Promoting interdisciplinarity through mathematical modelling

This article presents one approach to addressing the important issue of interdisciplinarity in the primary school mathematics curriculum, namely, through realistic mathematical modelling problems. Such problems draw upon other disciplines for their contexts and data. The article initially considers the nature of modelling with complex systems and discusses how such experiences differ from existing problem-solving activities in the primary mathematics curriculum. Principles for designing interdisciplinary modelling problems are then addressed, with reference to two mathematical modelling problems— one based in the scientific domain and the other in the literary domain. Examples of the models children have created in solving these problems follow. A reflection on the differences in the diversity and sophistication of these models raises issues regarding the design of interdisciplinary modelling problems. The article concludes with suggested opportunities for generating multidisciplinary projects within the regular mathematics curriculum.

"Theatre of the dancing language" : new possibilities in contemporary Australian playwrighting

This study focuses on trends in contemporary Australian playwrighting, discussing recent investigations into the playwrighting process. The study analyses the current state of this country’s playwrighting industry, with a particular focus on programming trends since 1998. It seeks to explore the implications of this current theatrical climate, in particular the types of work most commonly being favoured for production. It argues that Australian plays are under-represented (compared to non-Australian plays) on ‘mainstream’ stages and that audiences might benefit from more challenging modes of writing than the popular three-act realist play models. The thesis argues that ‘New Lyricism’ might fill this position of offering an innovative Australian playwrighting mode. New Lyricism is characterised by a set of common aesthetics, including a non-linear narrative structure, a poetic use of language and magic realism. Several Australian playwrights who have adopted this mode of writing are identified and their works examined. The author’s play Floodlands is presented as a case study and the author’s creative process is examined in light of the published critical discussions about experimental playwriting work.

Bearing-only SLAM : a vision-based navigation system for autonomous robots

To navigate successfully in a previously unexplored environment, a mobile robot must be able to estimate the spatial relationships of the objects of interest accurately. A Simultaneous Localization and Mapping (SLAM) sys- tem employs its sensors to build incrementally a map of its surroundings and to localize itself in the map simultaneously. The aim of this research project is to develop a SLAM system suitable for self propelled household lawnmowers. The proposed bearing-only SLAM system requires only an omnidirec- tional camera and some inexpensive landmarks. The main advantage of an omnidirectional camera is the panoramic view of all the landmarks in the scene. Placing landmarks in a lawn field to define the working domain is much easier and more flexible than installing the perimeter wire required by existing autonomous lawnmowers. The common approach of existing bearing-only SLAM methods relies on a motion model for predicting the robot’s pose and a sensor model for updating the pose. In the motion model, the error on the estimates of object positions is cumulated due mainly to the wheel slippage. Quantifying accu- rately the uncertainty of object positions is a fundamental requirement. In bearing-only SLAM, the Probability Density Function (PDF) of landmark position should be uniform along the observed bearing. Existing methods that approximate the PDF with a Gaussian estimation do not satisfy this uniformity requirement. This thesis introduces both geometric and proba- bilistic methods to address the above problems. The main novel contribu- tions of this thesis are: 1. A bearing-only SLAM method not requiring odometry. The proposed method relies solely on the sensor model (landmark bearings only) without relying on the motion model (odometry). The uncertainty of the estimated landmark positions depends on the vision error only, instead of the combination of both odometry and vision errors. 2. The transformation of the spatial uncertainty of objects. This thesis introduces a novel method for translating the spatial un- certainty of objects estimated from a moving frame attached to the robot into the global frame attached to the static landmarks in the environment. 3. The characterization of an improved PDF for representing landmark position in bearing-only SLAM. The proposed PDF is expressed in polar coordinates, and the marginal probability on range is constrained to be uniform. Compared to the PDF estimated from a mixture of Gaussians, the PDF developed here has far fewer parameters and can be easily adopted in a probabilistic framework, such as a particle filtering system. The main advantages of our proposed bearing-only SLAM system are its lower production cost and flexibility of use. The proposed system can be adopted in other domestic robots as well, such as vacuum cleaners or robotic toys when terrain is essentially 2D.

Using Media Technologies in English

English has long been the subject where print text has reigned supreme. Increasingly in our networked and electronically connected world, however, we can be using digital technologies to create and respond to texts studied in English classrooms. The current approach to English includes the concept of ‘multiliteracies,’ which suggests that print texts alone are necessary but not sufficient’ (E.Q, 2000) and that literacy includes the flexible and sustainable mastery of a repertoire of practices. This also includes the decoding and deployment of media technologies (E.Q, 2000). This has become more possible in Australia as secondary students have increasing access to computers and online platforms at home and at school. With the advent of web 2.0., with its interactive platforms and free media making software, teachers and students can use this software to access information and emerging online literature in English covering a range of text types and new forms for authentic audiences and contexts. This chapter is concerned with responding to literary and mediated texts through the use of technologies. If we remain open to trying out new textual forms and see our digital ‘native students’ (Prensky, 2007) as our best resource, we can move beyond technophobia, become digital travellers’ ourselves and embrace new digital forms in our classrooms.

Between flagged borders, across gendered lands : the voiceless female space in contemporary representations of Australian beach

International and national representations of the beach perpetuate normative female concepts by maintaining dominant masculine myths, such as that of the heroic lifesaver and tanned sunbaker. Female experiences on the beach are traditionally associated with rhetorics of danger and peril, contrasted to the welcomed and protective gaze of the beach male. Conventional understandings of the gaze promote male surveillance of women, and although some resistance exists, the beach primarily remains a place to observe the female form. This article attempts to explore currents of resistance at the beach through a self-reflexive examination of Schoolies. Although the event is fixed within patriarchal codes and structures, small eddies of resistance exist amongst female participants in light of increasing awareness of masculine hegemony. The Australian beach remains a contested site of multiple constructs of gender and national identity. This article reveals the changing tides of resistance.

The new lows : representing Asian-Australians on television

This project utilises creative practice as research, and involves writing and discussing four sample episodes of a proposed six-part dramatic, black-comedy1 television mini-series titled The New Lows. Combined, the creative project and accompanying exegesis seeks to illuminate and interrogate some of the inherent concerns, pitfalls and politics encountered in writing original Asian-Australian characters for television. Moreover, this thesis seeks to develop and deliberate on characters that would expand, shift and extend concepts of stereotyping and authenticity as they are used in creative writing for television. The protagonists of The New Lows are the contemporary and dysfunctional Asian-Australian Lo family: the Hong Kong immigrants John and Dorothy, and their Australian-born children Wendy, Simon and Tommy. Collectively, they struggle to manage the family business: a decaying suburban Chinese restaurant called Sunny Days, which is stumbling towards imminent commercial death. At the same time, each of the characters must negotiate their own personal catastrophes, which they hide from fellow family members out of shame and fear. Although there is a narrative arc to the series, I have also endeavoured to write each episode as a selfcontained story. Written alongside the creative works is an exegetical component. Through the paradigm of Asian-Australian studies, the exegesis examines the writing process and narrative content of The New Lows, alongside previous representations of Asians on Australian and international television and screen. Concepts discussed include stereotype, ethnicity, otherness, hybridity and authenticity. However, the exegesis also seeks to question the dominant cultural paradigms through which these issues are predominantly discussed. These investigations are particularly relevant, since The New Lows draws upon a suite of characters commonly considered to be stereotypical in Asian-Australian representations.

Robot navigation in sensor space

This thesis investigates the problem of robot navigation using only landmark bearings. The proposed system allows a robot to move to a ground target location specified by the sensor values observed at this ground target posi- tion. The control actions are computed based on the difference between the current landmark bearings and the target landmark bearings. No Cartesian coordinates with respect to the ground are computed by the control system. The robot navigates using solely information from the bearing sensor space. Most existing robot navigation systems require a ground frame (2D Cartesian coordinate system) in order to navigate from a ground point A to a ground point B. The commonly used sensors such as laser range scanner, sonar, infrared, and vision do not directly provide the 2D ground coordi- nates of the robot. The existing systems use the sensor measurements to localise the robot with respect to a map, a set of 2D coordinates of the objects of interest. It is more natural to navigate between the points in the sensor space corresponding to A and B without requiring the Cartesian map and the localisation process. Research on animals has revealed how insects are able to exploit very limited computational and memory resources to successfully navigate to a desired destination without computing Cartesian positions. For example, a honeybee balances the left and right optical flows to navigate in a nar- row corridor. Unlike many other ants, Cataglyphis bicolor does not secrete pheromone trails in order to find its way home but instead uses the sun as a compass to keep track of its home direction vector. The home vector can be inaccurate, so the ant also uses landmark recognition. More precisely, it takes snapshots and compass headings of some landmarks. To return home, the ant tries to line up the landmarks exactly as they were before it started wandering. This thesis introduces a navigation method based on reflex actions in sensor space. The sensor vector is made of the bearings of some landmarks, and the reflex action is a gradient descent with respect to the distance in sensor space between the current sensor vector and the target sensor vec- tor. Our theoretical analysis shows that except for some fully characterized pathological cases, any point is reachable from any other point by reflex action in the bearing sensor space provided the environment contains three landmarks and is free of obstacles. The trajectories of a robot using reflex navigation, like other image- based visual control strategies, do not correspond necessarily to the shortest paths on the ground, because the sensor error is minimized, not the moving distance on the ground. However, we show that the use of a sequence of waypoints in sensor space can address this problem. In order to identify relevant waypoints, we train a Self Organising Map (SOM) from a set of observations uniformly distributed with respect to the ground. This SOM provides a sense of location to the robot, and allows a form of path planning in sensor space. The navigation proposed system is analysed theoretically, and evaluated both in simulation and with experiments on a real robot.

Science and subjectivity

Science has been under attack in the last thirty years, and recently a number of prominent scientists have been busy fighting back. Here, an argument is presented that the `science wars' stem from an unreasonably strict adherence to the reductive method on the part of science, but that weakening this stance need not imply a lapse into subjectivity. One possible method for formalising the description of non-separable, contextually dependent complex systems is presented. This is based upon a quantum-like approach.

Girl in the Shadows and resilience and coping strategies in contemporary young adult fiction

The novel manuscript Girl in the Shadows tells the story of two teenage girls whose friendship, safety and sanity are pushed to the limits when an unexplained phenomenon invades their lives. Sixteen-year-old Tash has everything a teenage girl could want: good looks, brains and freedom from her busy parents. But when she looks into her mirror, a stranger’s face stares back at her. Her best friend Mal believes it’s an evil spirit and enters the world of the supernatural to find answers. But spell books and ouija boards cannot fix a problem that comes from deep within the soul. It will take a journey to the edge of madness for Tash to face the truth inside her heart and see the evil that lurks in her home. And Mal’s love and courage to pull her back into life. The exegesis examines resilience and coping strategies in adolescence, in particular, the relationship of trauma to brain development in children and teenagers. It draws on recent discoveries in neuroscience and psychology to provide a framework to examine the role of coping strategies in building resilience. Within this broader context, it analyses two works of contemporary young adult fiction, Freaky Green Eyes by Joyce Carol Oates and Sonya Hartnett’s Surrender, their use of the split persona as a coping mechanism within young adult fiction and the potential of young adult literature as a tool to help build resilience in teen readers.

'When everything old is new again' : class, consumerism and masculinity in Alasdair Duncan's Metro

Alasdair Duncan’s narrative Metro, set in Brisbane in the early twenty-first century, focuses on Liam, an unapologetically self-styled ‘white, upper middle-class brat’ whose sense of place and identity is firmly mapped by spatial and economic co-ordinates. This article considers the linkages between spatiality and identity in Duncan’s narrative, as well as the ways in which traditional, hegemonic (heterosexual) forms of masculinity are re-invigorated in the enactment of an upper-middle-class script of success, privilege and consumerism. It argues that the safeguarding of these hegemonic forms of masculine identity involves strategies of spatial and bodily expression underpinned by conspicuous consumption, relegating other forms of sexual identity to an exploitable periphery

The Dystopian Mirror and the Female Body

Women’s experience of the change room mirror is not a particularly affirmative one. The pleasure in looking at the self is dissipated by the ideal feminine ‘I’ that hovers in the shadows of their image of self and others constructing dystopian surveillance and entrapment. This article considers the responses of a number of women bloggers who describe their negative experiences in front of change room mirrors. It also argues that the mirror has been used in positive and creative ways by women artists to assert a self that is not subject to a critical gaze.

"And one fine morning" : Gatsby, Obama, and the resurection of hope

Hope is a word that has re-emerged in light of Obama's stunning win in the United States election. In this time of economic gloom and the reality of bleak recession and unprecedented job losses the United States has embraced the hopeful message of Barack Obama. For many years 'hope' has been a word that has been lost, forgotten , and banished to the margins of romantic longing and wishful thinking. Hope is also a word that has been much discussed in relation to the iconic The Great Gatsby but usually in a negative fashion to demonstrate the unattainability of the American dream. Marcella Taylor called Gatsby "the unfinished American Epic" which focused on the "passing of the last utopian frontier" and suggested the significance of this passing on American society as a whole. In the last months, however, hope has made a return and one gets the feeling that Fitzgerald's words "but that's no matter-to-morrow we will run faster, stretch out our arms farther . . . And one fine morning' are once again being heard.

Finding hy-Brazil : eugenics and modernism in the Pacific

In the 1930s a number of Australian women writers took issue with material and symbolic aspects of public health discourse and in particular challenged institutional endorsement of eugenicist movements. This paper discusses the response of inter-war women writers to the national discussion of science and medicine and, in particular, eugenics.