917 resultados para Mathematical Education


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Literature suggests that universities, and law schools in particular, are not engaging final year students in a genuine capstone experience which supports the development of their professional identity and their transition out of university. Students in their final year also face significant transition issues which are just as challenging as those facing first year students entering the tertiary environment (Jervis & Hartley, 2005, 314)...

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A national Discipline-Based Initiative project for ICT, funded by the ALTC, has sought to identify the issues and challenges facing the sector. The crisis in ICT education spans high schools, universities and industry. The demand for skilled ICT graduates is increasing yet enrolments are declining. Several factors contribute to this decline including the perceived quality of teaching and a poor perception of the ICT profession amongst the general public. This paper reports on a consultation process with the academic community. Academic concerns include the capacity of the sector to survive the downturn, and improving relationships with industry which should benefit students, academics and industry. An outcome of the consultation process has been the formation of the Australian Council of Deans of ICT (ACDICT) which will have broad responsibility for addressing the issues affecting ICT higher education.

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While there is strong interest in teaching values in Australia and internationally there is little focus on young children’s moral values learning in the classroom. Research shows that personal epistemology influences teaching and learning in a range of education contexts, including moral education. This study examines relationships between personal epistemologies (children’s and teachers’), pedagogies, and school contexts for moral learning in two early years classrooms. Interviews with teachers and children and analysis of school policy revealed clear patterns of personal epistemologies and pedagogies within each school. A whole school approach to understanding personal epistemologies and practice for moral values learning is suggested.

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For marginalised secondary school students, mainstream education may no longer appear to be an inviting place. While proposed solutions to problems of disengagement and marginalisation appear to concentrate on finding ways to coerce students back to mainstream education through, for example, ‘learning or earning’ legislation, this article suggests that more effective solutions may be found by engaging with the students in the margins that they occupy. Following discussion of key influences on student disengagement and a theory of imaginations, a ‘students-as-researchers’ (SaR) model of working with young people is discussed to demonstrate that, through the scaffolded application of active imagination, it is possible for such students to identify and create their own connections to the mainstream. The SaR model is illustrated through reference to groups of disaffected high school students who participated in an action research project to investigate apparent low aspiration for tertiary education among their peers at schools serving low-income communities in Queensland, Australia.

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This paper examines the integration of computing technologies into music education research in a way informed by constructivism. In particular, this paper focuses on an approach established by Jeanne Bamberger, which the author also employs, that integrates software design, pedagogical exploration, and the building of music education theory. In this tradition, researchers design software and associated activities to facilitate the interactive manipulation of musical structures and ideas. In short, this approach focuses on designing experiences and tools that support musical thinking and doing. In comparing the work of Jean Bamberger with that of the author, this paper highlights and discusses issues of significance and identifies lessons for future research.

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In this paper I consider a role for risk understanding in school science education. Grounds for this are described in terms of current sociological analyses of the contemporary world as a ‘risk society’ and recent public understanding of science studies where science and risk are concerns commonly linked within the wider community. These concerns connect with support amongst many science educators for the goal of science education for citizenship. From this perspective scientific literacy for decision making on contemporary socioscientific issues is central. I argue that in such decision making risk understanding has an important role to play. I examine some of the challenges its inclusion in school science presents to science teachers, review previous writing about risk in the science education literature and consider how knowledge about risk might be addressed in school science. I also outline the varying conceptions of risk and suggest some future research directions which would support the inclusion of risk in classroom discussions of socioscientific issues.

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Education might be conceptualized as a swarm of signs. Deleuze, in Proust and Signs (1964/2000) suggests that “Everything that teaches us something emits signs” (p. 4). Such conceptualizations regard education as fluid, multiple and temporal; a young child can display great skill in decoding some signs but not others. Regarding education as temporal and complex operates at some distance to the sociocultural concepts suggested by Vygotsky (1978) which focus on linear sequences of gaining managed, culturally-loaded knowledge from more experienced others. Despite differing theorizations around apprenticeship, during early years education a child becomes sensitive to signs that collectively prioritize conventionalized knowledge acquisition and communication practices. Drawing for learning and communicating exemplifies apprenticeship as a creative process rather than as sequential or culturally driven, and serves to exemplify Deleuzian concepts around the relationships between time and learning, rather than age or development stage and learning.

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Nonhealing wounds are a major burden for health care systems worldwide. In addition, a patient who suffers from this type of wound usually has a reduced quality of life. While the wound healing process is undoubtedly complex, in this paper we develop a deterministic mathematical model, formulated as a system of partial differential equations, that focusses on an important aspect of successful healing: oxygen supply to the wound bed by a combination of diffusion from the surrounding unwounded tissue and delivery from newly formed blood vessels. While the model equations can be solved numerically, the emphasis here is on the use of asymptotic methods to establish conditions under which new blood vessel growth can be initiated and wound-bed angiogenesis can progress. These conditions are given in terms of key model parameters including the rate of oxygen supply and its rate of consumption in the wound. We use our model to discuss the clinical use of treatments such as hyperbaric oxygen therapy, wound bed debridement, and revascularisation therapy that have the potential to initiate healing in chronic, stalled wounds.

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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.

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The growth of solid tumours beyond a critical size is dependent upon angiogenesis, the formation of new blood vessels from an existing vasculature. Tumours may remain dormant at microscopic sizes for some years before switching to a mode in which growth of a supportive vasculature is initiated. The new blood vessels supply nutrients, oxygen, and access to routes by which tumour cells may travel to other sites within the host (metastasize). In recent decades an abundance of biological research has focused on tumour-induced angiogenesis in the hope that treatments targeted at the vasculature may result in a stabilisation or regression of the disease: a tantalizing prospect. The complex and fascinating process of angiogenesis has also attracted the interest of researchers in the field of mathematical biology, a discipline that is, for mathematics, relatively new. The challenge in mathematical biology is to produce a model that captures the essential elements and critical dependencies of a biological system. Such a model may ultimately be used as a predictive tool. In this thesis we examine a number of aspects of tumour-induced angiogenesis, focusing on growth of the neovasculature external to the tumour. Firstly we present a one-dimensional continuum model of tumour-induced angiogenesis in which elements of the immune system or other tumour-cytotoxins are delivered via the newly formed vessels. This model, based on observations from experiments by Judah Folkman et al., is able to show regression of the tumour for some parameter regimes. The modelling highlights a number of interesting aspects of the process that may be characterised further in the laboratory. The next model we present examines the initiation positions of blood vessel sprouts on an existing vessel, in a two-dimensional domain. This model hypothesises that a simple feedback inhibition mechanism may be used to describe the spacing of these sprouts with the inhibitor being produced by breakdown of the existing vessel's basement membrane. Finally, we have developed a stochastic model of blood vessel growth and anastomosis in three dimensions. The model has been implemented in C++, includes an openGL interface, and uses a novel algorithm for calculating proximity of the line segments representing a growing vessel. This choice of programming language and graphics interface allows for near-simultaneous calculation and visualisation of blood vessel networks using a contemporary personal computer. In addition the visualised results may be transformed interactively, and drop-down menus facilitate changes in the parameter values. Visualisation of results is of vital importance in the communication of mathematical information to a wide audience, and we aim to incorporate this philosophy in the thesis. As biological research further uncovers the intriguing processes involved in tumourinduced angiogenesis, we conclude with a comment from mathematical biologist Jim Murray, Mathematical biology is : : : the most exciting modern application of mathematics.

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In recent years, various observers have pointed to the shifting paradigms of cultural and societal participation and economic production in developed nations. These changes are facilitated (although, importantly, not solely driven) by the emergence of new, participatory technologies of information access, knowledge exchange, and content production, many of whom are associated with Internet and new media technologies. In an online context, such technologies are now frequently described as social software, social media, or Web2.0, but their impact is no longer confined to cyberspace as an environment that is somehow different and separate from ‘real life’: user-led content and knowledge production is increasingly impacting on media, economy, law, social practices, and democracy itself.

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Context-based chemistry education aims to improve student interest and motivation in chemistry by connecting canonical chemistry concepts with real-world contexts. Implementation of context-based chemistry programmes began 20 years ago in an attempt to make the learning of chemistry meaningful for students. This paper reviews such programmes through empirical studies on six international courses, ChemCom (USA), Salters (UK), Industrial Science (Israel), Chemie im Kontext (Germany), Chemistry in Practice (The Netherlands) and PLON (The Netherlands). These studies are categorised through emergent characteristics of: relevance, interest/attitudes motivation and deeper understanding. These characteristics can be found to an extent in a number of other curricular initiatives, such as science-technology-society approaches and problem-based learning or project based science, the latter of which often incorporates an inquiry-based approach to science education. These initiatives in science education are also considered with a focus on the characteristics of these approaches that are emphasised in context-based education. While such curricular studies provide a starting point for discussing context-based approaches in chemistry, to advance our understanding of how students connect canonical science concepts with the real-world context, a new theoretical framework is required. A dialectical sociocultural framework originating in the work of Vygotsky is used as a referent for analysing the complex human interactions that occur in context-based classrooms, providing teachers with recent information about the pedagogical structures and resources that afford students the agency to learn.

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In 2009, QUT’s Office of Research and the Institute for Adult Learning Singapore funded a six-month pilot project that represented the first stage of a larger international comparative study. The study is the first of its kind to investigate to what extent and how digital content workers’ learning needs are being met by adult education and training in Australia and Singapore. The pilot project involved consolidating key theoretical literature, studies, policies, programs and statistical data relevant to the digital content industries in Australia and Singapore. This had not been done before, and represented new knowledge generation. Digital content workers include professionals within and beyond the creative industries as follows: Visual effects and animation (including virtual reality and 3D products); Interactive multimedia (e.g. websites, CD-ROMs) and software development; Computer and online games; and Digital film & TV production and film & TV post-production. In the last decade, the digital content industries have been recognised as an industry sector of strong and increasing significance. The project compared Australia and Singapore on aspects of the digital content industries’ labour market, skill requirements, human capital challenges, the role of adult education in building a workforce for the digital content industries, and innovation policies. The consolidated report generated from the project formed the basis of the proposal for an ARC Linkage Project application submitted in the May 2010 round.

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Drawing on the example of a recent study (Wang, 2010), this paper discusses the application of a sociocultural approach to information literacy research and curriculat design. First, it describes the foundation of this research approach in sociocultural theories, in particular Vygotsky's sociocultural theory. Then it presents key theoretical principles arising from the research and describes how the sociocultural approach enabled the establishment of collaborative partnerships between information professionals and academic and teaching support staff in a community of practice for information literacy integration.

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Classroom learning environments are rapidly changing as new digital technologies become more education-friendly. What are students’ perceptions of their technology-rich learning environments? This question is critical as it may have an impact on the effectiveness of the new technologies in classrooms. There are numerous reliable and valid learning environment instruments which have been used to ascertain students’ perceptions of their learning environments. This chapter focuses on one of these instruments, the Web-based Learning Environment Instrument (WEBLEI) (Chang & Fisher, 2003). Since its initial development, this instrument has been used to study a range of learning environments and this chapter presents the findings of two example case-studies that involve such environments.