A survey in mathematics for industry: Two-timing and matched asymptotic expansions for singular perturbation problems

Following the derivation of amplitude equations through a new two-time-scale method [O'Malley, R. E., Jr. & Kirkinis, E (2010) A combined renormalization group-multiple scale method for singularly perturbed problems. Stud. Appl. Math. 124, 383-410], we show that a multi-scale method may often be preferable for solving singularly perturbed problems than the method of matched asymptotic expansions. We illustrate this approach with 10 singularly perturbed ordinary and partial differential equations. © 2011 Cambridge University Press.

Performance government : activating and regulating the self-governing capacities of teachers and school leaders

This article analyses ‘performance government’ as an emergent form of rule in advanced liberal democracies. It discloses how teachers and school leaders in Australia are being governed by the practices of performance government which centre on the recently established Australian Institute for Teaching and School Leadership (AITSL) and are given direction by two major strategies implicit within the exercise of this form of power: activation and regulation. Through an ‘analytics of government’ of these practices, the article unravels the new configurations of corporatized expert and academic knowledge—and their attendant methods of application—by which the self-governing capacities of teachers and school leaders are being activated and regulated in ways that seek to optimize the performance of these professionals. The article concludes by outlining some of the dangers of performance government for the professional freedom of educators and school leaders.

The impact of employment-level characteristics on work-life interference in school aged children

Work–life interference is important for school-aged workers because it influences their educational outcomes/career aspirations. Although research highlights the role of work hours in determining work–life interference for these workers, work/job-level characteristics have received limited attention. Using survey data from Queensland school students who work part-time, we assess the influence of a range of employment-level variables on work–life interference. The results of multiple regression analysis indicate work–life interference is exacerbated by having low trust in managers and limited scope to refuse work hours and stability in work hours, emphasising the importance of organisational variables in integrating work and non-work spheres for school-aged workers.

School libraries, teacher-librarians and student outcomes : presenting and using the evidence

Evidence is required to ensure the future viability of school libraries and teacher-librarians. Education policy makers and school principals need detailed, reliable evidence to support informed decision-making about school library resourcing and staffing. Teacher-librarians need evidence to guide their professional practice and demonstrate their contribution to student learning outcomes. This review, which arises from recent Australian research (Hughes, 2013), collates international and Australian research about the impacts of school libraries and teacher librarians. It strengthens the evidence base, and recommends how this evidence can be best used to advance school libraries and teacher-librarians and enhance student learning.

Absent interiors

Anuradha Mathur and Dilip da Cunha theorise in their work on cities and flooding that it is not the floodwaters that threaten lives and homes, the real cause of danger in natural disaster is the fixity of modern civilisation. Their work traces the fluidity of the boundaries between 'dry' and 'wet' land challenging the deficiencies of traditional cartography in representing the extents of bodies of water. Mathur and da Cunha propose a process of unthinking to address the redevelopment of communities in the aftermath of natural disaster. By documenting the path of floodwaters in non-Euclidean space they propose a more appropriate response to flooding. This research focuses on the documentation of flooding in the interior of dwellings, which is an extreme condition of damage by external conditions in an environment designed to protect from these very elements. Because the floodwaters don't discriminate between the interior and the exterior, they move between structures with disregard for the systems of space we have in place. With the rapid clean up that follows flood damage, little material evidence is left for post mortem examination. This is especially the case for the flood damaged interior, piles of materials susceptible to the elements, furniture, joinery and personal objects line curbsides awaiting disposal. There is a missed opportunity in examining the interior in the after math of flood, in the way that Mathur and Dilip investigate floods and the design of cities, the flooded interior proffers an undersigned interior to study. In the absence of intact flood damaged interior, this research relies on two artists' documentation of the flooded interior. The first case study is the mimetic scenographic interiors of a flood-damaged office exhibited in the Bangkok art gallery by the group _Proxy in 2011. The second case study is Robert Polidori's photographic exhibition in New Orleans, described by Julianna Preston as, 'a series of interiors undetected by satellite imaging or storm radar. More telling, more dramatic, more unnerving, more alarming, they force a disturbance of what is familiar'.

A comparison of techniques for the reconstruction of leaf surfaces from scanned data

The foliage of a plant performs vital functions. As such, leaf models are required to be developed for modelling the plant architecture from a set of scattered data captured using a scanning device. The leaf model can be used for purely visual purposes or as part of a further model, such as a fluid movement model or biological process. For these reasons, an accurate mathematical representation of the surface and boundary is required. This paper compares three approaches for fitting a continuously differentiable surface through a set of scanned data points from a leaf surface, with a technique already used for reconstructing leaf surfaces. The techniques which will be considered are discrete smoothing D2-splines [R. Arcangeli, M. C. Lopez de Silanes, and J. J. Torrens, Multidimensional Minimising Splines, Springer, 2004.], the thin plate spline finite element smoother [S. Roberts, M. Hegland, and I. Altas, Approximation of a Thin Plate Spline Smoother using Continuous Piecewise Polynomial Functions, SIAM, 1 (2003), pp. 208--234] and the radial basis function Clough-Tocher method [M. Oqielat, I. Turner, and J. Belward, A hybrid Clough-Tocher method for surface fitting with application to leaf data., Appl. Math. Modelling, 33 (2009), pp. 2582-2595]. Numerical results show that discrete smoothing D2-splines produce reconstructed leaf surfaces which better represent the original physical leaf.

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.

School based youth health nurses and attrition : the reasons for moving on

Like the UK, Australia has a number of school nursing models and programmes. The School Based Youth Health Nurse Program (SBYHNP) is a new and unique model of school nursing in Queensland, Australia. The SBYHNP represents a philosophical and structural shift from traditional school nursing programmes. The purpose of this qualitative case study is to explore the reasons School Based Youth Health Nurses (SBYHN) leave school nursing. Sixteen in-depth interviews were conducted with participants who practiced as SBYHN and left the SBYHNP. This case study reveals six themes: The politics’: Navigating the organisational divide, 'Unconditional positive regard’: Surviving without team cohesion, 'Absolutely exhausted’: Maintaining physical and emotional strength, ‘Definitely geographical’: Managing the tyranny of time and distance, ‘If things fell into place’: Thinking about what could have been, and ‘A stepping stone’: Moving on to the next nursing position. This case study suggests nurses considering school nursing as a specialty should seek opportunity to understand this complex role, ensure realistic expectations and ndertake relevant qualifications. This approach may secure the investment made by nurses and schools and create demand for a highly sort after position.

Injury prevention among friends : the benefits of school connectedness

Unsafe road behaviors, violence and alcohol use, are primary contributors to adolescent injury. Research suggests that adolescents look out for their friends and engage in protective behavior to reduce others' risk-taking and that school connectedness is associated with reduced injury-risks. This study examined the role of school connectedness in willingness to protect and prevent friends from involvement in alcohol use, fights and unlicensed driving. Surveys were completed at two time points, six months apart, by 545 13-14 year olds from seven Australian high schools. Females were significantly more likely than males to report willingness to protect their friends. School connectedness significantly and positively predicted willingness to protect across all three injury-risk behaviors, after accounting for sex and own involvement in injury-risk behaviors. School connectedness may therefore be an important factor to target in school-based prevention programs, both to reduce adolescents' own injury-risk behavior and to increase injury prevention among friends.

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.

Investigating the school experiences of girls whose parents are separated or divorced : implications for practice

The study investigated the school experiences of girls whose parents are separated or divorced. The case study, conducted in a metropolitan, all-girls Catholic school in Brisbane, drew upon theoretical understandings from childhood studies and children's rights to reveal the school experiences of participants, from their own perspectives. Findings showed that students express emotions about their families while at school, are active agents in their own learning, and seek teachers' understanding of their situation, while respecting their family's privacy. The research points to the need for strengths-based, resilience-building strategies in schools, for an inclusive culture of respect for family diversity, and for understanding of students' transitions between households and family types.

The influence of families on early adolescent school connectedness : evidence that this association varies with adolescent involvement in peer drinking networks

School connectedness is central to the long term well-being of adolescents, and high quality parent-child relationships facilitate school connectedness. This study examined the extent to which family relationship quality is associated with the school connectedness of pre- and early teenagers, and how this association varies with adolescent involvement in peer drinking networks. The sample consisted of 7,372 10-14 year olds recruited from 231 schools in 30 Australian communities. Participants completed the Communities that Care youth survey. A multi-level model of school connectedness was used, with a random term for school-level variation. Key independent variables included family relationship quality, peer drinking networks, and school grade. Control variables included child gender, sensation seeking, depression, child alcohol use, parent education, and language spoken at home. For grade 6 students, the association of family relationship quality and school connectedness was lower when peer drinking networks were present, and this effect was nonsignificant for older (grade 8) students. Post hoc analyses indicated that the effect for family relationship quality on school connectedness was nonsignificant when adolescents in grade 6 reported that the majority of friends consumed alcohol. The results point to the importance of familyschool partnerships in early intervention and prevention.