642 resultados para School mathematics


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This report describes the Get Into Vocational Education (GIVE) pilot project run in the Rockhampton Region at two schools in 2011. The report includes a description of the project, including its aims, budget, and timeline; and the findings in relation to each of the three major objectives of the project, namely (a) build awareness of, interest in, and familiarity with, trades as a future vocation and opportunity for advancement; (b) enhance literacy, numeracy and science knowledge and performance; and (c) provide motivation and engagement to stay on at school and build towards a productive future. The clear findings of the GIVE Rockhampton Region pilot project are that, for students at risk in terms of school attendance, engagement and learning: (1) awareness of trade practices in horticulture, hospitality, retail, and design and engineering, literacy, mathematics and science knowledge, and motivation and engagement all improve and, in most cases, dramatically improve, in the GIVE structure; and (2) the crucial factor in the GIVE structure that gives the improvement is the integration of classroom work with trades experiences and not the classroom and trades experiences themselves (although it is better if these are good).

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Purpose This chapter investigates an episode where a supervising teacher on playground duty asks two boys to each give an account of their actions over an incident that had just occurred on some climbing equipment in the playground. Methodology This paper employs an ethnomethodological approach using conversation analysis. The data are taken from a corpus of video recorded interactions of children, aged 7-9 years, and the teacher, in school playgrounds during the lunch recess. Findings The findings show the ways that children work up accounts of their playground practices when asked by the teacher. The teacher initially provided interactional space for each child to give their version of the events. Ultimately, the teacher’s version of how to act in the playground became the sanctioned one. The children and the teacher formulated particular social orders of behavior in the playground through multi-modal devices, direct reported speech and scripts. Such public displays of talk work as socialization practices that frame teacher-sanctioned morally appropriate actions in the playground. Value of paper This chapter shows the pervasiveness of the teacher’s social order, as she presented an institutional social order of how to interact in the playground, showing clearly the disjunction of adult-child orders between the teacher and children.

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Numerical simulations for mixed convection of micropolar fluid in an open ended arc-shape cavity have been carried out in this study. Computation is performed using the Alternate Direct Implicit (ADI) method together with the Successive Over Relaxation (SOR) technique for the solution of governing partial differential equations. The flow phenomenon is examined for a range of values of Rayleigh number, 102 ≤ Ra ≤ 106, Prandtl number, 7 ≤ Pr ≤ 50, and Reynolds number, 10 ≤ Re ≤ 100. The study is mainly focused on how the micropolar fluid parameters affect the fluid properties in the flow domain. It was found that despite the reduction of flow in the core region, the heat transfer rate increases, whereas the skin friction and microrotation decrease with the increase in the vortex viscosity parameter, Δ.

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With the goal of improving the academic performance of primary and secondary students in Malaysia by 2020, the Malaysian Ministry of Education has made a significant investment in developing a Smart School Project. The aim of this project is to introduce interactive courseware into primary and secondary schools across Malaysia. As has been the case around the world, interactive courseware is regarded as a tool to motivate students to learn meaningfully and enhance learning experiences. Through an initial pilot phase, the Malaysian government has commissioned the development of interactive courseware by a number of developers and has rolled this courseware out to selected schools over the past 12 years. However, Ministry reports and several independent researchers have concluded that its uptake has been limited, and that much of the courseware has not been used effectively in schools. This has been attributed to weaknesses in the interface design of the courseware, which, it has been argued, fails to accommodate the needs of students and teachers. Taking the Smart School Project's science courseware as a sample, this research project has investigated the extent, nature, and reasons for the problems that have arisen. In particular, it has focused on examining the quality and effectivity of the interface design in facilitating interaction and supporting learning experiences. The analysis has been conducted empirically, by first comparing the interface design principles, characteristics and components of the existing courseware against best practice, as described in the international literature, as well as against the government guidelines provided to the developers. An ethnographic study was then undertaken to observe how the courseware is used and received in the classroom, and to investigate the stakeholders' (school principal, teachers and students') perceptions of its usability and effectivity. Finally, to understand how issues may have arisen, a review of the development process has been undertaken and it has been compared to development methods recommended in the literature, as well as the guidelines provided to the developers. The outcomes of the project include an empirical evaluation of the quality of the interface design of the Smart School Project's science courseware; the identification of other issues that have affected its uptake; an evaluation of the development process and, out of this, an extended set of principles to guide the design and development of future Smart School Project courseware to ensure that it accommodates the various stakeholders' needs.

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In this paper we extend the ideas of Brugnano, Iavernaro and Trigiante in their development of HBVM($s,r$) methods to construct symplectic Runge-Kutta methods for all values of $s$ and $r$ with $s\geq r$. However, these methods do not see the dramatic performance improvement that HBVMs can attain. Nevertheless, in the case of additive stochastic Hamiltonian problems an extension of these ideas, which requires the simulation of an independent Wiener process at each stage of a Runge-Kutta method, leads to methods that have very favourable properties. These ideas are illustrated by some simple numerical tests for the modified midpoint rule.

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Mature-age secondary teachers offer teaching a wealth of knowledge and skills that can contribute greatly to the quality of education. However, as with the greater workforce, there is an increasing trend for mature-age teachers to elect to retire early or to move into other work. Despite studies suggesting that teachers may be negatively affected by stress, there has been no research into the attitudes of mature-age teachers relating to early retirement and whether these or other factors are instrumental in their decision to retire from teaching. There is, however, a broad range of studies, commentary and analyses on ageing and work that can be utilised to develop a powerful analytical framework to identify the factors that can potentially influence the decision to take early retirement. This study examined the antecedent factors which influenced the early retirement decisions in 16 Queensland secondary school teachers. This study examined factors relating to the teachers decision to retire early and explored school and other factors relating to their decision. In addition, differences between urban and rural secondary school teachers were examined. Given the potentially complex nature of teachers. retirement decisions, the study utilised a qualitative approach. The study found that retired secondary teachers are confronted by ageing realities that are not responded to adequately by the education system, and participants expressed a general dissatisfaction with aspects of school management, especially as it related to bullying and non-inclusion in teaching-related decision making. This study also identified organisational issues within Education Queensland which contributed to system failures that affected mature-age teachers that need to be addressed. This study is one of the first studies to explore the factors influencing early retirement decisions in teachers. The implications of these factors on policy for Education Queensland and for workplace policies in general are discussed.

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This study examines teachers’ conceptions of essential knowledge in the humanities and social sciences, commonly referred to as "social education", in the middle years of schooling. Social education has long been a highly contested area of the curriculum in Australia. In Queensland, social education comprises the integrated learning area of Studies of Society and Environment (SOSE). However, the new Australian Curriculum marks a return to discipline-based study of history and geography. This phenomenographic study addresses a perceived lack of understanding in the current research literature in Australia of the nature of middle school teachers’ professional knowledge for teaching the social sciences. Teachers are conceptualised in this study as curriculum makers in the classroom and, as such, their conceptions of essential knowledge are significant. Shulman’s (1986, 1987) theory of teachers’ knowledge forms the theoretical foundation of the study, which is contextualised in Federal and State education policies and the literature on the middle phase of schooling. Transcripts of interviews conducted with a group of thirty-one Queensland middle school teachers of SOSE were subjected to phenomenographic analysis, revealing seven qualitatively different categories of description. Essential aspects of knowledge for social education emerging from the study were: (1) discipline-based knowledge; (2) curriculum knowledge; (3) knowledge derived from teaching experience; (4) knowledge of middle years learners; (5) knowledge of integration; (6) knowledge of current affairs; and (7) knowledge invested in teacher identity. The three dimensions of variation that linked and differentiated the categories were: (1) content; (2) inquiry learning; and (3) teacher autonomy. These findings are presented as an outcome space where the categories are grouped as knowledge of the learning area, knowledge of contexts and knowledge of self as teacher. The results of the study suggest that social education teachers’ identity and knowledge of self are critical aspects of their knowledge as curriculum makers. The results illustrate that the professional and personal domains intersect, extending Shulman’s (1986, 1987) original theorisation of teachers’ knowledge into the personal arena. Further, middle years teachers’ conceptions of essential knowledge reveal a practice-based theorisation of knowledge for social education that fits the goals of middle schooling. The research concludes that attention to teacher identity in teacher education and in-service professional development has considerable potential to grow teachers’ knowledge in the social sciences and enhance their capacity for school-based curriculum leadership.

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Since 2004, Australian Indigenous (Aboriginal and Torres Strait Islander) students at a low socioeconomic area Australian urban secondary school have used participatory action research to investigate issues of disengagement and absenteeism among their peers. Their research revealed that Indigenous students, who made up about 8% to 10% of the school’s population lacked a sense of belonging to the school. The researchers also revealed an apparent official disregard of the academic or sporting achievements of Indigenous students and, more disturbingly, their presence within the school. The young researchers followed up their findings with action to address the issues. These actions have resulted in a positive change of culture across the whole school, with Indigenous students now able to express pride in their heritage and feel some degree of ownership of the school.

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The Wright-Fisher model is an Itô stochastic differential equation that was originally introduced to model genetic drift within finite populations and has recently been used as an approximation to ion channel dynamics within cardiac and neuronal cells. While analytic solutions to this equation remain within the interval [0,1], current numerical methods are unable to preserve such boundaries in the approximation. We present a new numerical method that guarantees approximations to a form of Wright-Fisher model, which includes mutation, remain within [0,1] for all time with probability one. Strong convergence of the method is proved and numerical experiments suggest that this new scheme converges with strong order 1/2. Extending this method to a multidimensional case, numerical tests suggest that the algorithm still converges strongly with order 1/2. Finally, numerical solutions obtained using this new method are compared to those obtained using the Euler-Maruyama method where the Wiener increment is resampled to ensure solutions remain within [0,1].

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The quality of discovered features in relevance feedback (RF) is the key issue for effective search query. Most existing feedback methods do not carefully address the issue of selecting features for noise reduction. As a result, extracted noisy features can easily contribute to undesirable effectiveness. In this paper, we propose a novel feature extraction method for query formulation. This method first extract term association patterns in RF as knowledge for feature extraction. Negative RF is then used to improve the quality of the discovered knowledge. A novel information filtering (IF) model is developed to evaluate the proposed method. The experimental results conducted on Reuters Corpus Volume 1 and TREC topics confirm that the proposed model achieved encouraging performance compared to state-of-the-art IF models.

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This chapter describes a university/high school partnership focused on digital storytelling. It also explains the multi-stage process used to establish this successful partnership and project. The authors discuss the central role that technology played in developing this university/high school partnership, a collaboration that extended the impact of a digital storytelling project to reach high school students, university students, educators, high school administrators, and the local community. Valuing a reflective process that can lead to the creation of a powerful final product, the authors describe the impact of digital storytelling on multiple stakeholders, including the 13 university students and 33 culturally and linguistically diverse high school youth who participated during the fall of 2009. In addition, the chapter includes reflections from university and high school student participants expressed during focus groups conducted throughout the project. While most participants had a positive experience with the project, complications with the technology component often caused frustrations and additional challenges. Goals for sharing this project are to critically evaluate digital storytelling, describe lessons learned, and recommend good practices for others working within a similar context or with parallel goals.

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It is found in the literature that the existing scaling results for the boundary layer thickness, velocity and steady state time for the natural convection flow over an evenly heated plate provide a very poor prediction of the Prandtl number dependency of the flow. However, those scalings provide a good prediction of two other governing parameters’ dependency, the Rayleigh number and the aspect ratio. Therefore, an improved scaling analysis using a triple-layer integral approach and direct numerical simulations have been performed for the natural convection boundary layer along a semi-infinite flat plate with uniform surface heat flux. This heat flux is a ramp function of time, where the temperature gradient on the surface increases with time up to some specific time and then remains constant. The growth of the boundary layer strongly depends on the ramp time. If the ramp time is sufficiently long, the boundary layer reaches a quasi steady mode before the growth of the temperature gradient is completed. In this mode, the thermal boundary layer at first grows in thickness and then contracts with increasing time. However, if the ramp time is sufficiently short, the boundary layer develops differently, but after the wall temperature gradient growth is completed, the boundary layer develops as though the startup had been instantaneous.

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In this paper we consider the variable order time fractional diffusion equation. We adopt the Coimbra variable order (VO) time fractional operator, which defines a consistent method for VO differentiation of physical variables. The Coimbra variable order fractional operator also can be viewed as a Caputo-type definition. Although this definition is the most appropriate definition having fundamental characteristics that are desirable for physical modeling, numerical methods for fractional partial differential equations using this definition have not yet appeared in the literature. Here an approximate scheme is first proposed. The stability, convergence and solvability of this numerical scheme are discussed via the technique of Fourier analysis. Numerical examples are provided to show that the numerical method is computationally efficient. Crown Copyright © 2012 Published by Elsevier Inc. All rights reserved.

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Anomalous subdiffusion equations have in recent years received much attention. In this paper, we consider a two-dimensional variable-order anomalous subdiffusion equation. Two numerical methods (the implicit and explicit methods) are developed to solve the equation. Their stability, convergence and solvability are investigated by the Fourier method. Moreover, the effectiveness of our theoretical analysis is demonstrated by some numerical examples. © 2011 American Mathematical Society.

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In this paper, a class of fractional advection–dispersion models (FADMs) is considered. These models include five fractional advection–dispersion models, i.e., the time FADM, the mobile/immobile time FADM with a time Caputo fractional derivative 0 < γ < 1, the space FADM with two sides Riemann–Liouville derivatives, the time–space FADM and the time fractional advection–diffusion-wave model with damping with index 1 < γ < 2. These equations can be used to simulate the regional-scale anomalous dispersion with heavy tails. We propose computationally effective implicit numerical methods for these FADMs. The stability and convergence of the implicit numerical methods are analysed and compared systematically. Finally, some results are given to demonstrate the effectiveness of theoretical analysis.