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.

A 'deleterious' effect? : Australian legal education and the production of the legal identity

A body of critical legal scholarship argues that, by the time they have completed their studies, students who enter legal education holding social ideals and intending to use their legal education to achieve social change, have become cynical about the ability of the law to do so and no longer possess such ideals. This is explained by critical scholars to be the result of a process of ideological indoctrination, aimed at ensuring that graduates uphold the narrow and conservative interests of the legal profession and capitalist society, being exercised by law schools acting as adjuncts of the legal profession, and exercised upon the passive body of the law student. By using Foucault’s work on knowledge, power, and the subject to interrogate the assumptions upon which this narrative is based, this thesis intends to suggest a way of thinking differently to the approach taken by many critical legal scholars. It then uses an analytics of government (based on Foucault’s notion of ‘governmentality’) to consider the construction of the legal identity differently. It examines the ways in which the governance of the legal identity is rationalised, programmed, and implemented, in three Queensland law schools. It also looks at the way that five prescriptive texts to ‘surviving’ law school suggest students establish and practise a relation to themselves in order to construct their own legal identities. Overall, this analysis shows that governance is not simply conducted in the profession’s interests, but occurs due to a complex arrangement of different practices, which can lead to the construction of skilled legal professional identities as well as ethical lawyer-citizens that hold an interest in justice. The implications of such an analytics provide the basis for original ways of understanding legal education, and legal education scholarship.

Dancing the Thesis : Potentials and Pitfalls in Practice-led Research

Practice-led or multi modal theses (describing examinable outcomes of postgraduate study which comprise the practice of dancing/choreography with an accompanying exegesis) are an emerging strength of dance scholarship; a form of enquiry that has been gaining momentum for over a decade, particularly in Australia and the United Kingdom. It has been strongly argued that, in this form of research, legitimate claims to new knowledge are embodied predominantly within the practice itself (Pakes, 2003) and that these findings are emergent, contingent and often interstitial, contained within both the material form of the practice and in the symbolic languages surrounding the form. In a recent study on ‘dancing’ theses Phillips, Stock, Vincs (2009) found that there was general agreement from academics and artists that ‘there could be more flexibility in matching written language with conceptual thought expressed in practice’. The authors discuss how the seemingly intangible nature of danced / embodied research, reliant on what Melrose (2003) terms ‘performance mastery’ by the ‘expert practitioner’ (2006, Point 4) involving ‘expert’ intuition (2006, Point 5), might be accessed, articulated and validated in terms of alternative ways of knowing through exploring an ongoing dialogue in which the danced practice develops emergent theory. They also propose ways in which the danced thesis can be ‘converted’ into the required ‘durable’ artefact which the ephemerality of live performance denies, drawing on the work of Rye’s ‘multi-view’ digital record (2003) and Stapleton’s ‘multi-voiced audio visual document’(2006, 82). Building on a two-year research project (2007-2008) Dancing Between Diversity and Consistency: Refining Assessment in Postgraduate Degrees in Dance, which examined such issues in relation to assessment in an Australian context, the three researchers have further explored issues around interdisciplinarity, cultural differences and documentation through engaging with the following questions:  How do we represent research in which understandings, meanings and findings are situated within the body of the dancer/choreographer?  Do these need a form of ‘translating’ into textual form in order to be accessed as research?  What kind of language structures can be developed to effect this translation: metaphor, allusion, symbol?  How important is contextualising the creative practice?  How do we incorporate differing cultural inflections and practices into our reading and evaluation?  What kind of layered documentation can assist in producing a ‘durable’ research artefact from a non-reproduce-able live event?

Young Australians reading in a digital world

The realities of new technological and social conditions since the 1990s demand a new approach to literacy teaching. Looking onward from the original statement of aims of the multiliteracies movement in 1996, this volume brings together top-quality scholarship and research that has embraced the notion and features new contributions by many of the originators of this approach to literacy. Drawing on large research projects and empirical evidence, the authors explore practical and educational issues that relate to multiliteracies, such as assessment, pedagogy and curriculum. The viewpoint taken is that multiliteracies is a complementary socio-cultural approach to the new literacies that includes pedagogy and learning. The differences are addressed from a multiliteracies perspective – one that does not discount or undermine the new literacies, but shows new ways in which they are complementary. Computers and the Internet are transforming the way we work and communicate and the very notion of literacy itself. This volume offers frontline information and a vital update for those wishing to understand the evolution of multiliteracies and the current state of literacy theory in relation to it.

A novella of ideas : how interactive new media art can effectively communicate an indigenous philosophical concept

How interactive new media art can effectively communicate an indigenous philosophical concept. The sophistication and complexity of the philosophical concept concerning relationships between land and people and between people, intrinsic to the laws and customs of Australian Indigenous society, has begun to be communicated and accessed beyond the realm of anthropological and ethnological domains of Western scholarship. The exciting scope and rapid development of new media arts presents an innovative means of creating an interactive relationship with the general Australian public, addressing the urgent need for an understanding of Indigenous Australian concepts of relationship to land, and to each other, absent from Western narratives. The study is framed by an Indigenous concept of place, and relationships between land and people and between people; and explores how this concept can be clearly communicated through interactive new media arts. It involves: a creative project, the development of an interactive new media art project, a website work-in-progress titled site\sight\cite; and an exegesis, a Novella of Ideas, on the origins, influences, objectives, and potential of creative practices and processes engaged in the creative project. Research undertaken for the creative project and exegesis extended my creative practice into the use of interdisciplinary arts, expressly for the expression of philosophical concepts, consolidating 23 years experience in Indigenous community arts development. The creative project and exegesis contributes to an existing body of Indigenous work in a range of areas - including education, the arts and humanities - which bridges old and new society in Australia. In this study, old and new society is defined by the time of the initial production of art and foundations of knowledge, in the country of its origins, in Indigenous Australia dating back at least 40,000 years.

Will they know enough? Pre-service primary teachers' knowledge base for teaching intergrated social sciences

A significant issue in primary teacher education is developing a knowledge base which prepares teachers to teach in a range of subject areas. In Australia, the problem in primary social science education is compounded by the integrated nature of the key learning area of Studies of Society and Environment (SOSE). Recent debates on teaching integrated social sciences omit discussions on the knowledge base for teaching. In this paper, a case study approach is used to investigate primary pre-service teachers’ approaches to developing a knowledge base in designing a SOSE curriculum unit. Data from five teacher-educators who taught primary SOSE curriculum indicates that novice teachers’ subject content knowledge, as revealed through their curriculum planning, lacked a disciplinary basis. However, understanding of inquiry learning, which is fundamental to social science education, was much stronger. This paper identifies a gap in the scholarship on teaching integrated social science and illustrates the need to support and develop primary teachers’ disciplinary knowledge in teacher education.

"Has Gothic cake and eats it too : dreaming of Amelia" by Jaclyn Moriarty

Dreaming of Amelia (2009) recounts a small group of HSC students’ final year of high school. Told from multiple perspectives, the novel focuses on shifting senses of self, maturity, and agency as the protagonists move from adolescence to adulthood. The central conflict of the novel results from two ‘bad kids from the bad crowd at bad Brookfield High’ (blurb) transferring to wealthy private school, Ashbury; Amelia and Riley are scholarship students who do not fit with Ashbury’s profile of 'normal student' as it is understood by the school’s students or staff, and their presence in the school community forces many people to reassess their understanding of individual value (or, at least, that’s what the novel claims happens). In the shifting of perceptions, allegiances, and relationships, each of the main characters achieves a stronger sense of their identity, and Dreaming of Amelia is thus firmly located within the tradition of Young Adult (YA) literature, with all its stereotypes of adolescence.

Revisiting Industrial Relations

In 1999 I convened Industrial Relations, the annual ADSA Conference hosted by QUT in Brisbane. This event was promoted as ‘a conference exploring the links between theatre scholarship and professional theatre practice’. As well as academics, there was to be substantial representation by ‘industry professionals’, although interest from the latter category turned out to be modest. One day of the conference was designated a special ‘Links with Industry’ day, during which the Association launched its now defunct ADSAIL (ADSA Industry Links) initiative. Keynote speaker Wesley Enoch commented on ‘the very strong resistance in “the industry” to acknowledging any role of academics’. ‘What is the practical role of having them?’ he asked the ‘them’ gathered before him. In a letter declining our invitation to speak (he later changed his mind), David Williamson remarked that he always felt ‘uneasy at such conferences’: My view of my work is that I’ve successfully filled theatres for 30 years now, something dramatists are supposed to do. I suppose there’s part of me that hopes this will be celebrated. It often is, but rarely in academic drama departments …. Perhaps in fifty years time someone in academe will realise that I wasn’t just reinforcing the attitudes of the Anglo Celtic ruling class. Several years on it seems timely to revisit Industrial Relations; to look again at the extent to which problems of intercultural communication between industry and academy are being addressed. And what are the implications of this for the ADSA History project, which seeks to investigate ADSA’s contribution to the development of theatre / performance studies in Australasia? What are the ‘external’ impacts of ADSA’s ongoing conference enterprise, and how might these be measured? Reflections from delegates on these and other questions will be warmly encouraged.

Industrial Relations: Proceedings from the 1999 Australasian Drama Studies Association Conference

These papers were presented at “Industrial Relations”, the Australasian Drama Studies Association conference hosted by Theatre & Teaching Studies in the Academy of the Arts, Queensland University of Technology, from the 5th to the 9th of July, 1999. Conference delegates included scholars and artists from across the tertiary education and professional theatre sectors, including, of course, many individuals who work across and between both those worlds. More than a hundred delegates from Australia, New Zealand, England, Belgium and Canada attended the week’s events, which included: • Over sixty conference papers covering a variety of topics from project reports to academy/industry partnerships, theatre history, audience reception studies, health & safety, cultural policy, performance theory, theatre technology and more; • Performances ranging from drama to dance, music and cabaret; • Workshops, panel discussions, forums and interviews; • Keynote addresses from Wesley Enoch, Josette Feral and Keith Johnstone; and • A special “Links with Industry” day, which included the launch of ADSA’s “Links with Industry” brochure, an interview between Mark Radvan and David Williamson, and a panel session featuring Jules Holledge, Zane Trow, Katharine Brisbane, John Kotzas, Gay McAuley and David Watt.

MiLK. Mobile Learning Kit

The Mobile Learning Kit is a new digital learning application that allows students and teachers to compose, publish, discuss and evaluate their own mobile learning games and events. The research field was interaction design in the context of mobile learning. The research methodology was primarily design-based supported by collaboration between participating disciplines of game design, education and information technology. As such, the resulting MiLK application is a synthesis of current pedagogical models and experimental interaction design techniques and technologies. MiLK is a dynamic learning resource for incorporating both formal and informal teaching and learning practices while exploiting mobile phones and contemporary digital social tools in innovative ways. MiLK explicitly addresses other predominant themes in educational scholarship that relate to current education innovation and reform such as personalised learning, life-long learning and new learning spaces. The success of this project is indicated through rigorous trials and actual uptake of MiLK by international participants in Australia, UK, US and South Africa. MiLK was awarded for excellence in the use of emerging technologies for improved learning and teaching as a finalist (top 3) in the Handheld Learning and Innovation Awards in the UK in 2008. MiLK was awarded funding from the Australasian CRC for Interaction Design in 2008 to prepare the MiLK application for development. MiLK has been awarded over $230,000 from ACID since 2006. The resulting application and research materials are now being commercialised by a new company, ‘ACID Services’.

Psychometric evaluation of the Chinese version of the diabetes coping measure scale

Purpose: To evaluate the psychometric properties of a Chinese version of the Diabetes Coping Measure (DCM-C) scale.----- Methods: A self-administered questionnaire was completed by 205 people with type 2 diabetes from the endocrine outpatient departments of three hospitals in Taiwan. Confirmatory factor analysis, criterion validity, and internal consistency reliability were conducted to evaluate the psychometric properties of the DCM-C.----- Findings: Confirmatory factor analysis confirmed a four-factor structure (χ2 /df ratio=1.351, GFI=.904, CFI=.902, RMSEA=.041). The DCM-C was significantly associated with HbA1c and diabetes self-care behaviors. Internal consistency reliability of the total DCM-C scale was .74. Cronbach’s alpha coefficients for each subscale of the DCM-C ranged from .37 (tackling spirit) to .66 (diabetes integration).----- Conclusions: The DCM-C demonstrated satisfactory reliability and validity to determine the use of diabetes coping strategies. The tackling spirit dimension needs further refinement when applies this scale to Chinese populations with diabetes.----- Clinical Relevance: Healthcare providers who deal with Chinese people with diabetes can use the DCM-C to implement an early determination of diabetes coping strategies.

Beyond charity : outlines of a jurisprudence for civil society

There is not a single, coherent, jurisprudence for civil society organisations. Pressure for a clearly enuciated body of law applying to the whole of this sector of society continues to increase. The rise of third sector scholarship, the retreat of the welfare state, the rediscovery of the concept of civil society and pressures to strengthen social capital have all contributed to an ongoing stream of inquiry into the laws that regulate and favour civil society organisations. There have been almost thirty inquiries over the last sixty years into the doctrine of charitable purpose in common law countries. Those inquiries have established that problems with the law applying to civil society organisations are rooted in the common law adopting a ‘technical’ definition of charitable purpose and the failure of this body of law to develop in response to societal changes. Even though it is now well recognised that problems with law reform stem from problems inherent in the doctrine of charitable purpose, statutory reforms have merely ‘bolted on’ additions to the flawed ‘technical’ definition. In this way the scope of operation of the law has been incrementally expanded to include a larger number of civil society organisations. This piecemeal approach continues the exclusion of most civil society organisations from the law of charities discourse, and fails to address the underlying jurisprudential problems. Comprehensive reform requires revisiting the foundational problems embedded in the doctrine of charitable purpose, being informed by recent scholarship, and a paradigm shift that extends the doctrine to include all civil society organisations. Scholarly inquiry into civil society organisations, particularly from within the discipline of neoclassical economics, has elucidated insights that can inform legal theory development. This theory development requires decoupling the two distinct functions performed by the doctrine of charitable purpose which are: setting the scope of regulation, and determining entitlement to favours, such as tax exemption. If the two different functions of the doctrine are considered separately in the light of theoretical insights from other disciplines, the architecture for a jurisprudence emerges that facilitates regulation, but does not necessarily favour all civil society organisations. Informed by that broader discourse it is argued that when determining the scope of regulation, civil society organisations are identified by reference to charitable purposes that are not technically defined. These charitable purposes are in essence purposes which are: Altruistic, for public Benefit, pursued without Coercion. These charitable puposes differentiate civil society organisations from organisations in the three other sectors namely; Business, which is manifest in lack of altruism; Government, which is characterised by coercion; and Family, which is characterised by benefits being private not public. When determining entitlement to favour, it is theorised that it is the extent or nature of the public benefit evident in the pursuit of a charitable purpose that justifies entitlement to favour. Entitlement to favour based on the extent of public benefit is the theoretically simpler – the greater the public benefit the greater the justification for favour. To be entitled to favour based on the nature of a purpose being charitable the purpose must fall within one of three categories developed from the first three heads of Pemsel’s case (the landmark categorisation case on taxation favour). The three categories proposed are: Dealing with Disadvantage, Encouraging Edification; and Facilitating Freedom. In this alternative paradigm a recast doctrine of charitable purpose underpins a jurisprudence for civil society in a way similar to the way contract underpins the jurisprudence for the business sector, the way that freedom from arbitrary coercion underpins the jurisprudence of the government sector and the way that equity within families underpins succession and family law jurisprudence for the family sector. This alternative architecture for the common law, developed from the doctrine of charitable purpose but inclusive of all civil society purposes, is argued to cover the field of the law applying to civil society organisations and warrants its own third space as a body of law between public law and private law in jurisprudence.

Men's intimate partner abuse and control : reconciling paradoxical masculinities and social contradictions

Intimate partner abuse and control is one of the most common forms of violence against women, and is considered an international problem of social, political, legal and human rights significance. Yet few studies have attempted to understand this problem from the perspective of male perpetrators. This gap is addressed by conducting in-depth interviews with 16 able-bodied men of white European ancestry born and educated in New Zealand or Australia, who have been physically violent and/or emotionally, intellectually, sexually or financially controlling of a live-in female partner. This thesis extends and deepens the dominant ways of thinking about men’s intimate partner abuse by utilising a new theoretical framework compatible with contemporary feminist scholarship. A synthesis of Connell’s theory of masculinities and Bourdieu’s field theory is utilised for the purpose of exploring more nuanced, complex understandings of manliness and men’s relationships with men, women and social structures. Through such an analysis, this thesis finds that men’s perpetration of power and control over women is driven by a need to avoid the stigma of appearing weak. As a consequence, their desire and ability to show love, care and empathy is suppressed in favour of a presumed honourable manliness, and their female partners are used as weapons in the pursuit of symbolic capital in the form of recognition, prestige and acceptance from real and/or imagined men. This research also uncovers the complex interplay between masculine practices and particular social contexts. For example, the norms of practice encountered from those in authority, such as teachers, sports coaches, police, court judges and workplace management, influences the decision making of the men in this study, to use, or not to use, physical violence, psychological abuse and structural control. The principal conclusion is that there is a repertoire of paradoxical masculinities and contradictory social messages available to the men in this study. But gender policing by other men, complicit women and those in authority provides little room for legitimate complexity in masculine practices. Perpetrators in this study reconcile these conflicts of interest by generally avoiding subordinated masculinity and possible ostracism, and instead practicing more heroic hegemonic masculinities by abusing and controlling women and particular other men. This thesis concludes that for intimate partner abuse and control to cease, changes in power structures have to occur at all levels of society.

Difference and dispersion : educational research in a postmodern context

Difference and Dispersion is the fourth in a series of annual research papers produced by doctoral students from The Graduate School of Education, The University of Queensland, following their presentation at the School’s annual Postgraduate Research Conference in Education. The work featured herein celebrates the diversity of cultural and disciplinary backgrounds of education researchers who come from as far afield as Germany, Hong Kong, China, Nigeria, Russia, Singapore, Thailand and of course different parts of Australia. In keeping with a postmodern epistemology, ‘difference’ and ‘dispersion’ are key themes in apprehending the multiplicity of their research topics, methodologies, methods and speaking/writing positions. From widely differing contexts and situations, these writers address the consequences, implications and possibilities for education at the beginning of the third millennium. Their interest ranges from location-specific issues in schools and classrooms, change in learning contexts and processes, educational discourses and relations of power in diverse geographical settings, and the differing articulations of the local and the global in situated policy contexts. Conceived and developed in a spirit of ongoing dialogue with and insight to alternative views and visions of education and society, this edited collection exemplifies the quality in diversity and the high levels of scholarship and supervision at one of Australia’s finest Graduate Schools of Education.

A model for engaging and evaluating innovative cross-sectoral education reform : case studies from Queensland, Australia

This paper will explore how a general education can contribute successfully to vocational outcomes using both Participatory Action Research (PAR) and Program Theory methodology. The paper will focus on the development aspects of ‘marrying’ vocational and general education including engagement processes, student, teacher, institute and employer preparation and the pathway possibilities that emerge. Successful cases presented include the: Healthy Futures program (pathways into the Health and Allied industries); Accounting Pathways program (simultaneously studying a general Accounting subject and a Certificate III vocational qualification); and Sustainable Sciences initiative (development of a vocational qualification that focuses on the emerging renewable energy industry and is linked to school science programs). The case studies have been selected because they are unique in character and application and can be used as a basis for future program development in other settings or curriculum areas.