Surveying theories and philosophies of mathematics education

Any theory of thinking or teaching or learning rests on an underlying philosophy of knowledge. Mathematics education is situated at the nexus of two fields of inquiry, namely mathematics and education. However, numerous other disciplines interact with these two fields which compound the complexity of developing theories that define mathematics education. We first address the issue of clarifying a philosophy of mathematics education before attempting to answer whether theories of mathematics education are constructible? In doing so we draw on the foundational writings of Lincoln and Guba (1994), in which they clearly posit that any discipline within education, in our case mathematics education, needs to clarify for itself the following questions: (1) What is reality? Or what is the nature of the world around us? (2) How do we go about knowing the world around us? [the methodological question, which presents possibilities to various disciplines to develop methodological paradigms] and, (3) How can we be certain in the “truth” of what we know? [the epistemological question]

Art and the sublime : the paradox of indeterminacy unknowing and (dis)orientation in the presentation of the unpresentable

the (dis)orientation of thought in its encounter with art can be understood as the direct result of an encounter with indeterminacy as a lack in meaning. As an artist I am aware of how this indeterminacy impacts on the perceived value and authority of the artistic voice and in particular its value as a research voice. This paper explores this indeterminacy of meaning, as a profound and disturbing unknowing characteristic of the sublime and argues its value to advanced thought and for any methodological understanding of practice-led research. Lyotard described the sublime as an ‘understanding’ through which art and its associated practices may be able to resist an all too easy assimilation by the public as just a consumer commodity. His thought represents an attempt to both politically and philosophically understand art’s, and particularly abstract painting’s, affect as a state of profound and positive unknowing. To talk of the sublime in art is to speak of the suspension of any comfortable certainty in being and instead to engage with the real as a limit to meaning and knowing. It is to talk of the presentation of the unpresentable as a momentary but significant dissolution of representation. This understanding of the sublime is then further explored through the cultural phenomena of the monochrome painting and applied to the work of the two contemporary artists, Franz Erhard Walter and Günter Umberg. Initially the monochrome was understood as an attempt to go beyond traditional representation and present the unpresentable. In the one hundred years or so since that initial move this understanding has broadened. The monochrome now presents itself as a genre or even project within visual art but it still has much to teach us. In the concretely abstract and performative artworks of Franz Erhard Walter and Günter Umberg, traces of this ambition remain and their work can be seen to pose questions probing our understandings and experiences of artistic meaning, its value and the real.

Contrasting scenarios : embracing speech recognition

The purpose of this chapter is to describe the use of caricatured contrasting scenarios (Bødker, 2000) and how they can be used to consider potential designs for disruptive technologies. The disruptive technology in this case is Automatic Speech Recognition (ASR) software in workplace settings. The particular workplace is the Magistrates Court of the Australian Capital Territory.----- Caricatured contrasting scenarios are ideally suited to exploring how ASR might be implemented in a particular setting because they allow potential implementations to be “sketched” quickly and with little effort. This sketching of potential interactions and the emphasis of both positive and negative outcomes allows the benefits and pitfalls of design decisions to become apparent.----- A brief description of the Court is given, describing the reasons for choosing the Court for this case study. The work of the Court is framed as taking place in two modes: Front of house, where the courtroom itself is, and backstage, where documents are processed and the business of the court is recorded and encoded into various systems.----- Caricatured contrasting scenarios describing the introduction of ASR to the front of house are presented and then analysed. These scenarios show that the introduction of ASR to the court would be highly problematic.----- The final section describes how ASR could be re-imagined in order to make it useful for the court. A final scenario is presented that describes how this re-imagined ASR could be integrated into both the front of house and backstage of the court in a way that could strengthen both processes.

Designing spatial story-telling software

What does it mean when we design for accessibility, inclusivity and "dissolving boundaries" -- particularly those boundaries between the design philosophy, the software/interface actuality and the stated goals? This paper is about the principles underlying a research project called 'The Little Grey Cat engine' or greyCat. GreyCat has grown out of our experience in using commercial game engines as production environments for the transmission of culture and experience through the telling of individual stories. The key to this endeavour is the potential of the greyCat software to visualize worlds and the manner in which non-formal stories are intertwined with place. The apparently simple dictum of "show, don't tell" and the use of 3D game engines as a medium disguise an interesting nexus of problematic issues and questions, particularly in the ramifications for cultural dimensions and participatory interaction design. The engine is currently in alpha and the following paper is its background story. In this paper we discuss the problematic, thrown into sharp relief by a particular project, and we continue to unpack concepts and early designs behind the greyCat itself.

Studio game-on

The studio-gameon event was supported by the Institute of the Creative Industries and Innovation and the Faculty of IT as part of the State Library of Queensland GAME ON exhibition (ex Barbican, UK) The studio produced a full game in six weeks. It was a curated event, a live web-based exhibition, a performance for the public and the team produced a digital / creative work which is available for download. The studio enabled a team of students to experience the pressures of a real game studio within the space of the precincts but also very much in the public eye. It was a physical hypothesis of the University's mantra - "for the real world" statement: Studio GameOn is an opportunity running alongside the GAME ON exhibition at the State Library of Queensland. The exhibition itself is open to the public from November 17th through to February 15th. The studio runs from January 5th to February 13th 2009. The Studio GameOn challenge? To put together a team of game developers and make a playable game in six weeks! The studio-game on team consists of a group of game developers in training - the team members are all students who are either half-way through or completing a qualification in game design and all its elements - we have designers, artists, programmers and productionteam members. We are also fortunate to have an Industry Board consisting of local Queensland Games professionals: John Passfield (Red Sprite Studios), Adrian Cook (WIldfire Studios) and Duncan Curtis and Marko Grgic (The 3 Blokes). We also invite the public to play with us - there is an ideas box both on-site at the State Library and a number of ways to communicate with us on this studio website.

The little grey cat engine

The little grey cat engine (greyCat) is part of a series of projects which explore software which can enable access to the potentially empowering nature of represented space and game design. GreyCat is the result of research into the culture of the software itself in order to provide participatory environments which enable the telling of ‘small stories’ – stories and experiences which are those of the everyday or those of a cultural perspective other than that prioritised by most world building softwares or game engines. GreyCat offers a simple framework which allows participants to use their own image materials (photographs for the most part) as a basis for spatial exploration of their own places.---------- Truna aka j.turner (2008) The little grey cat engine: telling small stories (Demo), Australasian Computer Human Interaction Conference, OZCHI 2008, December 8th-12th, Cairns, Australia---------- Research Publications: truna aka j.turner & Browning, D. (2009) Designing spatial story telling software, in proceedings OZCHI09, Melbourne---------- Truna aka j.turner, Browning, D. & Champion, E. (2008) Designing for Engaged Experience, In proceedings Australasian Computer Human Interaction Conference, OZCHI 2008, December 8th-12th, Cairns, Australia---------- Truna aka. J.turner & Bidwell, N. (2007) Through the looking glass: game worlds as representations and views from elsewhere, Proceedings of the 4th Australasian conference on Interactive entertainment, Melbourne, Australia---------- Truna aka j.turner, Browning, D & Bidwell, N. (2007) Wanderer beyond game worlds, in proceedings, Hutchinson, A (ed) PerthDAC 2007: The seventh International Digital Arts and Culture Conference: The future of digital media culture, 15-18 September 2007, Perth, Australia, Curtin University of Technology---------- Truna aka j.turner (2006) To explore strange new worlds: experience design in 3 dimensional immersive environments - role and place in a world as object of interaction, In proceedings, Australasian Computer Human Interaction Conference, OZCHI 2006, November 22nd-24th, Sydney, Australia, November 20th – 24th 2006, pp 26- 29---------- Truna aka j.turner (2006) Digital songlines environment (Demonstration), In proceedings 2006 International conference on Game research and development, Perth, Australia---------- Truna aka j.turner (2006) Destination Space: Experiential Spatiality and Stories, Special Session on Experiential Spatiality, In proceedings 2006 International conference on Game research and development, Perth, Australia

Investigation of mechanisms governing emission of odorants

The literature identifies several models that describe inter-phase mass transfer, key to the emission process. While the emission process is complex and these models may be more or less successful at predicting mass transfer rates, they identify three key variables for a system involving a liquid and an air phase in contact with it: • A concentration (or partial pressure) gradient driving force; • The fluid dynamic characteristics within the liquid and air phases, and • The chemical properties of the individual components within the system. In three applied research projects conducted prior to this study, samples collected with two well-known sampling devices resulted in very different odour emission rates. It was not possible to adequately explain the differences observed. It appeared likely, however, that the sample collection device might have artefact effects on the emission of odorants, i.e. the sampling device appeared to have altered the mass transfer process. This raised the obvious question: Where two different emission rates are reported for a single source (differing only in the selection of sampling device), and a credible explanation for the difference in emission rate cannot be provided, which emission rate is correct? This research project aimed to identify the factors that determine odour emission rates, the impact that the characteristics of a sampling device may exert on the key mass transfer variables, and ultimately, the impact of the sampling device on the emission rate itself. To meet these objectives, a series of targeted reviews, and laboratory and field investigations, were conducted. Two widely-used, representative devices were chosen to investigate the influence of various parameters on the emission process. These investigations provided insight into the odour emission process generally, and the influence of the sampling device specifically.

A genealogy of the problematic of homelessness and the homeless in Australia

The homeless have been subject to considerable scrutiny, historically and within current social, political and public discourse. The aetiology of homelessness has been the focus of a large body of economic, sociological, historical and political investigation. Importantly, efforts to conceptualise, explain and measure, the phenomenon of homelessness and homeless people has occurred largely within the context of defining “the problem of the homeless” and the generation of solutions to the ‘problem’. There has been little consideration of how and why homelessness has come to be seen, or understood, as a problem, or how this can change across time and/or place. This alternative stream of research has focused on tracing and analysing the relationship between how people experiencing homeless have become a matter of government concern and the manner in which homelessness itself has been problematised. With this in mind this study has analysed the discourses - political, social and economic rationalities and knowledges - which have provided the conditions of possibility for the identification of the homeless and homelessness as a problem needing to be governed and the means for translating these discourses into the applied domain. The aim of this thesis has been to contribute to current knowledge by developing a genealogy of the conditions and rationalities that have underpinned the problematisation of homelessness and the homeless. The outcome of this analysis has been to open up the opportunity to consider alternative governmental possibilities arising from the exposure of the way in which contemporary problematisation and responses have been influenced by the past. An understanding of this process creates an ability to appreciate the intended and unintended consequences for the future direction of public policy and contemporary research.

Resistance : re-imagining innovation in higher education teaching and learning

The call to innovate is ubiquitous across the Australian educational policy context. The claims of innovative practices and environments that occur frequently in university mission statements, strategic plans and marketing literature suggest that this exhortation to innovate appears to have been taken up enthusiastically by the university sector. Throughout the history of universities, a range of reported deficiencies of higher education have worked to produce a notion of crisis. At present, it would seem that innovation is positioned as the solution to the notion of crisis. This thesis is an inquiry into how the insistence on innovation works to both enable and constrain teaching and learning practices in Australian universities. Alongside the interplay between innovation and crisis is the link between resistance and innovation, a link which remains largely unproblematized in the scholarly literature. This thesis works to locate and unsettle understandings of a relationship between innovation and Australian higher education. The aim of this inquiry is to generate new understandings of what counts as innovation within this context and how innovation is enacted. The thesis draws on a number of postmodernist theorists, whose works have informed firstly the research method, and then the analysis and findings. Firstly, there is an assumption that power is capillary and works through discourse to enact power relations which shape certain truths (Foucault, 1990). Secondly, this research scrutinised language practices which frame the capacity for individuals to act, alongside the language practices which encourage an individual to adopt certain attitudes and actions as one’s own (Foucault, 1988). Thirdly, innovation talk is read in this thesis as an example of needs talk, that is, as a medium through which what is considered domestic, political or economic is made and contested (Fraser, 1989). Fourthly, relationships between and within discourses were identified and analysed beyond cause and effect descriptions, and more productively considered to be in a constant state of becoming (Deleuze, 1987). Finally, the use of ironic research methods assisted in producing alternate configurations of innovation talk which are useful and new (Rorty, 1989). The theoretical assumptions which underpin this thesis inform a document analysis methodology, used to examine how certain texts work to shape the ways in which innovation is constructed. The data consisted of three Federal higher education funding policies selected on the rationale that these documents, as opposed to state or locally based policy and legislation, represent the only shared policy context for all Australian universities. The analysis first provided a modernist reading of the three documents, and this was followed by postmodernist readings of these same policy documents. The modernist reading worked to locate and describe the current truths about innovation. The historical context in which the policy was produced as well as the textual features of the document itself were important to this reading. In the first modernist reading, the binaries involved in producing proper and improper notions of innovation were described and analysed. In the process of the modernist analysis and the subsequent location of binary organisation, a number of conceptual collisions were identified, and these sites of struggle were revisited, through the application of a postmodernist reading. By applying the theories of Rorty (1989) and Fraser (1989) it became possible to not treat these sites as contradictory and requiring resolution, but rather as spaces in which binary tensions are necessary and productive. This postmodernist reading constructed new spaces for refusing and resisting dominant discourses of innovation which value only certain kinds of teaching and learning practices. By exploring a number of ironic language practices found within the policies, this thesis proposes an alternative way of thinking about what counts as innovation and how it happens. The new readings of innovation made possible through the work of this thesis were in response to a suite of enduring, inter-related questions – what counts as innovation?, who or what supports innovation?, how does innovation occur?, and who are the innovators?. The truths presented in response to these questions were treated as the language practices which constitute a dominant discourse of innovation talk. The collisions that occur within these truths were the contested sites which were of most interest for the analysis. The thesis concludes by presenting a theoretical blueprint which works to shift the boundaries of what counts as innovation and how it happens in a manner which is productive, inclusive and powerful. This blueprint forms the foundation upon which a number of recommendations are made for both my own professional practice and broader contexts. In keeping with the conceptual tone of this study, these recommendations are a suite of new questions which focus attention on the boundaries of innovation talk as an attempt to re-configure what is valued about teaching and learning at university.

Trace, a novel and exegesis

Trace concerns writing-walking and walking-writing. The multiple voices of both novel and exegesis assemble a rhizomic map of a walk and create a never-entirely-certain wandering look upon a woman walking, rather than a single cocksure gaze. Trace explores the aesthetics of Western walking literature and the various nostalgias inherent in that tradition. Trace wonders how lost a character can become on a walk and whether a walk is itself a kind of becoming. In the undefined liminal space where the urban bleeds into the rural, Trace challenges the singular perspective of the dominating gaze with a wandering look, which aims to make an original contribution to both the walk in literature and to exegetical form.

Micro-family-owned business : transitory survival mechanism or long term wealth creator?

Principal Topic: Entrepreneurship is key to employment, innovation and growth (Acs & Mueller, 2008), and as such, has been the subject of tremendous research in both the economic and management literatures since Solow (1957), Schumpeter (1934, 1943), and Penrose (1959). The presence of entrepreneurs in the economy is a key factor in the success or failure of countries to grow (Audretsch and Thurik, 2001; Dejardin, 2001). Further studies focus on the conditions of existence of entrepreneurship, influential factors invoked are historical, cultural, social, institutional, or purely economic (North, 1997; Thurik 1996 & 1999). Of particular interest, beyond the reasons behind the existence of entrepreneurship, are entrepreneurial survival and good ''performance'' factors. Using cross-country firm data analysis, La Porta & Schleifer (2008) confirm that informal micro-businesses provide on average half of all economic activity in developing countries. They find that these are utterly unproductive compared to formal firms, and conclude that the informal sector serves as a social security net ''keep[ing] millions of people alive, but disappearing over time'' (abstract). Robison (1986), Hill (1996, 1997) posit that the Indonesian government under Suharto always pointed to the lack of indigenous entrepreneurship , thereby motivating the nationalisation of all industries. Furthermore, the same literature also points to the fact that small businesses were mostly left out of development programmes because they were supposed less productive and having less productivity potential than larger ones. Vial (2008) challenges this view and shows that small firms represent about 70% of firms, 12% of total output, but contribute to 25% of total factor productivity growth on average over the period 1975-94 in the industrial sector (Table 10, p.316). ---------- Methodology/Key Propositions: A review of the empirical literature points at several under-researched questions. Firstly, we assess whether there is, evidence of small family-business entrepreneurship in Indonesia. Secondly, we examine and present the characteristics of these enterprises, along with the size of the sector, and its dynamics. Thirdly, we study whether these enterprises underperform compared to the larger scale industrial sector, as it is suggested in the literature. We reconsider performance measurements for micro-family owned businesses. We suggest that, beside productivity measures, performance could be appraised by both the survival probability of the firm, and by the amount of household assets formation. We compare micro-family-owned and larger industrial firms' survival probabilities after the 1997 crisis, their capital productivity, then compare household assets of families involved in business with those who do not. Finally, we examine human and social capital as moderators of enterprises' performance. In particular, we assess whether a higher level of education and community participation have an effect on the likelihood of running a family business, and whether it has an impact on households' assets level. We use the IFLS database compiled and published by RAND Corporation. The data is a rich community, households, and individuals panel dataset in four waves: 1993, 1997, 2000, 2007. We now focus on the waves 1997 and 2000 in order to investigate entrepreneurship behaviours in turbulent times, i.e. the 1997 Asian crisis. We use aggregate individual data, and focus on households data in order to study micro-family-owned businesses. IFLS data covers roughly 7,600 households in 1997 and over 10,000 households in 2000, with about 95% of 1997 households re-interviewed in 2000. Households were interviewed in 13 of the 27 provinces as defined before 2001. Those 13 provinces were targeted because accounting for 83% of the population. A full description of the data is provided in Frankenberg and Thomas (2000), and Strauss et alii (2004). We deflate all monetary values in Rupiah with the World Development Indicators Consumer Price Index base 100 in 2000. ---------- Results and Implications: We find that in Indonesia, entrepreneurship is widespread and two thirds of households hold one or several family businesses. In rural areas, in 2000, 75% of households run one or several businesses. The proportion of households holding both a farm and a non farm business is higher in rural areas, underlining the reliance of rural households on self-employment, especially after the crisis. Those businesses come in various sizes from very small to larger ones. The median business production value represents less than the annual national minimum wage. Figures show that at least 75% of farm businesses produce less than the annual minimum wage, with non farm businesses being more numerous to produce the minimum wage. However, this is only one part of the story, as production is not the only ''output'' or effect of the business. We show that the survival rate of those businesses ranks between 70 and 82% after the 1997 crisis, which contrasts with the 67% survival rate for the formal industrial sector (Ter Wengel & Rodriguez, 2006). Micro Family Owned Businesses might be relatively small in terms of production, they also provide stability in times of crisis. For those businesses that provide business assets figures, we show that capital productivity is fairly high, with rates that are ten times higher for non farm businesses. Results show that households running a business have larger family assets, and households are better off in urban areas. We run a panel logit model in order to test the effect of human and social capital on the existence of businesses among households. We find that non farm businesses are more likely to appear in households with higher human and social capital situated in urban areas. Farm businesses are more likely to appear in lower human capital and rural contexts, while still being supported by community participation. The estimation of our panel data model confirm that households are more likely to have higher family assets if situated in urban area, the higher the education level, the larger the assets, and running a business increase the likelihood of having larger assets. This is especially true for non farm businesses that have a clearly larger and more significant effect on assets than farm businesses. Finally, social capital in the form of community participation also has a positive effect on assets. Those results confirm the existence of a strong entrepreneurship culture among Indonesian households. Investigating survival rates also shows that those businesses are quite stable, even in the face of a violent crisis such as the 1997 one, and as a result, can provide a safety net. Finally, considering household assets - the returns of business to the household, rather than profit or productivity - the returns of business to itself, shows that households running a business are better off. While we demonstrate that uman and social capital are key to business existence, survival and performance, those results open avenues for further research regarding the factors that could hamper growth of those businesses in terms of output and employment.

The impact of spin on Australian real estate journalism : a Queensland study

Regardless of ‘bear’ or ‘bull’ markets, the great Australian dream remains to own your own home. Central to this dream of home ownership is unflagging interest in the property market, reflected in bulging real estate news sections of newspapers in South East Queensland, the focus area for this thesis research. While there has been much scholarly research into other areas of public relations spin and its impact on news-gathering processes, there appears to be next to no research on real estate spin, how it is prepared and by whom, and journalism’s attitude to and the managing of the spin. Real estate spin remains an under-researched topic requiring further investigation not only in South East Queensland but Australia-wide given the ‘big bucks’ allotted to the promotion of real estate and the income it generates for news media outlets, particularly newspapers. This thesis examines the influence of public relations practitioners and journalists specialising in real estate spin through interviews, content analysis, and how real estate spin envelopes itself in today’s society. From content analyses and observations of journalism in the real estate rounds of the two major newspapers in South East Queensland, I found that journalists were using massive quantities of real estate spin supplied by PR practitioners and other associated industry sources. This spin is supplanting investigative newsroom journalism, thus allowing newspapers to operate with minimal staffing levels yet still able to publish large weekly real estate news sections. My research also revealed growing commercialisation of real estate news through increasing outsourcing of journalistic work to a writing bureau, which could jeopardise both the professions of journalism and public relations in the future.

Five minutes at Nowanup

Five Minutes featured in the author's exhibition Lightsite, which toured Western Australian galleries from February 2006 to November 2007. It is a five-minute-long exposure photographic image captured inside a purpose-built, room-sized pinhole camera which is demountable and does not have a floor. Five Minutes depicts an inverted image of the outside environment where two botanists stand. The light from this exterior passes though the pinhole camera's aperture and illuminates the internal scene which includes the ground of the site which lies inside the room along with another two botanists standing inside. The image evokes the connectively the botanists have with this landscape, a site which they are presently revegetating with endemic and indigenous plant species. By illuminating the botanists only with light projected from the landscape itself (through the agency of the pinhole camera's aperture) the inhabitant and their landscape are depicted as inseparable subjects.

Self landcape - Hotspot

Self Landscape is an introductory image of the author's exhibition Lightsite, which toured Western Australian galleries from February 2006 to November 2007. It is a five-minute-long exposure photographic image captured inside a purpose-built, room-sized pinhole camera which is demountable and does not have a floor. Self Landscape depicts an inverted image of the outside environment - a revegetated farmland in the Great Southern Region of Western Australia. The light from the exterior landscape passes though the pinhole camera's aperture and illuminates the internal scene which includes that part of the landscape upon which the floorless room is erected, along with the author who is standing inside. The text "Hotspot" appears where the author has scribed that word with a torch during the long exposure. The image evokes the temporality of light. Here, light itself is portrayed as the primary medium through which we both perceive and describe landscape. It is through the agency of light that we construct our connectivity to landscape.

Devising a scenographic approach in Jonzi D's Hip Hop theatre

Jonzi D, one of the leading Hip Hop voices in the UK, creates contemporary theatrical works that merge dance, street art, original scored music and contemporary rap poetry, to create theatrical events that expand a thriving sense of a Hip Hop nation with citizens in the UK, throughout southern Africa and the rest of the world. In recent years Hip Hop has evolved as a performance genre in and of itself that not only borrows from other forms but vitally now contributes back to the body of contemporary practice in the performing arts. As part of this work Jonzi’s company Jonzi D Productions is committed to creating and touring original Hip Hop theatre that promotes the continuing development and awareness of a nation with its own language, culture and currency that exists without borders. Through the deployment of a universal voice from the local streets of Johannesburg and the East End of London, Jonzi D creates a form of highly energized performance that elevates Hip Hop as great democratiser between the highly developed global and under resourced local in the world. It is the staging of this democratised and technologised future (and present), that poses the greatest challenge for the scenographer working with Jonzi and his company, and the associated deprogramming and translation of the artists particular filmic vision to the stage, that this discussion will explore. This paper interrogates not only how a scenographic strategy can support the existence of this work but also how the scenographer as outsider can enter and influence this nation.