity of e‑portfolios in assessment and evaluation can be overcome by using qualitative research methods. Conclusion: To meet the competence and capability needs of nurse practitioners, portfolios could be used, for competence and showcasing and for learning and capability. Further research would be useful to refine and explore the use of e‑portfolios to meet the needs of NP candidates and their educators, clinical mentors, authorisation personal and employers. The current evidence on nurse practitioner education, competence, capability and e‑portfolios points to the integration of the use of an e‑portfolio into current nurse practitioner curriculum models to meet the unique needs of nurse practitioner candidates.

Jams, jelly beans and the fruits of passion - art book (26 Pages)

Statement: Jams, Jelly Beans and the Fruits of Passion Let us search, instead, for an epistemology of practice implicit in the artistic, intuitive processes which some practitioners do bring to situations of uncertainty, instability, uniqueness, and value conflict. (Schön 1983, p40) Game On was born out of the idea of creative community; finding, networking, supporting and inspiring the people behind the face of an industry, those in the mist of the machine and those intending to join. We understood this moment to be a pivotal opportunity to nurture a new emerging form of game making, in an era of change, where the old industry models were proving to be unsustainable. As soon as we started putting people into a room under pressure, to make something in 48hrs, a whole pile of evolutionary creative responses emerged. People refashioned their craft in a moment of intense creativity that demanded different ways of working, an adaptive approach to the craft of making games – small – fast – indie. An event like the 48hrs forces participants’ attention onto the process as much as the outcome. As one game industry professional taking part in a challenge for the first time observed: there are three paths in the genesis from idea to finished work: the path that focuses on mechanics; the path that focuses on team structure and roles, and the path that focuses on the idea, the spirit – and the more successful teams put the spirit of the work first and foremost. The spirit drives the adaptation, it becomes improvisation. As Schön says: “Improvisation consists on varying, combining and recombining a set of figures within the schema which bounds and gives coherence to the performance.” (1983, p55). This improvisational approach is all about those making the games: the people and the principles of their creative process. This documentation evidences the intensity of their passion, determination and the shit that they are prepared to put themselves through to achieve their goal – to win a cup full of jellybeans and make a working game in 48hrs. 48hr is a project where, on all levels, analogue meets digital. This concept was further explored through the documentation process. All of these pictures were taken with a 1945 Leica III camera. The use of this classic, film-based camera, gives the images a granularity and depth, this older slower technology exposes the very human moments of digital creativity. ____________________________ Schön, D. A. 1983, The Reflective Practitioner: How Professionals Think in Action, Basic Books, New York

The Fifth 48 Hour Game Making Challenge (2011)

The 48-hour game making challenge started out in 2007 as a creative community event. We have run this event each year since and seen over 120 games made. 2011 was the most remarkable in that each of the 20 teams made a playable game – the shape of the challenge has changed …. We have invested in the process of reflective practice & action research, with the event being part of a sweep of programs that inform this research, with each year giving us fresh insights into both the creative practice and essential concerns, process and trends of the independent games industry creative community, which we then respond to within our curatorial development of the subsequent programming. The 2011 48-hour challenge research project focused on the people and the site. We were specifically interested in the manner in which the community occupied the creative space.

Writing the self : the emergence of a dialogic space

While much narrative inquiry is concerned with issues of self and identity, doing study on the processes (the how) of self-making offers ongoing challenges to methodology. This article explores the creation of a dialogic space that assisted young adolescents to write about themselves and their daily lives using email journals as an alternative to face-to-face interviews. With the researcher acting as a listener-responder, and in the absence of researcher-designed questions, a dynamic field was opened up for participant-led self-making to emerge over a six month period of self-reflective written expression. The article describes a shared email relationship based on a dialogic pattern of thinking, writing, listening and response intended to foster participants’ voices as ontological narratives of self. Findings show the use of email journals created a synergy for self-disclosure and a safe space for self-expression where the willingness of participants to be themselves was encouraged. The self-representations of a specific group of gifted young adolescents thus emerged as written versions of “who” they are —offering data that differs from interview approaches and contributing to discussion of the value of ontology narratives.

Fiber Bragg Grating sensors for railway systems

Fiber Bragg grating (FBG) sensor technology has been attracting substantial industrial interests for the last decade. FBG sensors have seen increasing acceptance and widespread use for structural sensing and health monitoring applications in composites, civil engineering, aerospace, marine, oil & gas, and smart structures. One transportation system that has been benefitted tremendously from this technology is railways, where it is of the utmost importance to understand the structural and operating conditions of rails as well as that of freight and passenger service cars to ensure safe and reliable operation. Fiberoptic sensors, mostly in the form of FBGs, offer various important characteristics, such as EMI/RFI immunity, multiplexing capability, and very long-range interrogation (up to 230 km between FBGs and measurement unit), over the conventional electrical sensors for the distinctive operational conditions in railways. FBG sensors are unique from other types of fiber-optic sensors as the measured information is wavelength-encoded, which provides self-referencing and renders their signals less susceptible to intensity fluctuations. In addition, FBGs are reflective sensors that can be interrogated from either end, providing redundancy to FBG sensing networks. These two unique features are particularly important for the railway industry where safe and reliable operations are the major concerns. Furthermore, FBGs are very versatile and transducers based on FBGs can be designed to measure a wide range of parameters such as acceleration and inclination. Consequently, a single interrogator can deal with a large number of FBG sensors to measure a multitude of parameters at different locations that spans over a large area.

Abduction : the writing of a historical novel

This is a practice-led project consisting of a historical novel Abduction and related exegesis. The novel is a third person intimate narrative set in the mid-nineteenth century and is based on actual events and persons caught up in, or furthering, the mass dispossession of small farmers in Scotland known as the ‘Clearances’. The narrative focuses on the situation in the Outer Hebrides and northern Scotland. It is based on documented facts leading up to a controversial trial in 1850 that arose because a twenty year old woman of the period (the central protagonist, Jess Mackenzie) eloped with a young farmer to escape her parent’s pressure to marry a rival suitor, himself a powerful lawyer and ‘factor’ at the centre of many of the Clearances. The young woman’s independent ideas were ahead of her time, and the decisions she made under great pressure were crucial in some dramatic events that unfolded in Scotland and later in the colony of Victoria, to which she and her new husband emigrated soon after the trial. The exegesis is composed of two unequal parts. It briefly considers the development of the literary historical fiction genre in the nineteenth century with Walter Scott in particular, a genre found useful in representing women’s issues of the Victorian era by Victorian and contemporary authors. The exegesis also briefly considers the appropriateness of the fiction genre (as opposed to creative nonfiction) in creating the lived experience in a fact-based work. The major part of the exegesis is a detailed, reflective analysis of the problem-solving process involved in writing the novel, structured by reference to Kate Grenville’s Searching for the Secret River – a work of metawriting that explains her creative process in researching and writing historical fiction based on fact.

The professional conversation : a new approach to professional learning in early childhood education and care

In 2009, Australia celebrated the introduction of a national Early Years Learning Framework. This is a critical component in a series of educational reforms designed to support quality pedagogy and practice in early childhood education and care (ECEC) and successful transition to school. As with any policy change, success in real terms relies upon building shared understanding and the capacity of educators to apply new knowledge and support change and improved practice within their service. With these outcomes in mind, a collaborative research project is investigating the efficacy of a new approach to professional learning in ECEC: The professional conversation. This paper provides an overview of the professional conversation approach, including underpinning principles and the design and use of reflective questions to support meaningful conversation and learning.

Tensions in developing a secure collective information practice : the case of Agile Ridesharing

Many current HCI, social networking, ubiquitous computing, and context aware designs, in order for the design to function, have access to, or collect, significant personal information about the user. This raises concerns about privacy and security, in both the research community and main-stream media. From a practical perspective, in the social world, secrecy and security form an ongoing accomplishment rather than something that is set up and left alone. We explore how design can support privacy as practical action, and investigate the notion of collective information-practice of privacy and security concerns of participants of a mobile, social software for ride sharing. This paper contributes an understanding of HCI security and privacy tensions, discovered while “designing in use” using a Reflective, Agile, Iterative Design (RAID) method.

Professional conversations : a new approach to professional learning in ECEC

In 2009, Australia celebrated the introduction of a national Early Years Learning Framework. This is a critical component in a series of education reforms designed to support quality pedagogy and practice in early childhood education and care (ECEC) and successful transition to school. As with any policy change, success in real terms relies upon building shared understanding and the capacity of educators to apply new knowledge and support change and improved practice within their service. With these outcomes in mind, a collaborative research project is investigating the efficacy of a new approach to professional learning in ECEC: the professional conversation. This paper reports on the trial and evaluation of a series of professional conversations on the Early Years Learning Framework, and their capacity to promote collaborative reflective practice, shared understanding, and improved practice in ECEC. The paper details the professional conversation approach, key challenges and critical success factors, and the learning outcomes for conversation participants. Findings support the efficacy of this approach to professional learning in ECEC, and its capacity to support policy reform and practice change in ECEC.

The impact of infrastructure charges on new housing costs : an international comparison

Sourcing funding for the provision of new urban infrastructure has been a policy dilemma for governments around the world for decades. This is particularly relevant in high growth areas where new services are required to support swelling populations. Existing communities resist the introduction of new taxes to fund such infrastructure, hence the introduction of charges to the developer has flourished. The Australian infrastructure funding policy dilemmas are reflective of similar matters to some extent in the United Kingdom, and to a greater extent the United States of America. In these countries, infrastructure cost recovery policies have been in place since the 1940’s and 1970’s respectively. There is an extensive body of theoretical and empirical literature that discusses the passing on (to home buyers) or passing back (to the englobo land seller) of these increased infrastructure charges, and the corresponding impact on housing cost and supply. The purpose of this research is to examine the international evidence that suggests infrastructure charges contribute to increased house prices as well as reduced land supply. The paper concludes that whilst the theoretical work is largely consistent, the empirical research to date is inconclusive and further research is required into these impacts in Australia.