125 resultados para foundations of mathematics
Resumo:
Introduction: The Ottawa Charter is undeniably of pivotal importance in the history of ideas associated with the establishment of health promotion. There is much to applaud in a charter which responds to the need to take action on the social and economic determinants of health and which seeks to empower communities to be at the centre of this. Such accolades tend to position the Ottawa Charter as ‘beyond critique’; a taken-for-granted ‘given’ in the history of health promotion. In contrast, we argue it is imperative to critically reflect on its ‘manufacture’ and assess the possibility that certain voices have been privileged, and others marginalized. Methods: This paper re-examines the 1986 Ottawa Conference including its background papers from a postcolonial standpoint. We use critical discourse analysis as a tool to identify the enactment of power within the production of the Ottawa health promotion discourse. This exercise draws attention to both the power to ensure the dominant presence of privileged voices at the conference as well as the discursive strategies deployed to ‘naturalize’ the social order of inequality. Results: Our analysis shows that the discourse informing the development of the Ottawa Charter strongly reflected Western/colonizer centric worldviews, and actively silenced the possibility of countervailing Indigenous and developing country voices. Conclusion: The Ottawa Charter espouses principles of participation, empowerment and social justice. We question then whether the genesis of the Ottawa Charter lives up to its own principles of practice. We conclude that reflexive practice is crucial to health promotion, which ought to include a preparedness for health promotion to more critically acknowledge its own history.
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This presentation provides an overview of our work recently published paper in Global Health Promotion, which re-examined the production of the Ottawa Charter for Health Promotion. In the presentation, I provide an overview of the way we used critical discourse analysis from a postcolonial standpoint. Our analysis shows that the discourse informing the development of the Ottawa Charter strongly reflected Western/colonizer centric worldviews, and actively silenced the possibility of countervailing Indigenous and developing country voices. We question whether the genesis of the Ottawa Charter lives up to its own principles of practice. We conclude that reflexive practice is crucial to health promotion, which ought to include a preparedness for health promotion to more critically acknowledge its own history.
Resumo:
Behavioral models capture operational principles of real-world or designed systems. Formally, each behavioral model defines the state space of a system, i.e., its states and the principles of state transitions. Such a model is the basis for analysis of the system’s properties. In practice, state spaces of systems are immense, which results in huge computational complexity for their analysis. Behavioral models are typically described as executable graphs, whose execution semantics encodes a state space. The structure theory of behavioral models studies the relations between the structure of a model and the properties of its state space. In this article, we use the connectivity property of graphs to achieve an efficient and extensive discovery of the compositional structure of behavioral models; behavioral models get stepwise decomposed into components with clear structural characteristics and inter-component relations. At each decomposition step, the discovered compositional structure of a model is used for reasoning on properties of the whole state space of the system. The approach is exemplified by means of a concrete behavioral model and verification criterion. That is, we analyze workflow nets, a well-established tool for modeling behavior of distributed systems, with respect to the soundness property, a basic correctness property of workflow nets. Stepwise verification allows the detection of violations of the soundness property by inspecting small portions of a model, thereby considerably reducing the amount of work to be done to perform soundness checks. Besides formal results, we also report on findings from applying our approach to an industry model collection.
Resumo:
Ulrich Beck's argument about risk society emphasises, among other things, the pervasiveness of risk. As a feature of the human condition in the contemporary, globalised, world that distinguishes the present from the past, risk is widespread across society and affects all social strata. While Beck has gestured towards the irregular distribution of contemporary risks, nonetheless he has suggested that traditional structural entities – class and wealth – no longer provide the key interpretive frameworks for the calculation of susceptibility. In short, the tentacles of risk are long and almost no one is out of reach. Yet, while the risk society thesis has generated a large theoretical literature, there is very little in the way of research that marries theorising to original data collection. This paper represents an attempt to address this gap by using empirical data to investigate whether risk is more textured than Beck's account suggests. Focusing on health as a domain of risk, the paper uses data from a national sample survey of the Australian electorate to investigate the extent to which social divisions structure perceptions of risk within the general population. The findings suggest that various aspects of social stratification, such as income, occupation and education, do indeed play a role in shaping perceptions of risk.
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The importance of firms’ adaptation processes is prominent in today’s business environment which is characterised by ever changing customers, technologies, and competition. Ever since Schumpeter’s (1942) classic work strategic renewal has been found crucial for firms’ adaptation to environmental change. The role of strategic renewal in firms’ adaptation processes includes development of capabilities for the purpose of sustainability of competitive advantage against environmental changes.
Resumo:
Contemporary higher education institutions are making significant efforts to develop cohesive, meaningful and effective learning experiences for Science, Technology, Engineering and Mathematics (STEM) curricula to prepare graduates for challenges in the modern knowledge economy, thus enhancing their employability (Carnevale et al, 2011). This can inspire innovative redesign of learning experiences embedded in technology-enhanced educational environments and the development of research-informed, pedagogically reliable strategies fostering interactions between various agents of the learning-teaching process. This paper reports on the results of a project aimed at enhancing students’ learning experiences by redesigning a large, first year mathematics unit for Engineering students at a large metropolitan public university. Within the project, the current study investigates the effectiveness of selected, technology-mediated pedagogical approaches used over three semesters. Grounded in user-centred instructional design, the pedagogical approaches explored the opportunities for learning created by designing an environment containing technological, social and educational affordances. A qualitative analysis of mixed-type questionnaires distributed to students indicated important inter-relations between participants’ frames of references of the learning-teaching process and stressed the importance (and difficulty) of creating appropriate functional context. Conclusions drawn from this study may inform instructional design for blended delivery of STEM-focused programs that endeavor to enhance students’ employability by educating work-ready graduates.
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This research was developed between Australia and Papua New Guinea (PNG) over two years investigating ways in which theatre for development could be held accountable for the claims it makes especially in PNG. The motivation to improve theatre for development (TfD) practice was triggered by the desire to enhance the democratic processes of collaboration and co–creativity often lacking in TfD activity in Papua New Guinea. Through creative practice as research and reflective processes, working with established and experienced local community theatre practitioners, a new form of theatre for development, Theatre in Conversations evolved. This form integrated three related genres of TfD including process drama, community theatre and community conversations. The suitability and impact of Theatre in Conversations was tested in three remote villages in PNG. Findings and outputs from the study have the potential to be used by theatre for development practitioners in other countries.
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This paper reports on students’ ability to decode mathematical graphics. The findings were: (a) some items showed an insignificant improvement over time; (b) success involves identifying critical perceptual elements in the graphic and incorporating these elements into a solution strategy; and (c) the optimal strategy capitalises on how information is encoded in the graphic. Implications include a need for teachers to be proactive in supporting students’ to develop their graphical knowledge and an awareness that knowledge varies substantially across students.
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This paper reports a 2-year longitudinal study on the effectiveness of the Pattern and Structure Mathematical Awareness Program (PASMAP) on students’ mathematical development. The study involved 316 Kindergarten students in 17 classes from four schools in Sydney and Brisbane. The development of the PASA assessment interview and scale are presented. The intervention program provided explicit instruction in mathematical pattern and structure that enhanced the development of students’ spatial structuring, multiplicative reasoning, and emergent generalisations. This paper presents the initial findings of the impact of the PASMAP and illustrates students’ structural development.
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The ability to decode graphics is an increasingly important component of mathematics assessment and curricula. This study examined 50, 9- to 10-year-old students (23 male, 27 female), as they solved items from six distinct graphical languages (e.g., maps) that are commonly used to convey mathematical information. The results of the study revealed: 1) factors which contribute to success or hinder performance on tasks with various graphical representations; and 2) how the literacy and graphical demands of tasks influence the mathematical sense making of students. The outcomes of this study highlight the changing nature of assessment in school mathematics and identify the function and influence of graphics in the design of assessment tasks.
Resumo:
The use of symbols and abbreviations adds uniqueness and complexity to the mathematical language register. In this article, the reader’s attention is drawn to the multitude of symbols and abbreviations which are used in mathematics. The conventions which underpin the use of the symbols and abbreviations and the linguistic difficulties which learners of mathematics may encounter due to the inclusion of the symbolic language are discussed. 2010 NAPLAN numeracy tests are used to illustrate examples of the complexities of the symbolic language of mathematics.
Resumo:
Graphical tasks have become a prominent aspect of mathematics assessment. From a conceptual stance, the purpose of this study was to better understand the composition of graphical tasks commonly used to assess students’ mathematics understandings. Through an iterative design, the investigation described the sense making of 11–12-year-olds as they decoded mathematics tasks which contained a graphic. An ongoing analysis of two phases of data collection was undertaken as we analysed the extent to which various elements of text, graphics, and symbols influenced student sense making. Specifically, the study outlined the changed behaviour (and performance) of the participants as they solved graphical tasks that had been modified with respect to these elements. We propose a theoretical framework for understanding the composition of a graphical task and identify three specific elements which are dependently and independently related to each other, namely: the graphic; the text; and the symbols. Results indicated that although changes to the graphical tasks were minimal, a change in student success and understanding was most evident when the graphic element was modified. Implications include the need for test designers to carefully consider the graphics embedded within mathematics tasks since the elements within graphical tasks greatly influence student understanding.