Learning English in an English speaking world : examining opportunities for intercultural understandings and connectedness through representations of identities in English language textbooks

With the recognition that language both reflects and constructs culture and English now widely acknowledged as an international language, the cul-tural content of language teaching materials is now being problematised. Through a quantitative analysis, this chapter focuses on opportunities for intercultural understanding and connectedness through representations of the identities that appear in two leading English language textbooks. The analyses reveal that the textbooks orientate towards British and western identities with representations of people from non-European/non-Western backgrounds being notable for their absence, while others are hidden from view. Indeed there would appear to be a neocolonialist orientation in oper-ation in the textbooks, one that aligns English with the West. The chapter proposes arguments for the consideration of cultural diversity in English language teaching (ELT) textbook design, and promoting intercultural awareness and acknowledging the contexts in which English is now being used. It also offers ways that teachers can critically reflect on existing ELT materials and proposes arguments for including different varieties of Eng-lish in order to ensure a level of intercultural understanding and connect-edness.

Mathematical modelling of the drying of sol gel microspheres

This thesis presents a mathematical model of the evaporation of colloidal sol droplets suspended within an atmosphere consisting of water vapour and air. The main purpose of this work is to investigate the causes of the morphologies arising within the powder collected from a spray dryer into which the precursor sol for Synroc™ is sprayed. The morphology is of significant importance for the application to storage of High Level Liquid Nuclear Waste. We begin by developing a model describing the evaporation of pure liquid droplets in order to establish a framework. This model is developed through the use of continuum mechanics and thermodynamic theory, and we focus on the specific case of pure water droplets. We establish a model considering a pure water vapour atmosphere, and then expand this model to account for the presence of an atmospheric gas such as air. We model colloidal particle-particle interactions and interactions between colloid and electrolyte using DLVO Theory and reaction kinetics, then incorporate these interactions into an expression for net interaction energy of a single particle with all other particles within the droplet. We account for the flow of material due to diffusion, advection, and interaction between species, and expand the pure liquid droplet models to account for the presence of these species. In addition, the process of colloidal agglomeration is modelled. To obtain solutions for our models, we develop a numerical algorithm based on the Control Volume method. To promote numerical stability, we formulate a new method of convergence acceleration. The results of a MATLAB™ code developed from this algorithm are compared with experimental data collected for the purposes of validation, and further analysis is done on the sensitivity of the solution to various controlling parameters.

Do you see what I mean? charting changing representations and receptions of the disabled body in contemporary and pop cultural performance

The meaning of the body emerges through acts of seeing, looking and staring in daily and dramatic performances. Acts that are, as Maike Bleeker argues1, bound up with the scopic rules, regimes and narratives that apply in specific cultures at specific times. In Western culture, the disabled body has been seen as a sign of defect, deficiency, fear, shame or stigma. Disabled artists – Mat Fraser, Bill Shannon, Aaron Williamson, Katherine Araniello, Liz Crow and Ju Gosling – have attempted, via performances that co-opt conventional images of the disabled body, to challenge dominant ways of representing and responding such bodies from within. In this paper, I consider what happens when non-disabled artists co-opt images of the disabled body to draw attention to, affirm, and even exoticise, eroticise or beautify, other modalities of or desires for difference. As Carrie Sandahl has noted2, the signs, symbols and somatic idiosyncrasies of the disabled body are, today, transported or translated into theatre, film and television as a metaphor or "master trope" for every body’s experience of difference. This happens in performance art (Guillermo Gomez-Pena’s use of a wheelchair in Chamber of Confessions), performance (Marie Chouinard's use of crutches, canes and walkers to represent dancers’ experience of becoming different or mutant during training in bODY rEMIX /gOLDBERG vARIATIONS), and pop culture (characters in wheelchairs in Glee or Oz). In this paper, I chart changing representations and receptions of the disabled body in such contexts. I use analysis of this cultural shift as a starting point for a re-consideration of questions about whether a face-toface encounter with a disabled body is in fact a privileged site for the emergence of a politics, and whether co-opting disability as a metaphor for a range of difference differences reduces its currency as a category around which a specific group might mobilise a politics.

Mean-field descriptions of collective migration with strong adhesion

Random walk models based on an exclusion process with contact effects are often used to represent collective migration where individual agents are affected by agent-to-agent adhesion. Traditional mean field representations of these processes take the form of a nonlinear diffusion equation which, for strong adhesion, does not predict the averaged discrete behavior. We propose an alternative suite of mean-field representations, showing that collective migration with strong adhesion can be accurately represented using a moment closure approach.

Meeting under the “Omei” Tree in the Torres Strait Islands : networks and funds of knowledge of mathematical ideas

This paper focuses on the turning point experiences that worked to transform the researcher during a preliminary consultation process to seek permission to conduct of a small pilot project on one Torres Strait Island. The project aimed to learn from parents how they support their children in their mathematics learning. Drawing on a community research design, a consultative meeting was held with one Torres Strait Islander community to discuss the possibility of piloting a small project that focused on working with parents and children to learn about early mathematics processes. Preliminary data indicated that parents use networks in their community. It highlighted the funds of knowledge of mathematics that exist in the community and which are used to teach their children. Such knowledges are situated within a community’s unique histories, culture and the voices of the people. “Omei” tree means the Tree of Wisdom in the Island community.

Numerical simulation of a fractional mathematical model for epidermal wound healing

A number of mathematical models investigating certain aspects of the complicated process of wound healing are reported in the literature in recent years. However, effective numerical methods and supporting error analysis for the fractional equations which describe the process of wound healing are still limited. In this paper, we consider numerical simulation of fractional model based on the coupled advection-diffusion equations for cell and chemical concentration in a polar coordinate system. The space fractional derivatives are defined in the Left and Right Riemann-Liouville sense. Fractional orders in advection and diffusion terms belong to the intervals (0; 1) or (1; 2], respectively. Some numerical techniques will be used. Firstly, the coupled advection-diffusion equations are decoupled to a single space fractional advection-diffusion equation in a polar coordinate system. Secondly, we propose a new implicit difference method for simulating this equation by using the equivalent of the Riemann-Liouville and Gr¨unwald-Letnikov fractional derivative definitions. Thirdly, its stability and convergence are discussed, respectively. Finally, some numerical results are given to demonstrate the theoretical analysis.

They Say You are a Danger But You Are Not: Representations and Construction of the Moral Self in Narratives of 'Dangerous Individuals'

This article is based on an analysis of narratives of 26 offenders with mental health problems living in the United Kingdom. It explores the impact of an ascribed dangerous status and the construction of the self as moral and responsible in response to this label with reference to the literature on denial, deviance disavowal and other “techniques of neutralization” and Goffman's presentation of self. Two dominant strands are identified in relation to the construction of moral self-hood: “Not my fault” and “Good at heart” narratives. “Techniques of neutralization” are widely drawn on, particularly denial of responsibility in the “Not my fault” narratives that seek to explain anti-social behavior with reference to external forces such as a hostile environment inhibiting their ability to control their lives. In contrast, “Good at heart” narratives draw on the essentially good and moral nature of the inner-self. Both are used as evidence of sharing and adhering to moral norms in order to present an acceptable and credible self.

A tensor encoding model for semantic processing

This paper develops and evaluates an enhanced corpus based approach for semantic processing. Corpus based models that build representations of words directly from text do not require pre-existing linguistic knowledge, and have demonstrated psychologically relevant performance on a number of cognitive tasks. However, they have been criticised in the past for not incorporating sufficient structural information. Using ideas underpinning recent attempts to overcome this weakness, we develop an enhanced tensor encoding model to build representations of word meaning for semantic processing. Our enhanced model demonstrates superior performance when compared to a robust baseline model on a number of semantic processing tasks.

Visualising mathematical knowledge and understanding

Contemporary mathematics education attempts to instil within learners the conceptualization of mathematics as a highly organized and inter-connected set of ideas. To support this, a means to graphically represent this organization of ideas is presented which reflects the cognitive mechanisms that shape a learner’s understanding. This organisation of information may then be analysed, with the view to informing the design of mathematics instruction in face-to-face and/or computer-mediated learning environments. However, this analysis requires significant work to develop both theory and practice.

Jabberwocky : the complexities of mathematical English

Mathematical English is a unique language based on ordinary English, with the addition of highly stylised formal symbol systems. Some words have a redefined status. Mathematical English has its own lexicon, syntax, semantics and literature. It is more difficult to understand than ordinary English. Ability in basic interpersonal communication does not necessarily result in proficiency in the use of mathematical English. The complex nature of mathematical English may impact upon the ability of students to succeed in mathematical and numeracy assessment. This article presents a review of the literature about the complexities of mathematical English. It includes examples of more than fifty language features that have been shown to add to the challenge of interpreting mathematical texts. Awareness of the complexities of mathematical English is an essential skill needed by mathematics teachers when teaching and when designing assessment tasks.

Experiences with implementing common mathematical operations using field programmable gate arrays

Many computationally intensive scientific applications involve repetitive floating point operations other than addition and multiplication which may present a significant performance bottleneck due to the relatively large latency or low throughput involved in executing such arithmetic primitives on commod- ity processors. A promising alternative is to execute such primitives on Field Programmable Gate Array (FPGA) hardware acting as an application-specific custom co-processor in a high performance reconfig- urable computing platform. The use of FPGAs can provide advantages such as fine-grain parallelism but issues relating to code development in a hardware description language and efficient data transfer to and from the FPGA chip can present significant application development challenges. In this paper, we discuss our practical experiences in developing a selection of floating point hardware designs to be implemented using FPGAs. Our designs include some basic mathemati cal library functions which can be implemented for user defined precisions suitable for novel applications requiring non-standard floating point represen- tation. We discuss the details of our designs along with results from performance and accuracy analysis tests.

Visualisation of complex flows using texture-based techniques

Detailed representations of complex flow datasets are often difficult to generate using traditional vector visualisation techniques such as arrow plots and streamlines. This is particularly true when the flow regime changes in time. Texture-based techniques, which are based on the advection of dense textures, are novel techniques for visualising such flows. We review two popular texture based techniques and their application to flow datasets sourced from active research projects. The techniques investigated were Line integral convolution (LIC) [1], and Image based flow visualisation (IBFV) [18]. We evaluated these and report on their effectiveness from a visualisation perspective. We also report on their ease of implementation and computational overheads.

News media representations of homelessness : do economic news production pressures prevent journalists from adequately reporting complex social issues

This study used both content and frame analyses to test news-media representations of homelessness in The Courier-Mail newspaper for evidence of restricted journalism practice. Specifically, it sought signs of either direct manipulation of issue representation based on ideological grounds, and also evidence of news organisations prioritising low-cost news production over Public Sphere journalistic news values. The study found that news stories from the earlier parts of the longitudinal study showed stereotypical misrepresentations of homelessness for public deliberation which might be attributed to either, or both of the nominated restricting factors. However news stories from the latter part of the study saw a distinct change in the way the issue was represented, indicating a journalistic capacity to thoughtfully and sensitively represent a complex social issue to the public. Further study is recommended to ascertain how and why this change occurred, so that journalistic practice might be further improved.