Surveying theories and philosophies of mathematics education

Any theory of thinking or teaching or learning rests on an underlying philosophy of knowledge. Mathematics education is situated at the nexus of two fields of inquiry, namely mathematics and education. However, numerous other disciplines interact with these two fields which compound the complexity of developing theories that define mathematics education. We first address the issue of clarifying a philosophy of mathematics education before attempting to answer whether theories of mathematics education are constructible? In doing so we draw on the foundational writings of Lincoln and Guba (1994), in which they clearly posit that any discipline within education, in our case mathematics education, needs to clarify for itself the following questions: (1) What is reality? Or what is the nature of the world around us? (2) How do we go about knowing the world around us? [the methodological question, which presents possibilities to various disciplines to develop methodological paradigms] and, (3) How can we be certain in the “truth” of what we know? [the epistemological question]

New strength : independent television companies in China’s television industry

As most of people know that all of mass media are state-owned in China, television stations are not exceptional to belong to the enormous state-owned system. But to date, with the economic reform in the broadcasting system and China entering into WTO, the television industry has increased greatly and the television market has matured with more and more competition. The players in China’s television industry have changed from the monologue of TV stations to multi roles of TV stations, production companies and overseas television companies, although TV stations are still the majority of China’s TV market. Especially, private television production companies are becoming more and more active in this market. In this paper, I will describe the development process and challenges of this group in China and ask whether the emergence of this group means for the whole China’s TV industry?

Private television production companies in China : new strength in the market

As most people know, all mass media, including television stations, are state-owned in China. However, with the economic reform in the broadcasting system and China entering the World Trade Organization (WTO), the television industry has expanded greatly and the television market has evolved, with an ensuing growth of competition. The players in China’s television industry have changed from a monologue of TV stations to stations that hold multiple roles and a growth of production companies and overseas television companies although the TV stations still dominate China’s television market. Private television production companies are, however, becoming increasingly active in this market.

Detection and Estimation of Nonstationary Power Transients

This chapter looks at issues of non-stationarity in determining when a transient has occurred and when it is possible to fit a linear model to a non-linear response. The first issue is associated with the detection of loss of damping of power system modes. When some control device such as an SVC fails, the operator needs to know whether the damping of key power system oscillation modes has deteriorated significantly. This question is posed here as an alarm detection problem rather than an identification problem to get a fast detection of a change. The second issue concerns when a significant disturbance has occurred and the operator is seeking to characterize the system oscillation. The disturbance initially is large giving a nonlinear response; this then decays and can then be smaller than the noise level ofnormal customer load changes. The difficulty is one of determining when a linear response can be reliably identified between the non-linear phase and the large noise phase of thesignal. The solution proposed in this chapter uses “Time-Frequency” analysis tools to assistthe extraction of the linear model.

Knowledge is not power, but it’s a start : young people and employment entitlements

This paper employs empirical evidence from a survey of Queensland secondary school students to examine their knowledge about their wages and working conditions. It does so within the theoretical lens of the Gagne (or Gagne-Briggs) theory of instruction, which centres on the content of learning and how learning is acquired (Gagne, Briggs & Wager, 1988). While Gagne articulates five categories of learning, our focus here is on two; verbal information or declarative knowledge (facts that people can declare), and procedural knowledge (the rules and procedures for achieving outcomes). We show that student workers know little about the instruments governing their employment, or their workplace entitlements. Of the total sample of year 9 and year 11 students surveyed (n=892), those students who worked, or who had worked in the past year (n=438), were asked to identify whether they were employed under an award, collective agreement or AWA. Eighty three per cent of students did not know which industrial instrument set their wages. We argue that if young workers do not have declarative knowledge of their entitlements, nor basic procedural knowledge about redress, then they are not in a position to deploy Gagne’s ‘cognitive strategies’ that would enable them to take action to ensure their working conditions meet legal minima. We advocate that young workers should be given summary information on their wages and other entitlements on appointment and that such summary information should be readily available on employers’ noticeboards and electronically on company websites, and that the information should include a brief summary of avenues for redressing issues of underpayment or sub-standard conditions.

The awareness and explication of disciplinarity across four senior-secondary subject areas

This paper issues a challenge to the notion of domain-general teaching and learning, positing that different subject areas require distinct approaches to developing student knowledge and understanding. The aim has been to observe and compare awareness and explication of disciplinarity in four senior secondary school subjects: Biology, History, Music and Physics. Specifically, we were interested in: (1) teachers’ concepts of what it means to ‘know the discipline’, to ‘think like a disciplinary expert’ and to ‘teach and learn the discipline’; and (2) how teachers draw these concepts together to build student knowledge in the classroom. The research informs educational practice and policy, in particular curricular initiatives involving interdisciplinary curricula.

How can we exploit mobile data to customise learning based on a student’s environmental surroundings?

User-Based intelligent systems are already commonplace in a student’s online digital life. Each time they browse, search, buy, join, comment, play, travel, upload, download, a system collects, analyses and processes data in an effort to customise content and further improve services. This panel session will explore how intelligent systems, particularly those that gather data from mobile devices, can offer new possibilities to assist in the delivery of customised, personal and engaging learning experiences. The value of intelligent systems for education lies in their ability to formulate authentic and complex learner profiles that bring together and systematically integrate a student’s personal world with a formal curriculum framework. As we well know, a mobile device can collect data relating to a student’s interests (gathered from search history, applications and communications), location, surroundings and proximity to others (GPS, Bluetooth). However, what has been less explored is the opportunity for a mobile device to map the movements and activities of a student from moment to moment and over time. This longitudinal data provides a holistic profile of a student, their state and surroundings. Analysing this data may allow us to identify patterns that reveal a student’s learning processes; when and where they work best and for how long. Through revealing a student’s state and surroundings outside of schools hour, this longitudinal data may also highlight opportunities to transform a student’s everyday world into an inventory for learning, punctuating their surroundings with learning recommendations. This would in turn lead to new ways to acknowledge and validate and foster informal learning, making it legitimate within a formal curriculum.

Factors influencing paediatric nurses' responses to medication administration

Objective: To evaluate the importance of contextual and policy factors on nurses’ judgment about medication administration practice.---------- Design: A questionnaire survey of responses to a number of factorial vignettes in June 2004. These vignettes considered a combination of seven contextual and policy factors that were thought to influence nurses’ judgments relating to medication administration.---------- Participants: 185 (67% of eligible) clinical paediatric nursing staff returned completed questionnaires.--------- Setting: A tertiary paediatric hospital in Brisbane, Australia.---------- Results: Double checking the patient, double checking the drug and checking the legality of the prescription were the three strongest predictors of nurses’ actions regarding medication administration.--------- Conclusions: Policy factors and not contextual factors drive nurses’ judgment in response to hypothetical scenarios.

The millennial adolescent

The Millennial Adolescent' offers contemporary, stimulating insights for those currently teaching as well as those preparing to teach. This book investigates the characteristics of Generation Y, using students own voices, generational theory and case studies. The text is structured around the principle that effective teachers need to know who they are teaching as well as what to teach, how to teach it, and how to assess the outcome. Using generational theory, 'The Millennial Adolescent' investigates the characteristics of Generation Y, or the Millennial Generation, and points out what all teachers need to know about working with this current generation of students who are described in a number of ways digital natives, team oriented, confident, multi-taskers, high achievers, and a generation unlike any other. The book contains well-known frameworks for developing understandings about adolescents, blended and contrasted with a contemporary socio-cultural construction of adolescence, set in our particular time, era and society. This book reflects the uniqueness of Australian contexts, while connecting with international trends and global patterns. Engaging and full of insights, this book is essential reading for all professionals dealing with adolescents.

Development and use of clinical guidelines

The purpose of this chapter is to provide an overview of the development and use of clinical guidelines as a tool for decision making in clinical practice. Nurses have always developed and used tools to guide clinical decision making related to interventions in practice. Since Florence Nightingale (Nightingale 1860) gave us ‘notes’ on nursing in the late 1800s, nurses have continued to use tools, such as standards, policies and procedures, protocols, algorithms, clinical pathways and clinical guidelines, to assist them in making appropriate decisions about patient care that eventuate in the best desired patient outcomes. Clinical guidelines have enjoyed growing popularity as a comprehensive tool for synthesising clinical evidence and information into user-friendly recommendations for practice. Historically, clinical guidelines were developed by individual experts or groups of experts by consensus, with no transparent process for the user to determine the validity and reliability of the recommendations. The acceptance of the evidence-based practice (EBP) movement as a paradigm for clinical decision making underscores the imperative for clinical guidelines to be systematically developed and based on the best available research evidence. Clinicians are faced with the dilemma of choosing from an abundance of guidelines of variable quality, or developing new guidelines. Where do you start? How do you find an existing guideline to fit your practice? How do you know if a guideline is evidence-based, valid and reliable? Should you apply an existing guideline in your practice or develop a new guideline? How do you get clinicians to use the guidelines? How do you know if using the guideline will make any difference in care delivery or patient outcomes? Whatever the choice, the challenge lies in choosing or developing a clinical guideline that is credible as a decision-making tool for the delivery of quality, efficient and effective care. This chapter will address the posed questions through an exploration of the ins and outs of clinical guidelines, from development to application to evaluation.

A framework for managing wandering and preventing elopement

Purpose of the Study: A framework aids choice of interventions to manage wandering and prevent elopement in consideration of associated risks and mobility needs of wanderers. ---------- Design and Methods: A literature review, together with research results, published wandering tools, clinical reports, author clinical experience, and consensus-based judgments was used to build a decision-making framework. Results: Referencing a published definition of wandering and originating a clinical description of problematic wandering, authors introduce a framework comprising (1) wandering and related behaviors; (2) goals of wandering-specific care, (3) interpersonally, technologically, and policy-mediated wandering interventions, and (4) estimates of relative frequencies of wandering behaviors, magnitudes of elopement risk, and restrictiveness of strategies. ---------- Implications: Safeguarding wanderers from elopement risk is rendered person-centered and humane when goals of care guide intervention choice. Despite limitations, a reasoned, systematized approach to wandering management provides a basis for tailoring a specialized program of care. The need for framework refinement and related research is emphasized.

Forecasting time-varying value-at-risk

In this thesis we are interested in financial risk and the instrument we want to use is Value-at-Risk (VaR). VaR is the maximum loss over a given period of time at a given confidence level. Many definitions of VaR exist and some will be introduced throughout this thesis. There two main ways to measure risk and VaR: through volatility and through percentiles. Large volatility in financial returns implies greater probability of large losses, but also larger probability of large profits. Percentiles describe tail behaviour. The estimation of VaR is a complex task. It is important to know the main characteristics of financial data to choose the best model. The existing literature is very wide, maybe controversial, but helpful in drawing a picture of the problem. It is commonly recognised that financial data are characterised by heavy tails, time-varying volatility, asymmetric response to bad and good news, and skewness. Ignoring any of these features can lead to underestimating VaR with a possible ultimate consequence being the default of the protagonist (firm, bank or investor). In recent years, skewness has attracted special attention. An open problem is the detection and modelling of time-varying skewness. Is skewness constant or there is some significant variability which in turn can affect the estimation of VaR? This thesis aims to answer this question and to open the way to a new approach to model simultaneously time-varying volatility (conditional variance) and skewness. The new tools are modifications of the Generalised Lambda Distributions (GLDs). They are four-parameter distributions, which allow the first four moments to be modelled nearly independently: in particular we are interested in what we will call para-moments, i.e., mean, variance, skewness and kurtosis. The GLDs will be used in two different ways. Firstly, semi-parametrically, we consider a moving window to estimate the parameters and calculate the percentiles of the GLDs. Secondly, parametrically, we attempt to extend the GLDs to include time-varying dependence in the parameters. We used the local linear regression to estimate semi-parametrically conditional mean and conditional variance. The method is not efficient enough to capture all the dependence structure in the three indices —ASX 200, S&P 500 and FT 30—, however it provides an idea of the DGP underlying the process and helps choosing a good technique to model the data. We find that GLDs suggest that moments up to the fourth order do not always exist, there existence appears to vary over time. This is a very important finding, considering that past papers (see for example Bali et al., 2008; Hashmi and Tay, 2007; Lanne and Pentti, 2007) modelled time-varying skewness, implicitly assuming the existence of the third moment. However, the GLDs suggest that mean, variance, skewness and in general the conditional distribution vary over time, as already suggested by the existing literature. The GLDs give good results in estimating VaR on three real indices, ASX 200, S&P 500 and FT 30, with results very similar to the results provided by historical simulation.

Advance Directives Refusing Treatment as an Expression of Autonomy: Do the Courts Practise What They Preach?

The principle of autonomy is at the heart of the right of a competent individual to make an advance directive that refuses life-sustaining medical treatment, and to have that directive complied with by medical professionals. That right is protected by both the common law and, to an extent, by legislation that has been enacted in the United Kingdom and many jurisdictions in Australia. The courts have a critical role in protecting that autonomy, both in those jurisdictions in which the common law continues to operate, and in those jurisdictions which are now governed by statute, and in which judicial determinations will need to be made about legislative provisions. The problem explored in this article is that while the judiciary espouses the importance of autonomy in its judgments, that rhetoric is frequently not reflected in the decisions that are reached. In the United Kingdom and Australia, there is a relatively small number of decisions that consider the validity and applicability of advance directives that refuse life-sustaining medical treatment. This article critically evaluates all of the publicly available decisions and concludes that there is cause for concern. In some cases, there has been an unprincipled evolution of common law principles, while in others there has been inappropriate adjudication through operational irregularities or failure to apply correct legal principles. Further, some decisions appear to be based on a strained interpretation of the facts of the case. The apparent reluctance of some members of the judiciary to give effect to advance directives that refuse treatment is also evidenced by the language used in the judgments. While the focus of this article is on common law decisions, reference will also be made to legislation and the extent to which it has addressed some of the problems identified in this article.

Planning for survival

When the global financial crisis has its own acronym (the “GFC”), you know its going to be around for a while. This article looks at some of the risk/opportunity assessments you should take into consideration if you are planning for your property development business to still be around when the GFC is a thing of the past.

The public sector’s perspective on procuring public works projects : comparing the views of practitioners in Hong Kong and Australia

Hong Kong has been one of the early jurisdictions to adopt Public Private Partnership (PPP) model for delivering large public infrastructure projects. The development of this procurement approach in Hong Kong has followed an intricate path. As such, it is believed that there are a number of areas which are interesting to unveil. As part of a comprehensive research study looking at implementing PPPs, interviews with experienced local industrial practitioners from the public sector were conducted to realize their perspective on the topic of procuring public works projects. Amongst these interviews, fourteen were launched government officials and advisers. The interview findings show that the majority of the Hong Kong and Australian interviewees had previously conducted some kind of research in the field of PPP. Both groups of interviewees agreed that “PPPs gain private sector’s added efficiency/expertise/management skills” when compared to projects procured traditionally. Also, both groups of interviewees felt that projects best suited to use PPP are those that have an “Economic business case”. The interviewees believed that “Contractor’s performance” could be used as key performance indicators for PPP projects. A large number of critical success factors were identified by the interviewees for PPP projects; two of these were similar for both groups of interviewees. These included “Project objectives well defined” and “Partnership spirit/commitment/trust”. Finally it was found that in-house guidance materials were more common in the organizations of the Australian interviewees compared to the Hong Kong ones. This paper studies the views of the public sector towards the topic of PPPs in Hong Kong and Australia, which helps to answer some of the queries that both academics and the private sector in these jurisdictions are keen to know. As a result the private sector can be more prepared when negotiating with the public sector and realise their needs better, academics on the other hand are provided a wider perspective of this topic benefiting the research industry at large.