Diophantine equations as a context for technology-enhanced training in conjecturing and proving

Solving indeterminate algebraic equations in integers is a classic topic in the mathematics curricula across grades. At the undergraduate level, the study of solutions of non-linear equations of this kind can be motivated by the use of technology. This article shows how the unity of geometric contextualization and spreadsheet-based amplification of this topic can provide a discovery experience for prospective secondary teachers and information technology students. Such experience can be extended to include a transition from a computationally driven conjecturing to a formal proof based on a number of simple yet useful techniques.

The extended context of career : families negotiating education and career decisions

In families, decisions about parents’ and children’s education and career require an ongoing negotiation to reconcile the goals of all family members. This paper describes a project which investigates these decisions within families experiencing whole family relocation based on one adult’s work. Semi-structured interviews were conducted with professional workers with school-aged children living in six Australian rural and remote communities. The interview sample included four doctors, 10 teachers, four nurses and nine police. This qualitative phase informed the development of an online survey of a larger sample (n¼278) of the same professional groups, which constituted a second quantitative phase of the research. This paper reports on only one aspect of the survey, that is, the participants’ recording of two previous career location moves they had undertaken and the reasons for these. The data emphasise the family project evident in this decision-making process as the respondents deal with a large range of complex individual, family and broader systems’ influences in reconciling their own careers and their children’s educational opportunities.

Diversity or perversity?: Award-winning children's literature and the Australian curriculum

Two of the three cross-curriculum priorities for the national Australian Curriculum prescribed by the Australian Curriculum Assessment and Reporting Authority (ACARA) are focussed on what might be called diversity education: “Aboriginal and Torres Strait Islander histories and culture”, and "Asia and Australia's Engagement with Asia” (ACARA, “Cross”). One need not be versed in complex rhetorical theory to understand that, laudable and legitimate as such priorities are, their existence implies that mainstream education in Australia has been or is characterised by the marginalisation or erasure of Australia's history—the original Indigenous cultures are not only living and vibrant today, but also have tens of thousands of years’ “head start” on Australia’s settler cultures—and of its geography—Australia is, after all, located in some physical proximity to Asia. Some might even suggest that Australia is in Asia. These temporal and spatial “forgettings” constitute a kind of cultural perversity which the cross-curricular priorities both seek to address and serve to reinscribe. Even as ACARA requires Australian school students to engage with Aboriginal and Asian histories, cultures, societies, they imply that such histories, cultures, and societies are “diverse”, that they are not those of the students in Australian classrooms; producing them as objects of study rather than as lived experience. This should not necessarily be surprising. Michael W. Apple has provocatively argued that: “one of the perverse effects of a national curriculum actually will be to ‘legitimise inequality.’ It may in fact help create the illusion that whatever the massive differences in schools, they all have something in common” (18). In the Australian context, attempts to mitigate such perversity are articulated via the selection of literary texts. As educators move to resource ACARA’s cross-curricular priorities, ACARA notes that “Teachers and schools are best placed to make decisions about the selection of texts in their teaching and learning programs that address the content in the Australian Curriculum while also meeting the needs of the students in their classes” (ACARA, “Advice”). This assertion appears on a webpage called “Advice on selection of literary texts” which is notable first and foremost for its total lack of any literary texts being named, and its list of weblinks pointing to lists of texts compiled elsewhere, by other organisations, and in the main, compiled to serve agendas other than the Australian curriculum. One of the major resources referred to by ACARA for literary text selection is the Children’s Book Council of Australia (CBCA). Of course, the CBCA’s annual book awards do not share ACARA’s educational priorities, but do have a history of being drawn upon by schools as a curriculum resource. In this paper, I consider the literary texts which have been prized by the CBCA in recent years attending to their engagements with Aboriginal cultures.

Semantic context and visual feature effects in object naming : an fMRI study using arterial spin labeling

Previous behavioral studies reported a robust effect of increased naming latencies when objects to be named were blocked within semantic category, compared to items blocked between category. This semantic context effect has been attributed to various mechanisms including inhibition or excitation of lexico-semantic representations and incremental learning of associations between semantic features and names, and is hypothesized to increase demands on verbal self-monitoring during speech production. Objects within categories also share many visual structural features, introducing a potential confound when interpreting the level at which the context effect might occur. Consistent with previous findings, we report a significant increase in response latencies when naming categorically related objects within blocks, an effect associated with increased perfusion fMRI signal bilaterally in the hippocampus and in the left middle to posterior superior temporal cortex. No perfusion changes were observed in the middle section of the left middle temporal cortex, a region associated with retrieval of lexical-semantic information in previous object naming studies. Although a manipulation of visual feature similarity did not influence naming latencies, we observed perfusion increases in the perirhinal cortex for naming objects with similar visual features that interacted with the semantic context in which objects were named. These results provide support for the view that the semantic context effect in object naming occurs due to an incremental learning mechanism, and involves increased demands on verbal self-monitoring.

Food safety : maximising impact by understanding the food business context

In Australia there are 5.4 million cases of food-borne illness annually which costs the community $1.2 billion per annum (Department of Health and Ageing 2006). As a co-regulator in food safety, local government has a significant interest in ensuring adherence to good food safety practices. This research project involved focus groups or interviews with food business operators and young food handlers to explore their food safety understanding, attitudes, practices and the organisational culture in which they participated. By its nature qualitative research is not intended to provide definitive generalizable findings. Rather the advantage of a small sample size qualitative study is to provide depth rather than breadth. Thus the findings here provide insight into the complexities and nuances of food safety regulation in a manner which a large scale quantitative study could not.

Safer driving agreements in the Australian context : can they be effective?

Prior research suggests that greater parental involvement in the safety and learning of their young novice driver can have a positive impact on their child’s safety. Safer driving agreements, which typically involve a formal statement of driving conditions and restrictions ratified by a driver and another party, most often parents, are an increasingly common initiative to enhance young novice driver safety. However, there are few formal evaluations of such initiatives and the limited available research suggests only modest differences in traffic violations, and minimal impacts on crash involvement. The current paper reports on an assessment of the potential efficacy of safer driving agreements in the Australian context, via a literature review and extensive stakeholder and community consultations. Specifically, discussions were conducted with an expert panel of United States researchers and program developers; a survey was completed with Australian police, transport and motoring stakeholders; and focus groups and surveys were completed with young drivers and parents. Overall, results suggested mixed understanding of, and support for, safer driving agreements in Australia, with issues relating to voluntary participation and accurate monitoring of behaviour cited as major barriers. Indeed, the potential effectiveness of the initiative was largely perceived as being limited to those young drivers who are already safety conscious, and as being dependent on existing strong relationships with parents (e.g., trust, honesty and respect). Implications of the study and recommendations for future research are discussed.

Optimism : what it is and its relevance in the school context

"For myself, I am an optimist - it does not seem to be much use to be anything else". Winston Churchill Optimism has its modern roots in philosophy dating back to the 17th century in the writings of philosophers such as Descartes and Voltaire (Domino & Conway, 2001). Previous to these philosophical writings, the concept of optimism was revealed in the teaching of many of the great spiritual traditions such as Buddhism and Christianity (Miller, Richards, & Keller, 2001). In the 20th century, optimism became defined in juxtaposition to pessimism, sometimes conceptualized as a bipolar unidimensional construct and by others as two related but separate constructs (Garber, 2000). Contemporary models (Scheier & Carver, 1985; Seligman, 1991) have increasingly focused on distinguishing optimism-pessimism as a general dispositional orientation, as described by expectancy theory, and as an explanatory process, described by explanatory style theory.

What parents value from formal support services in the context of identified child abuse

Parents whose children are identified as having experienced or being at risk of experiencing significant harm potentially provide an invaluable dimension to our understanding of the circumstances that result in child abuse or neglect and how best to respond to these invariably complex situations. This paper reports findings from a study of the experiences of six parents. In-depth interviews were conducted with four mothers and two fathers who had been referred to an intensive family support services by the Queensland statutory child protection authority. Using a critical ecological perspective, the study focused on identifying and understanding the experiences of the parents in using formal family support services, including aspects of service delivery that were helpful or unhelpful. Parents also commented on their experiences of statutory child protection services. Service components and worker qualities that parents identified as being helpful included being accessible, targeted and integrated and being able to meet a continuum of needs, from a micro to a broader level. Their reports provide invaluable insight into how formal family support services, including child protection services, can better meet the needs of parents in addressing the recurring problem of child maltreatment.

Augmenting and assisting model elicitation tasks with 3D virtual world context metadata

Accurate process model elicitation continues to be a time consuming task, requiring skill on the part of the interviewer to extract explicit and tacit process information from the interviewee. Many errors occur in this elicitation stage that would be avoided by better activity recall, more consistent specification methods and greater engagement in the elicitation process by interviewees. Theories of situated cognition indicate that interactive 3D representations of real work environments engage and prime the cognitive state of the viewer. In this paper, our major contribution is to augment a previous process elicitation methodology with virtual world context metadata, drawn from a 3D simulation of the workplace. We present a conceptual and formal approach for representing this contextual metadata, integrated into a process similarity measure that provides hints for the business analyst to use in later modelling steps. Finally, we conclude with examples from two use cases to illustrate the potential abilities of this approach.

Adoption of accountable-eHealth systems by future healthcare professionals: An empirical research model based on the Australian context

This paper provides a first look at the acceptance of Accountable-eHealth systems, a new genre of eHealth systems, designed to manage information privacy concerns that hinder the proliferation of eHealth. The underlying concept of AeH systems is appropriate use of information through after-the-fact accountability for intentional misuse of information by healthcare professionals. An online questionnaire survey was utilised for data collection from three educational institutions in Queensland, Australia. A total of 23 hypothesis relating to 9 constructs were tested using a structural equation modelling technique. A total of 334 valid responses were received. The cohort consisted of medical, nursing and other health related students studying at various levels in both undergraduate and postgraduate courses. The hypothesis testing disproved 7 hypotheses. The empirical research model developed was capable of predicting 47.3% of healthcare professionals’ perceived intention to use AeH systems. A validation of the model with a wider survey cohort would be useful to confirm the current findings.

Online Gaming in Context : the Social and Cultural Significance of Online Games

There is little question of the social, cultural and economic importance of video games in the world today, with gaming now rivalling the movie and music sectors as a major leisure industry and pastime. The significance of video games within our everyday lives has certainly been increased and shaped by new technologies and gaming patterns, including the rise of home-based games consoles, advances in mobile telephone technology, the rise in more 'sociable' forms of gaming, and of course the advent of the Internet. This book explores the opportunities, challenges and patterns of gameplay and sociality afforded by the Internet and online gaming. Bringing together a series of original essays from both leading and emerging academics in the field of game studies, many of which employ new empirical work and innovative theoretical approaches to gaming, this book considers key issues crucial to our understanding of online gaming and associated social relations, including: patterns of play, legal and copyright issues, player production, identity construction, gamer communities, communication, patterns of social exclusion and inclusion around religion, gender and disability, and future directions in online gaming.

‘He has a way gayer Facebook than I do’ : investigating sexual identity disclosure and context collapse on a social networking site

This study extends previous research into social networking sites (SNSs) as environments that often reduce spatial, temporal, and social boundaries, which can result in collapsed contexts for social situations. Context collapse was investigated through interviews and Facebook walkthroughs with 27 LGBTQ young people in the United Kingdom. Since diverse sexualities are often stigmatized, participants’ sexual identity disclosure decisions were shaped by both the social conditions of their online networks and the technological architecture of SNSs. Context collapse was experienced as an event through which individuals intentionally redefined their sexual identity across audiences or managed unintentional disclosure. To prevent unintentional context collapse, participants frequently reinstated contexts through tailored performances and audience separation. These findings provide insight into stigmatized identity performances in networked publics while situating context collapse within a broader understanding of impression management, which paves the way for future research exploring the identity implications of everyday SNS use.

Evaluation of assessment in the context of work-based learning: Qualitative perspectives of new graduates

Aim Evaluation or assessment of competence is an important step to ensure the safety and efficacy of health professionals, including dietitians. Most competency-based assessment studies are focussed on valid and reliable methods of assessment for the preparation of entry-level dietitians, few papers have explored student dietitians’ perceptions of these evaluations. This study aimed to explore the perceptions of recent graduates from accredited nutrition and dietetics training programs in Australia. It also aimed to establish the relevance of competency-based assessment to adequately prepare them for entry-level work roles. Methods A purposive sample of newly-graduated dietitians with a range of assessment experiences and varied employment areas was recruited. A qualitative approach, using in-depth interviews with 13 graduates, with differing assessment experiences was undertaken. Graduates were asked to reflect upon their competency-based assessment experiences whilst a student. Data was thematically analysed by multiple authors. Results Four themes emerged from the data analysis: (i) Transparency and consistency are critical elements of work-based competency assessment. (ii) Students are willing to take greater responsibility in their assessment process. (iii) Work-based competency assessment prepares students for employment. (iv) The relationship between students and their assessors can impact on the student experience and their assessment performance. Conclusions Understanding this unique perspective of students can improve evaluation of future health professionals and assist in designing valid competency-based assessment approaches.

Unpacking director financial literacy : a Delphi study from Australia

The ‘Centro case’ confirmed that each individual director is responsible for financial governance and must be able to ‘read and understand’ financial statements. Despite the centrality of director financial literacy to directors duties, practitioner and academic literature have failed to clearly define or provide evidence-based reliable measures of director financial literacy. This paper seeks to address this weakness by presenting the initial results of a Delphi study on unpacking the conceptualisation of director financial literacy. We have found that director financial literacy involves more than reading and understanding financial statements. Rather, it encompasses capabilities in applying accounting concepts to the analysis and evaluation of financial statements. As such director financial literacy may be more accurately described as ‘director accounting literacy’.