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.

Disrupting the new orthodoxy : emergency intervention and Indigenous social policy

This article develops a critical analysis of the ideological framework that informed the Australian Federal government’s 2007 intervention into Northern Territory Indigenous communities (ostensibly to address the problem of child sexual abuse). Continued by recently elected Prime Minister, Kevin Rudd, the NT ‘emergency response’ has aroused considerable public debate and scholarly inquiry. In addressing what amounts to a broad bi-partisan approach to Indigenous issues we highlight the way in which Indigenous communities are problematised and therefore subject to interventionist regimes that override differentiated Indigenous voices and intensify an internalised sense of rage occasioned by disempowering interventionist projects. We further argue that in rushing through the emergency legislation and suspending parts of the Racial Discrimination Act, the Howard and Rudd governments have in various ways perpetuated racialised and neo-colonial forms of intervention that override the rights of Indigenous people. Such policy approaches require critical understanding on the part of professions involved most directly in community practice, particularly when it comes to mounting effective opposition campaigns. The article offers a contribution to this end.

Critical social theory and transformative learning : evidence in pre-service teachers' service-learning reflection logs

This paper reports on the opportunities for transformational learning experienced by a group of pre-service teachers who were engaged in service-learning as a pedagogical process with a focus on reflection. Critical social theory informed the design of the reflection process as it enabled a move away from knowledge transmission toward knowledge transformation. The structured reflection log was designed to illustrate the critical social theory expectations of quality learning that teach students to think critically: ideology critique and utopian critique. Butin's lenses and a reflection framework informed by the work of Bain, Ballantyne, Mills and Lester were used in the design of the service-learning reflection log. Reported data provide evidence of transformational learning and highlight how the students critique their world and imagine how they could contribute to a better world in their work as a beginning teacher.

How can entrepreneurial musicians use electronic social networks to diffuse their music

Principal Topic: ''In less than ten years music labels will not exist anymore.'' Michael Smelli, former Global COO Sony/BMG MCA/QUT IMP Business Lab Digital Music Think Thanks 9 May 2009, Brisbane Big music labels such as EMI, Sony BMG and UMG have been responsible for promoting and producing a myriad of stars in the music industry over the last decades. However, the industry structure is under enormous threat with the emergence of a new innovative era of digital music. Recent years have seen a dramatic shift in industry power with the emergence of Napster and other file sharing sites, iTunes and other online stores, iPod and the MP3 revolution. Myspace.com and other social networking sites are connecting entrepreneurial artists with fans and creating online music communities independent of music labels. In 2008 the digital music business internationally grew by around 25% to 3.7 Billion US-Dollar. Digital platforms now account for around 20% of recorded music sales, up from 15 % in 2007 (IFPI Digital music report 2009). CD sales have fallen by 40% since their peak levels. Global digital music sales totalled an estimated US$ 3 Billion in 2007, an increase of 40% on 2006 figures. Digital sales account for an estimated 15% of global market, up from 11% in 2006 and zero in 2003. The music industry is more advanced in terms of digital revenues than any other creative or entertainment industry (except games). Its digital share is more than twice that of newspapers (7%), films (35) or books (2%). All these shifts present new possibilities for music entrepreneurs to act entrepreneurially and promote their music independently of the major music labels. Diffusion of innovations has a long tradition in both sociology (e.g. Rogers 1962, 2003) and marketing (Bass 1969, Mahajan et al., 1990). The context of the current project is theoretically interesting in two respects. First, the role of online social networks replaces traditional face-to-face word of mouth communications. Second, as music is a hedonistic product, this strongly influences the nature of interpersonal communications and their diffusion patterns. Both of these have received very little attention in the diffusion literature to date, and no studies have investigated the influence of both simultaneously. This research project is concerned with the role of social networks in this new music industry landscape, and how this may be leveraged by musicians willing to act entrepreneurially. Our key research question we intend to address is: How do online social network communities impact the nature, pattern and speed that music diffuses? Methodology/Key Propositions : We expect the nature/ character of diffusion of popular, generic music genres to be different from specialized, niche music. To date, only Moe & Fader (2002) and Lee et al. (2003) investigated diffusion patterns of music and these focus on forecast weekly sales of music CDs based on the advance purchase orders before the launch, rather than taking a detailed look at diffusion patterns. Consequently, our first research questions are concerned with understanding the nature of online communications within the context of diffusion of music and artists. Hence, we have the following research questions: RQ1: What is the nature of fan-to-fan ''word of mouth'' online communications for music? Do these vary by type of artist and genre of music? RQ2: What is the nature of artist-to-fan online communications for music? Do these vary by type of artist and genre of music? What types of communication are effective? Two outcomes from research social network theory are particularly relevant to understanding how music might diffuse through social networks. Weak tie theory (Granovetter, 1973), argues that casual or infrequent contacts within a social network (or weak ties) act as a link to unique information which is not normally contained within an entrepreneurs inner circle (or strong tie) social network. A related argument, structural hole theory (Burt, 1992), posits that it is the absence of direct links (or structural holes) between members of a social network which offers similar informational benefits. Although these two theories argue for the information benefits of casual linkages, and diversity within a social network, others acknowledge that a balanced network which consists of a mix of strong ties, weak ties is perhaps more important overall (Uzzi, 1996). It is anticipated that the network structure of the fan base for different types of artists and genres of music will vary considerably. This leads to our third research question: RQ3: How does the network structure of online social network communities impact the pattern and speed that music diffuses? The current paper is best described as theory elaboration. It will report the first exploratory phase designed to develop and elaborate relevant theory (the second phase will be a quantitative study of network structure and diffusion). We intend to develop specific research propositions or hypotheses from the above research questions. To do so we will conduct three focus group discussions of independent musicians and three focus group discussions of fans active in online music communication on social network sites. We will also conduct five case studies of bands that have successfully built fan bases through social networking sites (e.g. myspace.com, facebook.com). The idea is to identify which communication channels they employ and the characteristics of the fan interactions for different genres of music. We intend to conduct interviews with each of the artists and analyse their online interaction with their fans. Results and Implications : At the current stage, we have just begun to conduct focus group discussions. An analysis of the themes from these focus groups will enable us to further refine our research questions into testable hypotheses. Ultimately, our research will provide a better understanding of how social networks promote the diffusion of music, and how this varies for different genres of music. Hence, some music entrepreneurs will be able to promote their music more effectively. The results may be further generalised to other industries where online peer-to-peer communication is common, such as other forms of entertainment and consumer technologies.

The 2008 Tibet riots : perspectives, divided group protests and divergent media narratives

Awareness of the power of the mass media to communicate images of protest to global audiences and, in so doing, to capture space in global media discourses is a central feature of the transnational protest movement. A number of protest movements have formed around opposition to concepts and practices that operate beyond national borders, such as neoliberal globalization or threats to the environment. However, transnational protests also involve more geographically discreet issues such as claims to national independence or greater religious or political freedom by groups within specific national contexts. Appealing to the international community for support is a familiar strategy for communities who feel that they are being discriminated against or ignored by a national government.

A formative evaluation of the Stronger Smarter Learning Communities Project. 2011 report.

This report is a formative evaluation of the operations of the DEEWR funded Stronger Smarter Learning Community (SSLC) project from September 2009 to July 2011. It is undertaken by an independent team of researchers from Queensland University of Technology, the University of Newcastle and Harvard University. It reports on findings from: documentary analysis; qualitative case studies of SSLC Hub schools; descriptive, multivariate and multilevel analysis of survey data from school leaders and teachers from SSLC Hub and Affiliate schools and from a control group of non-SSLC schools; and multilevel analysis of school-level data on SSLC Hubs, Affiliates and ACARA like-schools. Key findings from this work are that: • SSLC school leaders and teachers are reporting progress in changing school ethos around issues of: recognition of Indigenous identity, Indigenous leadership, innovative approaches to staffing and school models, Indigenous community engagement and high expectations leadership; • Many Stronger Smarter messages are reportedly having better uptake in schools with high percentages of Indigenous students; • There are no major or consistent patterns of differences between SSLC and non-SSLC schools in teacher and school leader self-reports of curriculum and pedagogy practices; and • There is no evidence to date that SSLC Hubs and Affiliates have increased attendance or increased achievement gains compared to ACARA like-schools. Twenty-one months is relatively early in this school reform project. Hence the major focus of subsequent reports will be on the documentation of comparative longitudinal gains in achievement tests and improved attendance. The 2011 and 2012 research also will model the relationships between change in school ethos/climate, changed Indigenous community relations, improved curriculum/pedagogy, and gains in Indigenous student achievement, attendance and outcomes. The key challenge for SSLC and the Stronger Smarter approach will be whether it can systematically generate change and reform in curriculum and pedagogy practices that can be empirically linked to improved student outcomes.

Exploring Indigenous social attitudes and priorities in Australia

Given significant government attention to, and expenditure on, Indigenous equity in Australia, this article addresses a core problem: the lack of a sound understanding of Indigenous social attitudes and priorities. An account of cultural theory raises the likelihood of difference in outlook between Indigenous and non-Indigenous people, including those making and implementing policy. Yet, years of scholarly research and official statistical collections have overlooked potentially critical aspects of Indigineity. Suggestions of difference emerge from reference to the 2007 Australian Survey of Social Attitudes (AuSSA). If the attitudes recorded a small sample in this instrument manifest in the Indigenous population at large, policy priorities and directions should be reviewed and possibly revised. Despite inherent methodological difficulties, the article calls for targeted social attitude research among Australia's Indigenous peoples so that future policy can be better oriented and calibrated. The national benefits would outweigh the costs via better directed policy making.

Professional development in the contemporary educational context : encouraging practice wisdom

Preparing social work students to be effective practitioners is a complex and challenging task undertaken in a dynamic environment both in terms of the field of social work and the higher education sector. There have been recommendations that self knowledge, empirical knowledge, theoretical knowledge and procedural knowledge are the keys to high standards of social work practice. This paper suggests that the concept of practice wisdom is a useful focus for integrating these different aspects of informed practice and for focusing educational programmes for social work. As practice wisdom is more about process than possessed characteristics then there are important motivational and value-based considerations in developing wise practitioners. This discussion considers motivational and personal narrative aspects of practice wisdom so that it can be integrated into social work teaching.

The post-illumination pupil response of melanopsin expressing intrinsically photosensitive retinal ganglion cells in diabetes

Purpose: This study investigates the clinical utility of the melanopsin expressing intrinsically photosensitive retinal ganglion cell (ipRGC) controlled post-illumination pupil response (PIPR) as a novel technique for documenting inner retinal function in patients with Type II diabetes without diabetic retinopathy. Methods: The post-illumination pupil response (PIPR) was measured in seven patients with Type II diabetes, normal retinal nerve fiber thickness and no diabetic retinopathy. A 488 nm and 610 nm, 7.15º diameter stimulus was presented in Maxwellian view to the right eye and the left consensual pupil light reflex was recorded. Results: The group data for the blue PIPR (488 nm) identified a trend of reduced ipRGC function in patients with diabetes with no retinopathy. The transient pupil constriction was lower on average in the diabetic group. The relationship between duration of diabetes and the blue PIPR amplitude was linear, suggesting that ipRGC function decreases with increasing diabetes duration. Conclusion: This is the first report to show that the ipRGC controlled post-illumination pupil response may have clinical applications as a non-invasive technique for determining progression of inner neuroretinal changes in patients with diabetes before they are ophthalmoscopically or anatomically evident. The lower transient pupil constriction amplitude indicates that outer retinal photoreceptor inputs to the pupil light reflex may also be affected in diabetes.

A Summative Evaluation of the Stronger Smarter Learning Communities Project : Vol 1 and Vol 2

This is a summative evaluation of the Stronger Smarter Learning Communities (SSLC) project that examines whether and how the SSLC project had an impact on Australian state schools which adopted its models and approaches. Drawing from qualitative and quantitative data sets, it also presents the largest scale and most comprehensive analysis of Indigenous education practices and outcomes to date. It includes empirical findings on: success in changing school ethos and community engagement; challenges in progress at closure of the 'gap' in conventionally measured achievement and performance; schools' and principals' choices in curriculum and instruction; profiles of teachers' and principals' training and views on teacher education; and a strong emphasis on community and school Indigenoous voices and views on Indigenous education.

Integrated genomic characterization of endometrial carcinoma

We performed an integrated genomic, transcriptomic and proteomic characterization of 373 endometrial carcinomas using array- and sequencing-based technologies. Uterine serous tumours and ∼25% of high-grade endometrioid tumours had extensive copy number alterations, few DNA methylation changes, low oestrogen receptor/progesterone receptor levels, and frequent TP53 mutations. Most endometrioid tumours had few copy number alterations or TP53 mutations, but frequent mutations in PTEN, CTNNB1, PIK3CA, ARID1A and KRAS and novel mutations in the SWI/SNF chromatin remodelling complex gene ARID5B. A subset of endometrioid tumours that we identified had a markedly increased transversion mutation frequency and newly identified hotspot mutations in POLE. Our results classified endometrial cancers into four categories: POLE ultramutated, microsatellite instability hypermutated, copy-number low, and copy-number high. Uterine serous carcinomas share genomic features with ovarian serous and basal-like breast carcinomas. We demonstrated that the genomic features of endometrial carcinomas permit a reclassification that may affect post-surgical adjuvant treatment for women with aggressive tumours.