642 resultados para School mathematics


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Premature convergence to local optimal solutions is one of the main difficulties when using evolutionary algorithms in real-world optimization problems. To prevent premature convergence and degeneration phenomenon, this paper proposes a new optimization computation approach, human-simulated immune evolutionary algorithm (HSIEA). Considering that the premature convergence problem is due to the lack of diversity in the population, the HSIEA employs the clonal selection principle of artificial immune system theory to preserve the diversity of solutions for the search process. Mathematical descriptions and procedures of the HSIEA are given, and four new evolutionary operators are formulated which are clone, variation, recombination, and selection. Two benchmark optimization functions are investigated to demonstrate the effectiveness of the proposed HSIEA.

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The Balanced method was introduced as a class of quasi-implicit methods, based upon the Euler-Maruyama scheme, for solving stiff stochastic differential equations. We extend the Balanced method to introduce a class of stable strong order 1. 0 numerical schemes for solving stochastic ordinary differential equations. We derive convergence results for this class of numerical schemes. We illustrate the asymptotic stability of this class of schemes is illustrated and is compared with contemporary schemes of strong order 1. 0. We present some evidence on parametric selection with respect to minimising the error convergence terms. Furthermore we provide a convergence result for general Balanced style schemes of higher orders.

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In this article, I present my experience with integrating an alternate reality gaming (ARG) framework into a pre-service science teacher education course. My goal is to provide an account of my experiences that can inform other science education practitioners at the tertiary and secondary levels that wish to adopt a similar approach in their classes. A game was designed to engage pre-service teachers with issues surrounding the declining enrolments in science, technology, engineering and mathematics disciplines (i.e., the STEM crisis; Tytler, 2007) and ways of re-engaging learners with STEM subjects. The use of ARG in science education is highly innovative. Literature on the use of ARG for educational purposes is scarce so in the article I have drawn on a range of available literature on gaming and ARG to define what it is and to suggest how it can be included in school science classrooms.

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and sexual violence on the social adjustment of Grade 8 and 9 school children in the state of Tripura, India. The study participants, 160 boys and 160 girls, were randomly selected from classes in eight English and Bengali medium schools in Agartala city, Tripura. Data were collected using a self-administered Semi-structured Questionnaire for Children/Students and a Social Adjustment Inventory which were custom-made for the study based on measures in the extant research adapted for the Indian context. Findings revealed that students experienced physical (21.9%), psychological (20.9%), and sexual (18.1%) violence at home, and 29.7% of the children had witnessed family violence. Boys were more often victims of physical and psychological violence while girls were more often victims of sexual violence. The social adjustment scores of school children who experienced violence, regardless of the nature of the violence, was significantly lower when compared with scores of those who had not experienced violence (p<0.001). Social adjustment was poorer for girls than boys (p<0.001). The study speaks in favour of early detection and intervention for all child maltreatment subtypes and for children exposed to interparental violence, and highlights the crucial role of schools and school psychology in addressing the problem.

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Background: Young people whose parents are separated or divorced form a significant and increasing proportion of young people who attend school. To date, empirical research with young people whose parents are separated or divorced has tended to focus on either their household context, or their school context, rather than on both contexts together. This paper redresses this singular focus by examining the intersection of the experiences of young people at both home and school. Purpose: The paper seeks to map the empirical evidence of young people's home and school experiences as they move between households and schools. Sources of evidence: The paper provides a narrative review of the literature from the 1990s to the present, locating Australian research within an international context. The review is framed by four main questions. What is the impact upon young people of the family transitions that occur when parents separate or divorce? What is the everyday impact upon young people of moving between one household and another? What does the research reveal regarding educational, social and emotional outcomes for this group? What does the research reveal regarding their school experiences? Main argument: The review reveals a paucity of Australian research at the intersection of home and school. It shows that, while young people from these contexts form a growing proportion of the school population, there is little empirical evidence of what is actually occurring in their everyday lives. The review reveals the importance of researching from the perspectives of the young people themselves. Conclusions: Evidence provided in the paper shows that many young people whose parents separate or divorce are affected socially, emotionally and educationally. Such evidence points to the need for research into the everyday experiences of the young people at school, in order to identify, from their perspective, how schools can better cater for these young people and their families.

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Objective: The aim of the study is to explore school nurses’ experience of health education. Design: A qualitative approach; phenomenology was used to answer the question. Method: Sixteen participants were recruited through purposeful and snowball sampling. Participants undertook an audio-recorded interview which was transcribed and analysed. Results: Five themes represent school nurses’ experience of health education. Within these five themes, three issues were identified by the participants as having a negative impact on their experience of health education. These were: (1) feeling unwanted by the school; (2) not supported by the school hierarchy; and (3) a lack of role definition. Conclusion: These three issues provide important insight into school nurses’ experience of health education and have implications for other school nurses and professionals in the school environment.

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This work was motivated by the limited knowledge on personal exposure to ultrafine (UF) particles, and it quantifies school children’s personal exposure to UF particles, in terms of number, using Philips Aerasense Nano Tracers (NTs). This study is being conducted in conjunction with the “Ultrafine Particles from Traffic Emissions and Children’s Health (UPTECH)” project, which aims to determine the relationship between exposure to traffic related UF particles and children’s health (http://www.ilaqh.qut.edu.au/Misc/UPTECH%20 Home.htm). To achieve this, air quality and some health data are being collected at 25 schools within the Brisbane Metropolitan Area in Australia over two years. The school children’s personal exposure to UF particles in the first 17 schools are presented here. These schools were tested between Oct 2010 and Dec 2011. Data collection is expected to be complete by mid 2012.

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A new dualscale modelling approach is presented for simulating the drying of a wet hygroscopic porous material that couples the porous medium (macroscale) with the underlying pore structure (microscale). The proposed model is applied to the convective drying of wood at low temperatures and is valid in the so-called hygroscopic range, where hygroscopically held liquid water is present in the solid phase and water exits only as vapour in the pores. Coupling between scales is achieved by imposing the macroscopic gradients of moisture content and temperature on the microscopic field using suitably-defined periodic boundary conditions, which allows the macroscopic mass and thermal fluxes to be defined as averages of the microscopic fluxes over the unit cell. This novel formulation accounts for the intricate coupling of heat and mass transfer at the microscopic scale but reduces to a classical homogenisation approach if a linear relationship is assumed between the microscopic gradient and flux. Simulation results for a sample of spruce wood highlight the potential and flexibility of the new dual-scale approach. In particular, for a given unit cell configuration it is not necessary to propose the form of the macroscopic fluxes prior to the simulations because these are determined as a direct result of the dual-scale formulation.

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A Jacobian-free variable-stepsize method is developed for the numerical integration of the large, stiff systems of differential equations encountered when simulating transport in heterogeneous porous media. Our method utilises the exponential Rosenbrock-Euler method, which is explicit in nature and requires a matrix-vector product involving the exponential of the Jacobian matrix at each step of the integration process. These products can be approximated using Krylov subspace methods, which permit a large integration stepsize to be utilised without having to precondition the iterations. This means that our method is truly "Jacobian-free" - the Jacobian need never be formed or factored during the simulation. We assess the performance of the new algorithm for simulating the drying of softwood. Numerical experiments conducted for both low and high temperature drying demonstrates that the new approach outperforms (in terms of accuracy and efficiency) existing simulation codes that utilise the backward Euler method via a preconditioned Newton-Krylov strategy.

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This book is a reader for primary school students, stage 27-30 (fluent), incorporating mathematics themes. There is a fictional narrative, entitled "A Day at the Show", that describes the activities of Tess and Alex when visiting their local show. A non-fiction exposition, entitled "Supporting Australian Shows", explains more about Australian shows and why we should support them. Accompanying the book is a "building comprehension card" to assist teachers in their classroom use of the reader.

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This book is a reader for primary school students, stage 24-26 (fluent), incorporating mathematics themes. There is a fictional narrative, entitled "A Flying Visit", that describes Tess' and Alex's encounter with the Flying Doctor. A non-fiction recount, entitled "Fundraising for the Flying Doctors", describes the activities of a class group in raising money for the Flying Doctors. Accompanying the book is a "building comprehension card" to assist teachers in their classroom use of the reader.

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Mathematical English is a unique language based on ordinary English, with the addition of highly stylised formal symbol systems. Some words have a redefined status. Mathematical English has its own lexicon, syntax, semantics and literature. It is more difficult to understand than ordinary English. Ability in basic interpersonal communication does not necessarily result in proficiency in the use of mathematical English. The complex nature of mathematical English may impact upon the ability of students to succeed in mathematical and numeracy assessment. This article presents a review of the literature about the complexities of mathematical English. It includes examples of more than fifty language features that have been shown to add to the challenge of interpreting mathematical texts. Awareness of the complexities of mathematical English is an essential skill needed by mathematics teachers when teaching and when designing assessment tasks.

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Adolescent risk-taking behavior has potentially serious injury consequences and school-based behavior change programs provide potential for reducing such harm. A well-designed program is likely to be theory-based and ecologically valid however it is rare that the operationalisation process of theories is described. The aim of this paper is to outline how the Theory of Planned Behavior and Cognitive Behavioral Therapy informed intervention design in a school setting. Teacher interviews provided insights into strategies that might be implemented within the curriculum and provided detail used to operationalise theory constructs. Benefits and challenges in applying both theories are described with examples from an injury prevention program, Skills for Preventing Injury in Youth.

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This elicitation study was designed to explore salient behavioural, normative, and control beliefs in accordance with the Theory Planned Behaviour (TPB) and in relation to drivers’ speeding behaviour in school zones. The study also explored mindfulness and habit as additional constructs in the TPB framework. The aim of this study was to identify those beliefs which influenced drivers’ speeding behaviour in school zones and thus gain greater insight into the motivating factors underpinning the behaviour which may inform interventions to reduce this behaviour. Seventeen Australian drivers participated in one of a series of focus group discussions. Overall, conceptual content analysis revealed some similar issues across the groups. In particular, highlighting the influence of behavioural and normative beliefs, there was much agreement that there were no real advantages to speeding in school zones with the behaviour considered dangerous and unacceptable and likely to also be regarded as such by important others. In addition, given the public concern about safety of school children, acknowledgment of such concern represented an important factor discouraging one’s likelihood of engaging in speeding in school zones (i.e., complying with the school zone speed limit). However, despite normative support not to speed, and the need to ensure children’s safety as an important factor discouraging speeding, the study also found that there was a tendency for drivers to report unintentionally speeding in a school zone. Instances of unintentional speeding were reported as occurring due to several reasons including a driver’s current affective state (e.g., more likely to speed in a school zone if they were in a bad mood), the extent to which they were familiar with the environment (i.e., more likely to drive mindlessly – on ‘autopilot’ - in more familiar contexts) and when feeling fatigued. The theoretical implications of including mindfulness and habit with TPB constructs and the practical implications in terms of suggested interventions are discussed.

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This paper presents a combined structure for using real, complex, and binary valued vectors for semantic representation. The theory, implementation, and application of this structure are all significant. For the theory underlying quantum interaction, it is important to develop a core set of mathematical operators that describe systems of information, just as core mathematical operators in quantum mechanics are used to describe the behavior of physical systems. The system described in this paper enables us to compare more traditional quantum mechanical models (which use complex state vectors), alongside more generalized quantum models that use real and binary vectors. The implementation of such a system presents fundamental computational challenges. For large and sometimes sparse datasets, the demands on time and space are different for real, complex, and binary vectors. To accommodate these demands, the Semantic Vectors package has been carefully adapted and can now switch between different number types comparatively seamlessly. This paper describes the key abstract operations in our semantic vector models, and describes the implementations for real, complex, and binary vectors. We also discuss some of the key questions that arise in the field of quantum interaction and informatics, explaining how the wide availability of modelling options for different number fields will help to investigate some of these questions.