Production system model of children's development of number concepts

The purpose of the present research study was to produce a global, cumulative model of number concept development for children between the ages of two and eight years old. The theoretical and methodological orientation of this study was greatly influenced by Richard Young's production system analysis of seriation by young children (Young, 1971, 1976) and by Newell's (1973) seminal paper, ‘You can't play twenty questions with nature and win’. The methodology used in this investigation thus was as follows. A series of complex number tasks encompassing many aspects of the concept of number were developed. Five children aged between three and seven years then were videotaped while performing some of these complex number tasks. From a detailed protocol analysis of the video-recordings, computer simulation models written in the production system language PSS3 (Ohlsson, 1979) were produced. Specific production system models were produced for each of following aspects of the children's number knowledge: (i) sharing of discrete quantities; (ii) comparison of shares; and (iii) conservation/addition/subtraction of number. These domain-specific models were based on the converging experimental evidence obtained from each of the children’s responses to variants of the complex number tasks. Each child thus received a different set of problems which were chosen systematically in order to clarify particular features of the child's abilities. After a production system model for each child had been produced within a domain, these models were compared and contrasted. From this analysis, developmental trends within the domain were identified and discussed. The research and educational implications of these developmental trends then were discussed. In the concluding parts of this study, the children's domain-specific production system models were cumulated into global, comprehensive models which accurately represented their behaviour in a variety of number tasks. These comprehensive models were compared and contrasted and general developmental trends in young children's number knowledge were identified and discussed.

Quality in flexible, online and distance education at Deakin University, Australia

This chapter presents an overview of the management of quality for flexible, online and distance education (off-campus education) at Deakin University in Australia. In 1974, Deakin University was established as a dual-mode institution educating large numbers of both on- and off-campus students. From its foundation it has increasingly sought to provide the same learning resources, equivalent learning experiences and parity of outcomes to students studying in all modes (Hay, Lowe, Gibb & Anderson, 2002). While this was the ideal on which Deakin was founded, in practice approaches differed across various schools and courses where in some areas integration was achieved through an open-campus model, while in others the tendency was towards separation of the modes of delivery by course. Deakin’s history can be characterised as moving from dual-mode approaches to educating its student cohorts, to a now well articulated, integrated and institution-wide approach to assuring and improving the quality of all modes of educational delivery for an extremely diverse and complex set of student cohorts. In this regard, it makes no particular distinction between these student groups in its policies, procedures and processes relating to educational matters.

Sliding mode-like learning control for SISO complex systems with T-S fuzzy models

In this paper, a sliding mode-like learning control scheme is developed for a class of single input single output (SISO) complex systems. First, the Takagi-Sugeno (T-S) fuzzy modelling technique is employed to model the uncertain complex dynamical systems. Second, a sliding mode-like learning control is designed to drive the sliding variable to converge to the sliding surface, and the system states can then asymptotically converge to zero on the sliding surface. The advantages of this scheme are that: 1) the information about the uncertain system dynamics and the system model structure is not required for the design of the learning controller; 2) the closed-loop system behaves with a strong robustness with respect to uncertainties; 3) the control input is chattering-free. The sufficient conditions for the sliding mode-like learning control to stabilise the global fuzzy model are discussed in detail. A simulation example for the control of an inverted pendulum cart is presented to demonstrate the effectiveness of the proposed control scheme.

Correct weight? analysing Australian football through a derivative global or cultural cringe model

The application of a 'global' model, in practice usually British or American, and generalised sociological concepts to a particular sport and its social and cultural context is not always appropriate. In Australian academia, the custom is particularly appealing, due to the Australian colonial 'cultural cringe', the pattern of automatic deference to overseas (termed 'international') knowledge. This article argues that 'Fresh Prince of Coloma! Dome: Indigenous Logic in the AFL' (Football Studies, 8(1), 2005) inappropriately applies American sociological, and American football, logic to the indigenous Australian game Australian football, which differs in character both as a game and in its social, cultural and political context. The three researchers do not take account of the factors of height and weight in Australian football, and the average size of Aboriginal players, and of the relationship between speed and strength in the game as strategies and tactics change. Both omissions constitute fundamental flaws. American football and sports sociology's ideas of 'central position theory', with a suggestion of underlying racism, is of limited relevance to Australian football. It is also possible that the American sitcom, Fresh Prince of Bel Air, was neither a helpful muse nor a suitable metaphor for research into this subj ect. In Australian football, a game in which few 'central positions' are crucial and in which 'leadership positions' can be found in many parts of the ground, including the half-back flank and the wing, neither size nor position are the only major determinants of significance in the team.

Towards a global model of accounting education

Purpose - The purpose of this paper is to examine the accounting education systems in three countries - Australia, Japan and Sri Lanka - to inform the development and testing (by application) of a Global Model of Accounting Education.

Global profit split: An evolutionary approach to international income allocation

International taxation is concerned mainly with the equitable allocation of cross-border income between countries in which income-earning activities take place. Such allocation has traditionally been governed by the arm’s-length principle, which has been interpreted as requiring a comparable transactional pricing approach. This approach assumes that each member of a multinational enterprise (MNE) group is a separate entity and that the transactions between related parties can be separated and compared with arm’s-length transactions. It has, however, proved difficult to apply comparable transactional pricing to internationally integrated businesses, especially those involving intangibles and services, and formulary apportionment has been suggested as an alternative. Essentially, formulary apportionment treats the MNE group as a single economic entity. The group’s profit is allocated to members according to a formula that reflects the particular member’s contribution to the production of that profit. A rich academic literature exists which either defends or attacks this alternative approach. The OECD and national governments have rejected formulary apportionment mainly on the ground that it violates the arm’s-length principle. This article proposes a global profit split (GPS) method for allocating international income. The GPS would allocate the global profit of an integrated business to each country in accordance with the economic contributions made by components of the business located in that country. The allocation would be based on a formula that would reflect the economic factors that contribute to profit making. While the GPS draws on elements of the traditional formulary apportionment and profit split methods, it also differs from them. The author discusses in detail the key issues involved in designing the GPS. She also presents and evaluates the main policy and pragmatic justifications for the adoption of this innovative approach. The author argues that the GPS is not only theoretically and practically superior to traditional income allocation methods, but also consistent with the arm’s-length principle. On the basis of historical developments, interpretation of article 9 of the OECD model tax convention, and international tax policy considerations, the author establishes that the GPS is not a radical departure from the arm’s-length principle, but rather a natural development in its evolution. She concludes that the law of evolution ison the side of reform because the GPS would provide for a fair and effective allocation of income derived from globally integrated business activities.

Mathematical modelling of the refractive index reconstruction through global optimization

We examine a mathematical model of non-destructive testing of planar waveguides, based on numerical solution of a nonlinear integral equation. Such problem is ill-posed, and the method of Tikhonov regularization is applied. To minimize Tikhonov functional, and find the parameters of the waveguide, we use two new optimization methods: the cutting angle method of global optimization, and the discrete gradient method of nonsmooth local optimization. We examine how the noise in the experimental data influences the solution, and how the regularization parameter has to be chosen. We show that even with significant noise in the data, the numerical solution is of high accuracy, and the method can be used to process real experimental da.ta..

Global factor trade with differentiated factor prices and factor intensities

Relaxing the assumption of internationally identical factor intensity techniques in the HOV model creates two challenges. First, computing actual factor intensity techniques of different countries requires detailed input-output tables and factor usage data, which are not always available. Second, determinants of the factor intensity technique differences across countries need to be identified. This paper explores the role of relative factor price differences in the determination of factor intensity technique differences across countries and proposes an inferring method that infers factor intensity techniques of different countries based on relative factor price differences. The HOV model is then modified accordingly.

Commerce mondial des facteurs de production quand les prix des facteurs sont différenciés et les intensités dans l'intensité d'utilisation des facteurs différentes. Relaxer le postulat de techniques à intensité identique de facteurs de production d'un pays à l'autre dans un modèle Heckscher-Ohlin-Vanek (HOV) pose deux défis. D'abord, mesurer les intensités en facteurs des techniques en place dans les divers pays réclame des tableaux interindustriels détaillés et des données sur l'utilisation des facteurs qui ne sont pas toujours disponibles. Ensuite, il faut identifier les déterminants des différences d'intensités en facteurs des techniques d'un pays à l'autre. Ce mémoire explore le rôle des différences dans les prix relatifs des facteurs dans la détermination des différences d'intensité en facteurs d'un pays à l'autre, et propose une méthode qui permet d'inférer les différences d'intensité en facteurs des techniques des divers pays à partir des différences dans les prix relatifs des facteurs. Le modèle HOV est alors modifié en conséquence.

A model of online teaching and learning

Deakin University has a long history of supporting distance education with technology. Such presentations have matured from a mix of remote-login/FTP/email in the 1980s through web mediated access in the 1990s to institution-wide learning management systems which are emerging currently. By the commencement of semester I, 2003, online teaching at the University will be supported by a single, institution-wide, learning management system, which is expected to support approximately 28,000 students, who will each be accessing up to 4 of some 1500 undergraduate and 700 postgraduate courses. In this paper we describe a model for online teaching of both on-campus and off-campus students in the Bachelor of Computing, using various technologies to support different aspects of online teaching and learning. This programme has been running in a web-mediated environment for over six years. Each year the administration of the programme has been modified in a reactive manner, based on student feedback and the identification of failure points during the previous semester, resulting in the model maturing over that time. We discuss how the changes have impacted the model, the academics involved in the teaching of the unit and the students' experience of learning in the online environment. We also discuss the advantages and disadvantages of online teaching and learning, as well as some potential pitfalls and how to avoid them, or, at least, minimise their impact.

Validated model and study of a rammed earth wall building

A 2100 m² (GFA) two-storey rammed earth building was built on the Thurgoona campus of Charles Sturt University in 1999. The building is novel both in the use of materials and equipment for heating and cooling. The climate at Wodonga can be characterised as hot and dry, so the challenge of providing comfortable working conditions with minimal energy consumption is considerable. This paper describes a thermal model of one of the second-storey offices on the west-end of the building. The simulation software, TRNSYS, has been used to predict office temperatures and comparisons are made between these and measurements made over a typical week in summer. Reasonable agreement has been achieved under most conditions. The model has been used to investigate key building parameters and strategies, including night flushing, to improve the thermal comfort in the office.

Civil society and global governance : the possibilities for global citizenship

In this article we reassert the role of governance as well as of civil society in the analysis of citizenship. We argue that to analyse global civil society and global citizenship it is necessary to focus on global governance. Just as states may facilitate or obstruct the emergence and development of national civil society, so too global governance institutions may facilitate or obstruct an emerging global civil society. Our key contention is that civil society at the global level thrives through its interaction with strong facilitating institutions of global governance. We start with a discussion of civil society and citizenship within the nation-state, and from there develop a model of global civil society and citizenship. Through analysing the impacts of various modes of global governance, we identify strategically appropriate forms of political and social engagement that best advance the prospects for global citizenship.

Modelling the diffuse fraction of global solar radiation on a horizontal surface

For various applications it is necessary to know not only global solar radiation values, but also the diffuse and beam components. Because often only global values are available, there have been several models developed to establish correlations between the diffuse fraction and various predictors. These typically include the clearness index, but also may include the solar angle, temperature and humidity. The clearness index is the proportion of extraterrestrial radiation reaching a location, where the extraterrestrial value used in the calculation varies with latitude and time of year. These correlations have been developed using data principally from latitudes greater than 40°, often using only data from a few locations and with few exceptions have not used solar altitude as a predictor. Generally the data consist of hourly integrated values. A model has been developed using hourly data from a weather station set up at Deakin University, Geelong. Another model has also been developed for 15 minute data values in order to ascertain if the smoothing generated by using hourly data makes a significant difference to overall results. The construction of such models has been investigated, enabling an extension to the research, inclusive of other stations, to be performed systematically. A final investigation was carried out, using data from other Australian locations, to explain some of the considerable scatter by adding apparent solar time as a predictor, which proved to be significantly better than solar altitude.

Providing a practical education for off-campus engineering students

This paper considers the provision of laboratory-practicals for distance-education students in engineering degree programmes. The authors discuss the role of laboratory-practical work in the curriculum and reflect on five methods that can be used to ensure off-campus students have an equivalent practical experience as the traditional on-campus cohort. On-campus sessions, videotapes (or ‘on-line’ movie-clips), computer simulations, home experiment kits and laboratories controlled over the internet are covered. Some examples are given to show how these can be incorporated into the curriculum. A case study then discusses the problem of (and an exemplar solution to) delivering the laboratory-practical components of two microcontroller units offered at Deakin University – a leading provider of distance-education in Australia. In doing so, it leads the reader through the solution process and cites some constraints that drive the choice of model - for example, cost considerations and the need for relevant didactic materials.