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.

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.

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.

Time, space, and text in the elementary school digital writing classroom

Theorists of multiliteracies, social semiotics, and the New Literacy Studies have drawn attention to the potential changing nature of writing and literacy in the context of networked communications. This article reports findings from a design-based research project in Year 4 classrooms (students aged 8.5-10 years) in a low socioeconomic status school. A new writing program taught students how to design multimodal and digital texts across a range of genres and text types, such as web pages, online comics, video documentaries, and blogs. The authors use Bernstein’s theory of the pedagogic device to theorize the pedagogic struggles and resolutions in remaking English through the specialization of time, space, and text. The changes created an ideological struggle as new writing practices were adapted from broader societal fields to meet the instructional and regulative discourses of a conventional writing curriculum.

‘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.

Australian boarding school supervisors : a voluntary position?

This paper aims to examine how Australian boarding supervisors (particularly non-teachers) are defined in regards to employment. The practices of Queensland’s School X (real name withheld) are used as an example of the difficult issues involved – although whether this case study is repeated elsewhere in the industry would take further research. The paper illustrates that the employment of boarding supervisors is dealt with at a basic level by a modern award, however its provisions do not represent what occurs in practice. If there is no enterprise bargain which improves upon the award, two possible explanations are put forward to explain the difference between award conditions and practice. The first is that the contract between boarding supervisors may not be one of employment. Relevant case law regarding whether a person is an employee or independent contractor is examined, and when applied to a typical boarding situation, it is concluded that any contract should be one of employment. The second explanation is that there is no legal contract at all between boarding supervisors and a school. Drawing on School X’s example where supervisors were classed as ‘volunteers’, the paper examines what the legal effect of that term might be. It could be seen to be a denial of an intention to create legal relations, a critical element in contract formation. Again, important cases are analysed on the topic of intention, and applied to a boarding context. It is argued that given the objective circumstances of a typical agreement, there is an intention to create legal relations. In particular, a little known Queensland case involving the non-employment status of boarding supervisors, which may be the cause of the confusion, is critically examined to determine its usefulness in answering the issue. Finally, the implications of not classifying boarding supervisors as employees are briefly discussed.

Troubling silences and taboo texts : constructing safer and more positive school climates for same-sex attracted high school students in Australia

This chapter offers three insights into the relationship between curriculum decision making, positive school climate, and academic achievement for same-sex attracted (SSA) students, highlighting the need for students to be offered more than heteronormative narratives and silence on issues of sexuality in the official school curriculum. The authors firstly provide a review of research and report on findings of a doctoral study (Mikulsky, 2007) explaining the impact of SSA students’ perceptions of school climate on their motivation and academic self-concept. Situating the work in the context of the Australian Curriculum for English and associated classroom texts, the dominant discourse of ‘straight, white female’ heroines as exemplified in the globally popular young adult novel The hunger games and other texts popular with Australian students are critiqued, with an argument made for expanding notions of what it means to ‘attend to’ gender and sexuality through textual choice and critical pedagogy. The authors show how texts that feature LGBTQ characters and storylines continue to be marginalized and constructed as taboo and demonstrate how curricular choices can and do impact academic outcomes for marginalized students. Issues of gender and sexuality are framed as a cross-curriculum imperative, with recommendations made for the explicit inclusion of materials exploring gender and sexuality in the official curriculum of all key learning areas.