271 resultados para Mathematical Active Learning
Resumo:
Mathematics has been perceived as the core area of learning in most educational systems around the world including Sri Lanka. Unfortunately, it is clearly visible that a majority of Sri Lankan students are failing in their basic mathematics when the recent grade five scholarship examination and ordinary level exam marks are analysed. According to Department of Examinations Sri Lanka , on average, over 88 percent of the students are failing in the grade 5 scholarship examinations where mathematics plays a huge role while about 50 percent of the students fail in there ordinary level mathematics examination. Poor or lack of basic mathematics skills has been identified as the root cause.
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This paper reports on the results of a project aimed at creating a research-informed, pedagogically reliable, technology-enhanced learning and teaching environment that would foster engagement with learning. A first-year mathematics for engineering unit offered at a large, metropolitan Australian university provides the context for this research. As part of the project, the unit was redesigned using a framework that employed flexible, modular, connected e-learning and teaching experiences. The researchers, interested in an ecological perspective on educational processes, grounded the redesign principles in probabilistic learning design (Kirschner et al., 2004). The effectiveness of the redesigned environment was assessed through the lens of the notion of affordance (Gibson, 1977,1979, Greeno, 1994, Good, 2007). A qualitative analysis of the questionnaire distributed to students at the end of the teaching period provided insight into factors impacting on the successful creation of an environment that encourages complex, multidimensional and multilayered interactions conducive to learning.
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Educating responsive graduates. Graduate competencies include reliability, communication skills and ability to work in teams. Students using Collaborative technologies adapt to a new working environment, working in teams and using collaborative technologies for learning. Collaborative Technologies were used not simply for delivery of learning but innovatively to supplement and enrich research-based learning, providing a space for active engagement and interaction with resources and team. This promotes the development of responsive ‘intellectual producers’, able to effectively communicate, collaborate and negotiate in complex work environments. Exploiting technologies. Students use ‘new’ technologies to work collaboratively, allowing them to experience the reality of distributed workplaces incorporating both flexibility and ‘real’ time responsiveness. Students are responsible and accountable for individual and group work contributions in a highly transparent and readily accessible workspace. This experience provides a model of an effective learning tool. Navigating uncertainty and complexity. Collaborative technologies allows students to develop critical thinking and reflective skills as they develop a group product. In this forum students build resilience by taking ownership and managing group work, and navigating the uncertainties and complexities of group dynamics as they constructively and professionally engage in team dialogue and learn to focus on the goal of the team task.
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This thesis narrates the professional learning experiences of seven Northern Territory teachers. It outlines the evolution from traditional professional development in schools to an active, responsive professional learning agenda. With increasing demands on teachers, standardisation and the quest for improved student outcomes, key themes in the re-storied narrative emerge about the definition and role of professional learning in complex conditions, effective teaching, quality programmes, and teacher agency. This thesis contributes to knowledge about the characteristics that teachers value in their professional learning experiences. An Ongoing Professional Enhancement Model (OPE) is proposed, highlighting directions in this field for key stakeholders.
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For a multiarmed bandit problem with exponential discounting the optimal allocation rule is defined by a dynamic allocation index defined for each arm on its space. The index for an arm is equal to the expected immediate reward from the arm, with an upward adjustment reflecting any uncertainty about the prospects of obtaining rewards from the arm, and the possibilities of resolving those uncertainties by selecting that arm. Thus the learning component of the index is defined to be the difference between the index and the expected immediate reward. For two arms with the same expected immediate reward the learning component should be larger for the arm for which the reward rate is more uncertain. This is shown to be true for arms based on independent samples from a fixed distribution with an unknown parameter in the cases of Bernoulli and normal distributions, and similar results are obtained in other cases.
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Play as a learning practice increasingly is under challenge as a valued component of early childhood education. Views held in parallel include confirmation of the place of play in early childhood education and, at the same time, a denigration of the role of play in favor for more teacher-structured and formal activities. As a consequence, pedagogical approaches towards play, the curriculum activities that constitute play, and the appropriateness of play in educational settings, have come under scrutiny in recent years. In this context, this study investigates children’s perspectives of play and how they understand the role of play and learning in their everyday activities. This article reports on an Australian study where teacher-researchers investigated child-led insights into what counts as play in their everyday classroom activities. Children (aged 3–4 years) described play as an activity that involved their active participation in “doing” something, being with peers, and having agency and ownership of ideas. Children did not always characterize their activities as “play”, and not all activities in the preschool program were described as play. The article highlights that play and learning are complex concepts that may be easily dismissed as separate, when rather they are deeply intertwined. The findings of this study generate opportunities for educators and academics to consider what counts as “play” for children, and to prompt further consideration of the role of play as an antidote to adult centric views of play.
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This is presentation of the refereed paper accepted for the Conferences' proceedings. The presentation was given on Tuesday, 1 December 2015.
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Convex potential minimisation is the de facto approach to binary classification. However, Long and Servedio [2008] proved that under symmetric label noise (SLN), minimisation of any convex potential over a linear function class can result in classification performance equivalent to random guessing. This ostensibly shows that convex losses are not SLN-robust. In this paper, we propose a convex, classification-calibrated loss and prove that it is SLN-robust. The loss avoids the Long and Servedio [2008] result by virtue of being negatively unbounded. The loss is a modification of the hinge loss, where one does not clamp at zero; hence, we call it the unhinged loss. We show that the optimal unhinged solution is equivalent to that of a strongly regularised SVM, and is the limiting solution for any convex potential; this implies that strong l2 regularisation makes most standard learners SLN-robust. Experiments confirm the unhinged loss’ SLN-robustness.
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This paper proposes a novel modulation strategy for a phase controlled Capacitor-Inductor-Capacitor (CLC) Resonant Dual Active Bridge (RDAB). The proposed modulation strategy improves the soft turn-on, Zero-Current-Switching (ZCS) and Zero-Voltage-Switching (ZVS) range of the converter while only minimally increasing the required reactive currents in the ac link. A mathematical analysis of the proposed modulation scheme is presented along with a theoretical loss comparison between several modulation strategies. The proposed modulation strategy was implemented and the experimental results are presented.
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This paper outlines the development of a reflective process through which student feelings are brought to the surface to advance their learning outcomes. A key notion in relation to the capacity of student development is the ability of students to alter their collective habits of thought and in turn the nature of the learning environment. The paper examines student reflection in the context of students' heightened awareness of self and their potential influence on their environment. The notion of 'surfacing feelings' is used to describe the outcome of individual and group reflection through which several parties become aware of the active reflections of individual students, thereby increasing the potential depth of overall reflection. Finally, the author considers the transferability of the ideas discussed to other educational contexts.
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In order to understand student engagement in higher education through the use of digital technologies, it is necessary to appreciate the broader use of differing technologies. Forty-eight first-year university students completed an online survey that queried patterns of digital activity across home, school and community contexts and that included rating scale items that measured learning style (i.e., active-reflective, sensing-intuitive, visual-verbal, sequential-global). Results suggest that students vary widely in digital activities and that such variation is related to differences in learning style. For example, active learners were more likely than reflective learners to engage in digital activities in the community and users of some specific application, as opposed to non-users, were more likely to be verbal than visual learners. Implications for instructional applications of digital technology in higher education are presented.
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The phosphine distribution in a cylindrical silo containing grain is predicted. A three-dimensional mathematical model, which accounts for multicomponent gas phase transport and the sorption of phosphine into the grain kernel is developed. In addition, a simple model is presented to describe the death of insects within the grain as a function of their exposure to phosphine gas. The proposed model is solved using the commercially available computational fluid dynamics (CFD) software, FLUENT, together with our own C code to customize the solver in order to incorporate the models for sorption and insect extinction. Two types of fumigation delivery are studied, namely, fan- forced from the base of the silo and tablet from the top of the silo. An analysis of the predicted phosphine distribution shows that during fan forced fumigation, the position of the leaky area is very important to the development of the gas flow field and the phosphine distribution in the silo. If the leak is in the lower section of the silo, insects that exist near the top of the silo may not be eradicated. However, the position of a leak does not affect phosphine distribution during tablet fumigation. For such fumigation in a typical silo configuration, phosphine concentrations remain low near the base of the silo. Furthermore, we find that half-life pressure test readings are not an indicator of phosphine distribution during tablet fumigation.
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Robotics is taught in many Australian ICT classrooms, in both primary and secondary schools. Robotics activities, including those developed using the LEGO Mindstorms NXT technology, are mathematics-rich and provide a fertile round for learners to develop and extend their mathematical thinking. However, this context for learning mathematics is often under-exploited. In this paper a variant of the model construction sequence (Lesh, Cramer, Doerr, Post, & Zawojewski, 2003) is proposed, with the purpose of explicitly integrating robotics and mathematics teaching and learning. Lesh et al.’s model construction sequence and the model eliciting activities it embeds were initially researched in primary mathematics classrooms and more recently in university engineering courses. The model construction sequence involves learners working collaboratively upon product-focussed tasks, through which they develop and expose their conceptual understanding. The integrating model proposed in this paper has been used to design and analyse a sequence of activities in an Australian Year 4 classroom. In that sequence more traditional classroom learning was complemented by the programming of LEGO-based robots to ‘act out’ the addition and subtraction of simple fractions (tenths) on a number-line. The framework was found to be useful for planning the sequence of learning and, more importantly, provided the participating teacher with the ability to critically reflect upon robotics technology as a tool to scaffold the learning of mathematics.
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This chapter presents an inquiry learning framework that can be used as a pathway for the development of information literacy in both K-12 and higher education. Inquiry learning is advocated as an authentic and active approach that draws upon students’ natural curiosity. The pedagogical and curriculum framework incorporates three major elements: questioning frameworks, information literacy and an iterative research cycle. Models and strategies for the elements of the framework are presented and discussed. The chapter ends with an acknowledgement of the challenges associated with implementing inquiry learning.
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Learning in older age is associated with a wide range of benefits including increases in skills, social interactions, self-satisfaction, coping ability, enjoyment, and resilience to age-related changes in the brain. It is also recognized as being a fundamental component of active ageing and if active ageing objectives are to be met for the growing ageing population, barriers to learning for this group need to be fully understood so that they can be properly addressed. This paper reports on findings from a study aimed at determining the degree that structural factors deter older people aged 55 years and older from engaging in learning activities relative to other factors, based on survey (n=421) and interview (n=40) data. Quantitative and qualitative analyses revealed that factors related to educational institutions as well as infrastructure were commonly cited as barriers to participation in learning. The implications of these and other findings are discussed.