Theory and its role in mathematics education

The increased recognition of the theory in mathematics education is evident in numerous handbooks, journal articles, and other publications. For example, Silver and Herbst (2007) examined ―Theory in Mathematics Education Scholarship‖ in the Second Handbook of Research on Mathematics Teaching and Learning (Lester, 2007) while Cobb (2007) addressed ―Putting Philosophy to Work: Coping with Multiple Theoretical Perspectives‖ in the same handbook. And a central component of both the first and second editions of the Handbook of International Research in Mathematics Education (English, 2002; 2008) was ―advances in theory development.‖ Needless to say, the comprehensive second edition of the Handbook of Educational Psychology (Alexander & Winne, 2006) abounds with analyses of theoretical developments across a variety of disciplines and contexts. Numerous definitions of ―theory‖ appear in the literature (e.g., see Silver & Herbst, in Lester, 2007). It is not our intention to provide a ―one-size-fits-all‖ definition of theory per se as applied to our discipline; rather we consider multiple perspectives on theory and its many roles in improving the teaching and learning of mathematics in varied contexts.

Multidisciplinary students on Property core units : comparative analysis of introductory and advanced units

The composition of many professional services firms in the Urban Development area has moved away from a discipline specific ‘silo’ structure to a more multidisciplinary environment. The benefits of multidisciplinarity have been seen in industry by providing synergies across many of the related disciplines. Similarly, the Queensland University of Technology, Bachelor of Urban Development degree has sought to broaden the knowledge base of students and achieve a greater level of synergy between related urban development disciplines through the introduction of generic and multidisciplinary units. This study aims to evaluate the effectiveness of delivering core property units in a multidisciplinary context. A comparative analysis has been undertaken between core property units and more generic units offered in a multidisciplinary context from introductory, intermediate and advanced years within the property program. This analysis was based on data collected from course performance surveys, student performance results, a student focus group and was informed by a reflective process from the student perspective and lecturer/ tutor feedback. The study showed that there are many benefits associated with multidisciplinary unit offerings across the QUT Urban Development program particularly in the more generic units. However, these units require a greater degree of management. It is more difficult to organise, teach and coordinate multidisciplinary student cohorts due to a difference in prior knowledge and experience between each of the discipline groups. In addition, the interaction between lecturers/ tutors and the students frequently becomes more limited. A perception exists within the student body that this more limited face to face contact with academic staff is not valuable which may be exacerbated by the quality of complimentary online teaching materials. For many academics, non-attendance at lectures was coupled with an increase in email communication. From the limited data collected during the study there appears to be no clear correlation between large multidisciplinary student classes and student academic performance or satisfaction.

A brief philosophical examination of ADHD

Concerns have been raised over ADHD from within a range of different disciplines, concerns which are not only voiced from within the hard sciences themselves, but also from within the social sciences. This paper will add the discipline of philosophy to that number, arguing that an analysis of two traditionally philosophical topics - namely "truth" and "free-will" - allows us a new and unsettling perspective on conduct disorders like ADHD. More specifically, it will be argued that ADHD not only fails to meet its own ontological and epistemological standards as an 'objective' pathology, but it also constitutes one more element in what has already become a significant undermining of a crucial component of social life: moral responsibility.

Choreographing research : supervising the dancing thesis

The dancing doctorate is an interrogative endeavour which can but nurture the art form and forge a beneficial dynamism between those who seek and those who assess the emerging knowledges of dance’. (Vincs, 2009) From 2006-2008 three dance academics from Perth, Brisbane and Melbourne undertook a research project entitled Dancing between Diversity and Consistency: Refining Assessment in Postgraduate Degrees in Dance, funded by the ALTC Priority Projects Program. Although assessment rather than supervision was the primary focus of this research, interviews with 40 examiner/supervisors, 7 research deans and 32 candidates across Australia and across the creative arts, primarily in dance, provide an insight into what might be considered best practice in preparing students for higher research degrees, and the challenges that embodied and experiential knowledges present for supervision. The study also gained the industry perspectives of dance professionals in a series of national forums in 5 cities, based around the value of higher degrees in dance. The qualitative data gathered from these two primary sources was coded and analysed using the NVivo system. Further perspectives were drawn from international consultant and dance researcher Susan Melrose, as well as recent publications in the field. Dance is a young addition to academia and consequently there tends to be a close liaison between the academy and the industry, with a relational fluidity that is both beneficial and problematic. This partially explains why dance research higher degrees are predominantly practice-led (or multi-modal, referring to those theses where practice comprises the substantial examinable component). As a physical, embodied art form, dance engages with the contested territory of legitimising alternative forms of knowledge that do not sit comfortably with accepted norms of research. In supporting research students engaged with dance practice, supervisors traverse the tricky terrain of balancing university academic requirements with studies that are emergent, not only in the practice and attendant theory but in their methodologies and open-ended outcomes; and in an art form in which originality and new knowledge also arises from collaborative creative processes. Formal supervisor accreditation through training is now mandatory in most Australian universities, but it tends to be generic and not address supervisory specificity. This paper offers the kind of alternative proposed by Edwards (2002) that improving postgraduate supervision will be effective if supervisors are empowered to generate their own standards and share best practice; in this case, in ways appropriate to the needs of their discipline and alternative modes of thesis presentation. In order to frame the qualities and processes conducive to this goal, this paper will draw on both the experiences of interviewees and on philosophical premises which underpin the research findings of our study. These include the ongoing challenge of dissolving the binary oppositions of theory and practice, especially in creative arts practice where theory resides in and emerges from the doing as much as in articulating reflection about the doing through what Melrose (2003) terms ‘mixed mode disciplinary practices’. In guiding practitioners through research higher degrees, how do supervisors deal with not only different forms of knowledge but indeed differing modes of knowledge? How can they navigate tensions that occur between the ‘incompatible competencies’ (Candlin, 2000) of the ‘spectating’ academic experts with their ‘irrepressible drive ... to inscribe, interpret, and hence to practise temporal closure’, and practitioner experts who create emergent works of ‘residual unfinishedness’ (Melrose 2006) which are not only embodied but ephemeral, as in the case of live performance?

What is the relationship between social governance and schooling?

The most frequently told story charting the rise of mass schooling should be fairly familiar to most of us. This story normally centres around the post-enlightenment social changes of the late 18th and early 19th centuries, and details how society slowly became more caring and more humane, and how we all decided that rather than simply being fodder for the mills, all children – including those from the working-classes - had the right to an education. The more civilised we became, the more we pushed back the school leaving age, until we eventually developed schools which clearly reflected the values and ambitions of the wider community. After all, are school not simply microcosms of society at large? In addition to this, the form that modern schooling takes is regarded as an unproblematic part of the same story. Of course we should organise our learning in the way we do, with the emphasis on formalised learning spaces, graded curricula, timetables of activities, various forms of assessment, and a clear hierarchy of authority. These features of the contemporary education merely reflect the fact that this is self-evidently the best system available. After all, how else could education possibly be organised?

From the panopticon to the playground : disciplinary practices

It is easy to take many of the practices that constitute the contemporary school for granted. Timetables, academic records, rows of desks, playgrounds, guidance counsellors now all seem a natural and inevitable part of an optimal learning environment. However, the evidence suggests that they did not appear by chance. Instead, they were put in place, albeit often in a piecemeal and haphazard way, as part of the process by which a new type of institution was constructed. By understanding the school as a disciplinary society, constituted through a variety of diverse practices, it becomes possible to re-interpret the way we have come to educate ourselves. No longer is the modern school some kind of pedagogic inevitability—simply the best and most obvious way to educate, the end result of two thousand years of trying to finally get it right. Rather, mass schooling, as we know it, is an historical by-product of changes in the way society was organised. It is a contingent collection of particular forms of government, deployed at different historical moments, often for quite different administrative and educational reasons.

A news story as big as a doctoral thesis? : deploying journalistic methodology in academic research

The purpose of this paper is to identify and recommend the emergence of an academic research methodology for Journalism the academic discipline, through reviewing various journalistic methods of research – those making up a key element in such methodology. Its focus is on journalistic styles of work employed in academic contexts especially research on mass media issues. It proposes that channelling such activity into disciplined academic forms will enhance both: allowing the former to provide more durable and deeper outcomes, injecting additional energy and intensity of purpose into the latter. It will briefly consider characteristics of research methodologies and methods, generally; characteristics of the Journalism discipline, and its relationship with mass media industries and professions. The model of journalism used here is the Western liberal stream. A proposition is made, that teaching and research in universities focused on professional preparation of journalists, has developed so that it is a mature academic discipline. Its adherents are for the most part academics with background in journalistic practice, and so able to deploy intellectual skills of journalists, while also accredited with Higher Degrees principally in humanities. Research produced in this discipline area stands to show two characteristics: (a) it employs practices used generally in academic research, e.g. qualitative research methods such as ethnographic studies or participant observation, or review of documents including archived media products, and (b) within such contexts it may use more specifically journalistic techniques, e.g. interviewing styles, reflection on practice of journalism, and in creative practice research, journalistic forms of writing – highlighting journalistic / practitioner capabilities of the author. So the Journalism discipline, as a discipline closely allied to a working profession, is described as one where individual professional skills and background preparation for media work will be applicable to academic research. In this connection the core modus operandi will be the directly research-related practices of: insistent establishment of facts, adept crafting of reportage, and economising well with time. Prospective fields for continuing research are described:- work in new media; closer investigation of relations among media producers and audiences; journalism as creative practice, and general publishing by journalists, e.g. writing histories.

Identity, relationships and culture

The purpose of this paper is to consider contemporary developments in the knowledge area dealing with culture, relationships and individual identity. It has three main objectives: the first is to examme the ways in which knowledge is currently produced within the discipline; the second is to look at an alternative approach to the issues, an approach which stresses more piecemeal and contingent ways of understanding; finally, this paper looks at how this new theoretical knowledge is being applied, or can be applied, to areas which impact directly upon educational practices.

The refractive folio : exegesis and assessment in the open studio

Folio submission is universally regarded as the most appropriate means for measuring a student’s performance in the studio. However, developing meaningful and defensible assessment criteria is persistent challenge for all tertiary art educators. In discipline-based studios, the parameters provided by medium and technique provide useful points of reference for assessing creative performance. But how can student performance be evaluated when there is no discipline-based framework to act as a point of reference? The ‘open’ studio approach to undergraduate teaching presents these and other pedagogical challenges. This paper discusses the innovative approaches to studio-based teaching and assessment at QUT. Vital to the QUT open studio model is the studio rationale – an exegetical document that establishes an individualised theoretical framework through which a student’s understandings can be, in part, evaluated. This paper argues that the exegetical folio effectively reconciles the frequently divergent imperatives of creative, professional and academic skills, while retaining the centrality of the studio as a site for the production of new material, processual and conceptual understandings.

The studio sans frontières : the open-studio as an answer to the challenges of teaching contemporary art

Since at least the 1960s, art has assumed a breadth of form and medium as diverse as social reality itself. Where once it was marginal and transgressive for artists to work across a spectrum of media, today it is common practice. In this ‘post-medium’ age, fidelity to a specific branch of media is a matter of preference, rather than a code of practice policed by gallerists, curators and critics. Despite the openness of contemporary art practice, the teaching of art at most universities remains steadfastly discipline-based. Discipline-based art teaching, while offering the promise of focussed ‘mastery’ of a particular set of technical skills and theoretical concerns, does so at the expense of a deeper and more complex understanding of the possibilities of creative experimentation in the artist’s studio. By maintaining an hermetic approach to medium, it does not prepare students sufficiently for the reality of art making in the twenty-first century. In fact, by pretending that there is a select range of techniques fundamental to the artist’s trade, discipline-based teaching can often appear to be more engaged with the notion of skills preservation than purposeful art training. If art schools are to survive and prosper in an increasingly vocationally-oriented university environment, they need to fully synthesise the professional reality of contemporary art practice into their approach to teaching and learning. This paper discusses the way in which the ‘open’ studio approach to visual art study at QUT endeavours to incorporate the diversity and complexity of contemporary art while preserving the sense of collective purpose that discipline-based teaching fosters. By allowing students to independently develop their own art practices while also applying collaborative models of learning and assessment, the QUT studio program aims to equip students with a strong sense of self-reliance, a broad awareness and appreciation of contemporary art, and a deep understanding of studio-based experimentation unfettered by the boundaries of traditional media: all skills fundamental to the practice of contemporary art.

Australia : LIS education

The topic of library and information science (LIS) education has been under the spotlight in the professional literature in Australia and New Zealand for a number of years. Critical issues of discussion encompass the apparent lack of a core curriculum for the discipline, the perceived gulf between LIS education and LIS practice, and the pressing need for career-long learning and development. One of the central points of debate that emerges repeatedly is the long-standing question about the positioning of the profession: Is LIS a graduate profession of highly skilled individuals valued for their expertise and professionalism or is it a profession of anyone who works in a library, regardless of their qualifications (LIANZA, 2005)? While Australia and New Zealand do not stand alone in this debate – similar issues are echoed in many other countries – there are inevitably some local characteristics which warrant exploration. The discussion presented here highlights the historical background to professional training, the specific professional policies and standards that guide LIS education and some of the challenges facing professional and paraprofessional education, given the changing environment of education in Australia as a whole, with some comparisons made with the New Zealand situation. While all too often library practitioners point the finger at the library educators to ‘right the wrongs’, the authors wish to reinforce the idea that the future of effective and relevant LIS education is a matter for all stakeholders in the profession: practitioners and educators, students and staff, employers and employees, with cohesion potentially offered by the professional body.

Consonance in urban form : morphogenetic analysis of architectural elements within urban forms

"By understanding how places have evolved, we are better able to guide development and change in the urban fabric and avoid the incongruity created by so much of the modern environment" (MacCormac, R (1996), An anatomy of London, Built Environment, Dec 1996 This paper proposes a theory on the relevance of mapping the evolutionary aspects of historical urban form in order to develop a measure of evaluating architectural elements within urban forms, through to deriving parameters for new buildings. By adopting Conzen's identification of the tripartite division of urban form; the consonance inurban form of a particular palce resides in the elements and measurable values tha makeup the fine grain aggregates of urban form. The paper will demonstrate throughthe case study of Brisbane in Australia, a method of conveying these essential components that constitute a cities continuity of form and active usage. By presenting the past as a repository of urban form characteristics, it is argued that concise architectural responses that stem from such knowledge should result in an engaged urban landscape. The essential proposition is that urban morphology is a missing constituent in the process of urban design, and that the approach of the geographical discipline to the study of urban morphology holds the key to providing the evidence of urban growth characteristics, and this methodology suggests possibilities for an architectural approach that can comprehensively determine qualitative aspects of urban buildings. The relevance of this research lies in a potential to breach the limitations of current urban analysis whilst continuing the evolving currency of urban morphology as an integral practice in the design of our cities.

Members abroad - Australia : Paul Sanders

I have been an academic since joining the University of Natal in 1998 and, following a period as a visiting lecturer in Brisbane in 2001, I joined the staff at QUT on an ongoing basis in 2003. I was appointed as Architecture Co-ordinator in 2006, and this role involves the leadership of the architectur discipline of 17 full time academics. I am currently enrolled in a PhD course in the field of urban morphology. This research proposes a theory on the relevance of mapping the evolutionary aspects of historical urban form to develop a measure for evaluating architecural elements and deriving parameters for new buildings. My participation in a QUT design team contributed to a recent successful invited competition bid for an Urban Transit Centre in Hangzhou, China. The Centre will include retail, business, entertainment, residential and service components at the heart of the Binjiang district on the 11.5ha core area with 32ha surrounding urban design precinct. The project has received the approval to commence and is to be implemented over the next three years!

Managing Process Model Complexity - Part I: Concrete Syntax

While Business Process Management (BPM) is an established discipline, the increased adoption of BPM technology in recent years has introduced new challenges. One challenge concerns dealing with process model complexity in order to improve the understanding of a process model by stakeholders and process analysts. Features for dealing with this complexity can be classified in two categories: 1) those that are solely concerned with the appearance of the model, and 2) those that in essence change the structure of the model. In this paper we focus on the former category and present a collection of patterns that generalize and conceptualize various existing features. The paper concludes with a detailed analysis of the degree of support of a number of state-of-the-art languages and language implementations for these patterns.