Mixing colours : an ICT tool based on a semiotic framework for mathematical meaning-making about ratio and fractions

This paper reports on the research and development of an ICT tool to facilitate the learning of ratio and fractions by adult prisoners. The design of the ICT tool was informed by a semiotic framework for mathematical meaning-making. The ICT tool thus employed multiple semiotic resources including topological, typological, and social-actional resources. The results showed that individual semiotic resource could only represent part of the mathematical concept, while at the same time it might signify something else to create a misconception. When multiple semiotic resources were utilised the mathematical ideas could be better learnt.

Mathematical modelling of muscle recruitment and function in the lumbar spine

Low back pain is an increasing problem in industrialised countries and although it is a major socio-economic problem in terms of medical costs and lost productivity, relatively little is known about the processes underlying the development of the condition. This is in part due to the complex interactions between bone, muscle, nerves and other soft tissues of the spine, and the fact that direct observation and/or measurement of the human spine is not possible using non-invasive techniques. Biomechanical models have been used extensively to estimate the forces and moments experienced by the spine. These models provide a means of estimating the internal parameters which can not be measured directly. However, application of most of the models currently available is restricted to tasks resembling those for which the model was designed due to the simplified representation of the anatomy. The aim of this research was to develop a biomechanical model to investigate the changes in forces and moments which are induced by muscle injury. In order to accurately simulate muscle injuries a detailed quasi-static three dimensional model representing the anatomy of the lumbar spine was developed. This model includes the nine major force generating muscles of the region (erector spinae, comprising the longissimus thoracis and iliocostalis lumborum; multifidus; quadratus lumborum; latissimus dorsi; transverse abdominis; internal oblique and external oblique), as well as the thoracolumbar fascia through which the transverse abdominis and parts of the internal oblique and latissimus dorsi muscles attach to the spine. The muscles included in the model have been represented using 170 muscle fascicles each having their own force generating characteristics and lines of action. Particular attention has been paid to ensuring the muscle lines of action are anatomically realistic, particularly for muscles which have broad attachments (e.g. internal and external obliques), muscles which attach to the spine via the thoracolumbar fascia (e.g. transverse abdominis), and muscles whose paths are altered by bony constraints such as the rib cage (e.g. iliocostalis lumborum pars thoracis and parts of the longissimus thoracis pars thoracis). In this endeavour, a separate sub-model which accounts for the shape of the torso by modelling it as a series of ellipses has been developed to model the lines of action of the oblique muscles. Likewise, a separate sub-model of the thoracolumbar fascia has also been developed which accounts for the middle and posterior layers of the fascia, and ensures that the line of action of the posterior layer is related to the size and shape of the erector spinae muscle. Published muscle activation data are used to enable the model to predict the maximum forces and moments that may be generated by the muscles. These predictions are validated against published experimental studies reporting maximum isometric moments for a variety of exertions. The model performs well for fiexion, extension and lateral bend exertions, but underpredicts the axial twist moments that may be developed. This discrepancy is most likely the result of differences between the experimental methodology and the modelled task. The application of the model is illustrated using examples of muscle injuries created by surgical procedures. The three examples used represent a posterior surgical approach to the spine, an anterior approach to the spine and uni-lateral total hip replacement surgery. Although the three examples simulate different muscle injuries, all demonstrate the production of significant asymmetrical moments and/or reduced joint compression following surgical intervention. This result has implications for patient rehabilitation and the potential for further injury to the spine. The development and application of the model has highlighted a number of areas where current knowledge is deficient. These include muscle activation levels for tasks in postures other than upright standing, changes in spinal kinematics following surgical procedures such as spinal fusion or fixation, and a general lack of understanding of how the body adjusts to muscle injuries with respect to muscle activation patterns and levels, rate of recovery from temporary injuries and compensatory actions by other muscles. Thus the comprehensive and innovative anatomical model which has been developed not only provides a tool to predict the forces and moments experienced by the intervertebral joints of the spine, but also highlights areas where further clinical research is required.

Mathematical modelling in the early school years

In this article we explore young children's development of mathematical knowledge and reasoning processes as they worked two modelling problems (the Butter Beans Problem and the Airplane Problem). The problems involve authentic situations that need to be interpreted and described in mathematical ways. Both problems include tables of data, together with background information containing specific criteria to be considered in the solution process. Four classes of third-graders (8 years of age) and their teachers participated in the 6-month program, which included preparatory modelling activities along with professional development for the teachers. In discussing our findings we address: (a) Ways in which the children applied their informal, personal knowledge to the problems; (b) How the children interpreted the tables of data, including difficulties they experienced; (c) How the children operated on the data, including aggregating and comparing data, and looking for trends and patterns; (c) How the children developed important mathematical ideas; and (d) Ways in which the children represented their mathematical understandings.

Australian nursing informatics competency project

A study of Australian nurses on their use of information technology in the workplace was undertaken by the Australian Nursing Federation (ANF) in 2007. This study of over 4000 nurses highlighted that nurses recognise benefits to adopting more information technology in the workplace although there are significant barriers to their use. It also identified gross deficits in the capacity of the nursing workforce to engage in the digital processing of information. Following the release of the study last year, the ANF commenced work on a number of key recommendations from the report in order to overcome identified barriers and provide opportunities for nurses to better utilise information technology and information management systems. One of these recommendations was to seek research funding to develop national information technology and information management competency standards for nurses. This project has now received Federal Government funding to undertake this development. This project is being developed in collaboration with the ANF and the Queensland University of Technology. This paper will discuss the methodology, development and publication of the Australian Nursing Informatics Competency Standards Project which is currently underway and due for completion in May 2009. The Australian Nursing Informatics Competencies will be presented at the conference.

A national evaluation of the Australian Occupational Therapy Competency Standards (1994): a multistakeholder perspective

This paper summarises results from an evaluation of the adequacy and utility of the Australian Competency Standards for Entry-Level Occupational Therapists © (OT AUSTRALIA, 1994a). It comprised a two-part study, incorporating an online survey of key national stakeholders (n = 26), and 13 focus groups (n = 152) conducted throughout Australia with occupational therapy clinicians, academics, OT AUSTRALIA association and Occupational Therapy Registration Board representatives, as well as university program accreditors. The key recommendations were that: (i) urgent revision to reflect contemporary practice, paradigms, approaches and frameworks is required; (ii) the standards should exemplify basic competence at graduation (not within two years following); (iii) a revision cycle of five years is required; (iv) the Australian Qualifications Framework should be retained, preceded by an introduction describing the scope and nature of occupational therapy practice in the national context; (v) access to the standards should be free and unrestricted to occupational therapists, students and the public via the OT AUSTRALIA (national) website; (vi) the standards should incorporate a succinct executive summary and additional tools or templates formatted to enable occupational therapists to develop professional portfolios and create working documents specific to their workplace; and (vii) language must accommodate contextual variation while striking an appropriate balance between providing instruction and encouraging innovation in practice.

Competency Standards and Educational Requirements for Specialist Breast Nurses in Australia

There is substantial evidence that Specialist Breast Nurses (SBNs) make an important contribution to improved outcomes for women with breast cancer, by providing information and support and promoting continuity of care. However, a recent study has identified significant variation in how the role functions across individual nurses and settings, which is likely to contribute to varied outcomes for women with breast cancer. The project reported in this paper illustrates how a set of competency standards for SBNs were developed by the National Breast Cancer Centre. The competency standards were developed through a review of published literature and consultation with key stakeholders. The resulting SBN Competency Standards reflect the core domains and elements of SBN practice seen as integral to achieving optimal outcomes for women with breast cancer. This project identifies the SBN as a registered nurse who applies advanced knowledge of the health needs, preferences and circumstances of women with breast cancer to optimise the individual's health and well-being at various phases across the continuum of care, including diagnosis, treatment, rehabilitation, follow-up and palliative care. The five core domains of practice identified are: Supportive care; Collaborative care; Coordinated care; Information provision and education; and Clinical leadership. A variety of education programs are currently available for nurses who wish to learn about breast cancer nursing. The majority of stakeholders consulted in this project agreed that a Graduate Diploma level of education is required at minimum in order for an SBN to develop the minimum level of competence required to perform the role. The evidence supports the view that as an advanced role, nurses practising as SBNs require high-quality programs of sufficient depth and scope to achieve the required level of competence

Predicting active material utilisation in LiFePO4 electrodes using a multi-scale mathematical model

A mathematical model is developed to simulate the discharge of a LiFePO4 cathode. This model contains 3 size scales, which match with experimental observations present in the literature on the multi-scale nature of LiFePO4 material. A shrinking-core is used on the smallest scale to represent the phase-transition of LiFePO4 during discharge. The model is then validated against existing experimental data and this validated model is then used to investigate parameters that influence active material utilisation. Specifically the size and composition of agglomerates of LiFePO4 crystals is discussed, and we investigate and quantify the relative effects that the ionic and electronic conductivities within the oxide have on oxide utilisation. We find that agglomerates of crystals can be tolerated under low discharge rates. The role of the electrolyte in limiting (cathodic) discharge is also discussed, and we show that electrolyte transport does limit performance at high discharge rates, confirming the conclusions of recent literature.

Collaborative voices: Ongoing reflections on cultural competency and the health care of Australian Indigenous people

The issue of cultural competency in health care continues to be a priority in Australia for health and human services professionals. Cultural competence in caring for Aboriginal and Torres Strait Islander peoples is of increasing interest, and is a priority in closing the gap in health disparities between Indigenous and non-Indigenous Australians. Through a collaborative conversation, the authors draw on a case study, personal experience and the literature to highlight some of the issues associated with employing culturally appropriate, culturally safe and culturally competent approaches when caring for Aboriginal and Torres Strait Islander peoples. The intent of this article is to encourage discussion on the topic of cultural competency, and to challenge health professionals and academics to think and act on racism, colonialism, historical circumstances and the political, social, economic, and geographical realms in which we live and work, and which all impact on cultural competency.