63 resultados para Potential theory (Mathematics)

em Deakin Research Online - Australia


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This thesis reviews previous work done on both general partition graphs and existential partition graphs, which are a generalised form of general partition graphs, and extends some of the results.

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Game theory is a rapidly advancing approach to structure and understand complex management problems in the natural resources sector in both the developed and developing countries. Many natural resource problems are complex due to common property and public goods characteristics. Despite these limitations many researchers have used game theory to analyze water shed management, irrigation water management, grazing land management, and managing other ecological resources. The prisoner’s dilemma game has been widely used. The work of Runge shows that collective action is feasible if a critical mass of people can cooperate. The use of game theory is hindered by lack of information, paucity of empirical applications and the lack of interest by policy makers who wish quick answers to critical policy issues. The potential still remains high for game theory to be productively used both in developing and developed countries.

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This thesis attempted to demonstrate the potential for adaptation from the Chinese philosophical tradition of Daoism into modern psychology. The candidate was able to succesfully demonstrate a link between Daoist thinking style and reduced stress levels, especially in Chinese individuals.

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Professional learning is crucial for the ongoing development of teachers and the improvement of student outcomes. Professional learning in mathematics and science education has the potential to address concerns about shortages in these areas and their impact on economic growth. However, attendance at face-to-face professional learning is problematic for many teachers located in rural areas. This study explores the utilisation of online professional learning in mathematics and science education by teachers in rural areas, and canvasses teachers’ requirements for this form of professional learning. An activity system, using cultural-historical activity theory, is developed for online professional learning for teachers of mathematics and/or science. Qualitative interpretive analysis of transcripts of 14 semi-structured individual interviews with three different groups of people suggests that teachers of mathematics/science require professional learning programs which are not only flexibly delivered but also provide professional learning content that has high utility value. By better understanding how teachers respond to the notion and practice of online professional learning, informed decisions can be made about how best to support teachers and thus build capacity in schools for success in mathematics and science.

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Leicha Bragg shares an effective activity for integrating visual arts, technology and mathematics. Such an approach has the potential to enhance students' visual reasoning and spatial ability by using multiple perspectives of learning. 

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This paper provides an analysis of student experiences of an approach to teaching theory that integrates the teaching of theory and data analysis. The argument that supports this approach is that theory is most effectively taught by using empirical data in order to generate and test propositions and hypotheses, thereby emphasising the dialectic relationship between theory and data through experiential learning. Bachelor of Commerce students in two second-year substantive organisational theory subjects were introduced to this method of learning at a large, multi-campus Australian university. In this paper, we present a model that posits a relationship between students' perceptions of their learning, the enjoyment of the experience and expected future outcomes. The results of our evaluation reveal that a majority of students:

•enjoyed this way of learning;
•believed that the exercise assisted their learning of substantive theory, computing applications and the nature of survey data; and
•felt that what they have learned could be applied elsewhere.

We argue that this approach presents the potential to improve the way theory is taught by integrating theory, theory testing and theory development; moving away from teaching theory and analysis in discrete subjects; and, introducing iterative experiences in substantive subjects.

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Managers and researchers alike have sought new ways to address the challenges of sharing dispersed knowledge in modern business environments. Careful consideration by sharers of receivers' knowledge needs and behaviours may improve the effectiveness of knowledge sharing. This research examines how sharers react to their perceptions of receivers' knowledge needs and behaviours when making choices relating to sharing knowledge. The focus of this article is to propose and empirically explore a theoretical framework for a study of the role of the receiver in knowledge sharing--receiver-based theory. Data collected from two case studies highlight a key role played by perceived receiver knowledge needs and behaviours in shaping sharer choices when explicit knowledge is shared. A set of receiver influences on knowledge sharing is provided that highlights key receiver and sharer issues. The paper concludes that companies should develop better ways to connect potential sharers with receivers' real knowledge needs. Further, the findings suggest that sharing on a need-to-know basis hinders change in organisational power structures, and prevents the integration of isolated pockets of knowledge that may yield new value.

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With the proliferation of social investment vehicles, stakeholders, particularly investors, are increasingly aware of the relationship between economic, social and environmental performance, and disclosure to external parties. This is particularly evident in The Securities and Exchange Commission's Environmental Disclosure Rules. The thesis of this paper is that, after three decades of academic and professional research efforts, there are still no firm proactive guidelines to firmly link the financial performance with environmental and social performance. The purpose of this paper is to revisit empirical research efforts spanning three decades in order to delineate potential links that may assist in systematic, comparable reporting

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The trend towards mLearning is attributed to the growth of knowledge based societies (UNESC0,2005). In this paper, we examine if there is a case for mLearning in India, a developing nation with certain unique contributory factors such as rapid diffusion of mobile communication technologies negating the need for fixed line infrastructure; and the rising demand for flexible learning approaches by the eager, upwardly mobile, middle class population. Our research is informed by learning theory of constructivism that seems to underlie flexible adult learning in modem contexts. A speculative ongoing debate is examined through the lens of critical discourse analysis, to present an outlook for India. We open a launching platform for empirical work in India that would enable building of relevant models by extrapolating findings from this initial research. More significantly, the stakeholders in mLearning such as mobile technology/service providers, education providers and organisations that foster staff development in particular may be beneficiaries from the findings of this preliminary research.

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This paper presents an assessment approach which demonstrates the characteristics of excellent assessment. In a third year Science Education unit in an undergraduate degree in teacher education, assessment is seen as an integral part of the learning process. Learning outcomes are improved for the students and they appreciate the validity of the assessment. Assessment is an important aspect of any unit in higher education but should be seen, not as an end in itself, but rather as a means for educational improvement. Using the assessment task as an illustration, this paper will discuss the theoretical framework of assessment. It will describe how the unit, delivered in a school-based mode, provides opportunity for students to link their theoretical understandings with practical applications, drawing together the academic debates with the first-hand experiences. It will illustrate how the assessment task itself embeds the principles of constructivism and conceptual change models in science education. Finally, the paper will highlight the benefits of this assessment approach with particular reference to the student learning.

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Purpose – The purpose of this paper is to describe how order-generated rules applied to organizing form dualities can assist in creating the conditions for emergent, self-organized behavior in organizations, thereby offering an operational deployment of complexity theory.

Design/methodology/approach – The paper begins by showing that the concept of dualities is consistent with complexity-thinking. In addition, when applied to organizing forms, dualities represent a practical way of affecting an organization's balance between chaos and order. Thus, when augmented with order-generating rules, organizing form dualities provide an access point for the practical instigation of edge of chaos conditions and the potential for emergence.

Findings
– The paper maintains that many attempts to “manage” complexity have been associated with changes to organizing forms, specifically toward new forms of organizing. It is suggested that organizing form dualities provide some management guidance for encouraging the “edge of chaos” conditions advocated in complexity theory, although the details of self-organization cannot be prescribed given the assumptions of non-linearity associated with complexity theory perspectives. Finally, it is proposed that organizing dualities can elucidate the nature and application of order-generating rules in non-linear complex systems.

Practical implications – Dualities offer some guidance toward the practical implementation of complexity theory as they represent an accessible sub-system where the forces for order and chaos – traditional and new forms of organizing respectively – are accessible and subject to manipulation.

Originality/value
– The commonalities between dualities and complexity theory are intuitive, but little conceptual work has shown how the former can be employed as a guide to managing organizing forms. Moreover, this approach demonstrates that managers may be able to stimulate “edge of chaos” conditions in a practical way, without making positivistic assumptions about the causality associated with their efforts.

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In organizational analysis it can be argued that 'radical separatism'—in the guise of the original 'agenda' for Radical Organization Theory (see Benson, 1977a; Burrell and Morgan, 1979; Clegg and Dunkerley, 1980) or more recently that for Critical Management Studies (see Alvesson and Willmott, 1992; Fournier and Grey, 2000; Casey, 2002; Grey, 2004)—has failed to breach the hegemony of functionalist orthodoxy, and notably so when it comes to practice. Given this failure, we speculate, upon the potential for a different emancipatory approach, one based theoretically on the fluid process of 'undecidability'. Unusually our approach attempts to undermine the conventions of functionalist organization theory from within. In brief, we speculate upon the adoption and enactment of Luce Irigaray's (1985, 1991) strategy of mimicry as a means to illuminate the notion of 'excess' in organization theory. To liberate the feminine, Irigaray mimics the symbolic representation of the female body to excess so as to expose the contradictions of phallocentric discourse. When applied to organization theory, this sees a deliberate mimicking of critiques of radical separatism so as to make explicit the latter's imprisonment within functionalism. Through excessive mimicking of the functionalists' critique, the radical/critical organization theorist may become cognizant of, but perhaps not so subjugated by, the hegemony of functionalist discourse.

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Mathematics teachers are encouraged to use realistic contexts in order to make mathematics more meaningful and accessible for all students. However, the focus group research reported in this article shows that decisions on the suitability of contexts are complex and multidimensional. Similarly, the way the task contexts are presented, and the way the tasks are incorporated into classroom routines have potential to alienate some groups of students. We suggest that teachers and researchers should be sensitive to difficulties that students might experience as a result of both the task and classroom contexts, and take specific steps to avoid or overcome the difficulties.

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We are researching actions that teachers can take to improve mathematics learning for all students. Structural elements of the lessons being trialled include making aspects of pedagogy explicit to seek to overcome differences in familiarity with schooling processes, and sequencing tasks with the potential to engage students. This article reports research on teachers building learning communities by preparing variations to set tasks in order to address differences in students’ backgrounds.