725 resultados para mathematics pedagogy


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This article addresses issues of methodology and ethical reflexivity when attempting to investigate the opinions of young people. Drawing specifically on three studies of young people's understandings of citizenship and their views on topical issues, two from England and one from Lebanon, the authors present ways in which the ethical and practical challenges of such research can be met. While acknowledging the power relationship between researchers and informants, they suggest that what they call ‘pedagogical research approaches’ built on a participative methodology can open up a space where both parties benefit. They argue that, when working in schools, teacher educators can take advantage of this status to present themselves simultaneously as insiders and outsiders. The authors have devised what are intended to be non-exploitative research instruments that permit the gathering of useful qualitative data during a short encounter. They illustrate their approach with examples of classroom activities they have developed to provide simultaneously a valid learning experience and usable data.

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Linguistic influences in mathematics have previously been explored throughsubtyping methodology and by taking advantage of the componential nature ofmathematics and variations in language requirements that exist across tasks. Thepresent longitudinal investigation aimed to examine the language requirements of mathematical tasks in young children aged 5-7 years. Initially, 256 children were screened for mathematics and reading difficulties using standardised measures. Those scoring at or below the 35th percentile on either dimension were classified as having difficulty. From this screening, 115 children were allocated to each of the MD (n=26), MDRD (n=32), reading difficulty (RD, n=22) and typically achieving (TA, n=35) subtypes. These children were tested at four time points, separated by six monthly intervals, on a battery of seven mathematical tasks. Growth curve analysis indicated that, in contrast to previous research on older children, young children with MD and MDRD had very similar patterns of development on all mathematical tasks. Overall, the subtype comparisons suggested that language played only a minor mediating role in most tasks, and this was secondary in importance to non-verbal skills. Correlational evidence suggested that children from the different subtypescould have been using different mixes of verbal and non-verbal strategies to solve the mathematical problems.

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The A-level Mathematics qualification is based on a compulsory set of pure maths modules and a selection of applied maths modules with the pure maths representing two thirds of the assessment. The applied maths section includes mechanics, statistics and (sometimes) decision maths. A combination of mechanics and statistics tends to be the most popular choice by far. The current study aims to understand how maths teachers in secondary education make decisions regarding the curriculum options and offers useful insight to those currently designing the new A-level specifications.

Semi-structured interviews were conducted with A-level maths teachers representing 27 grammar schools across Northern Ireland. Teachers were generally in agreement regarding the importance of pure maths and the balance between pure and applied within the A-level maths curriculum. A wide variety of opinions existed concerning the applied options. While many believe that the basic mechanics-statistics (M1-S1) combination is most accessible, it was also noted that the M1-M2 combination fits neatly alongside A-level physics. Lack of resources, timetabling constraints and competition with other subjects in the curriculum hinder uptake of A-level Further Maths.

Teachers are very conscious of the need to obtain high grades to benefit both their pupils and the school’s reputation. The move to a linear assessment system in England while Northern Ireland retains the modular system is likely to cause some schools to review their choice of exam board although there is disagreement as to whether a modular or linear system is more advantageous for pupils. The upcoming change in the specification offers an opportunity to refresh the assessment also and reduce the number of leading questions. However, teachers note that there are serious issues with GCSE maths and these have implications for A-level.

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This workshop draws on an emerging collaborative body of research by Lovett, Morrow and McClean that aims to understand architecture and its processes as a form of pedagogical practice: a civic pedagogy.

Architectural education can be valued not only as a process that delivers architecture-specific skills and knowledges, but also as a process that transforms people into critically active contributors to society. We are keen to examine how and where those skills are developed in architectural education and trace their existence and/or application within practice. We intend to examine whether some architectural and spatial practices are intrinsically pedagogical in their nature and how the level of involvement of clients, users and communities can mimic the project-based learning of architectural education – in particularly in the context of ‘live project learning’

1. This workshop begins with a brief discussion paper from Morrow that sets out the arguments behind why and how architecture can be understood as pedagogy. It will do so by presenting firstly the relationship between architectural practice and pedagogy, drawing out both contemporary and historical examples of architecture and architects acting pedagogically. It will also consider some other forms of creative practice that explicitly frame themselves pedagogically, and focus on participatory approaches in architectural practice that overlap with inclusive and live pedagogies, concluding with a draft and tentative abstracted pedagogical framework for architectural practice.

2. Lovett will examine practices of architectural operation that have a pedagogical approach, or which recognise within themselves an educational subtext/current. He is most interested in a 'liveness' beyond the 'Architectural Education' of university institutions. The presentation will question the scope for both spatial empowerment / agency and a greater understanding and awareness of the value of good design when operating as architects with participant-clients younger than 18, older than 25 or across varied parts of society. Positing that the learning might be greatest when there are no prescribed 'Learning Outcomes' and that such work might depend on risk-taking and playfulness, the presentation will be a curated showcase drawing on his own ongoing work.

Both brief presentations will inform the basis of the workshop’s discussion which hopes to draw on participants views and expereinces to enrich the research process. The intention is that the overall workshop will lead to a call for contributors and respondents to a forthcoming publication on ‘Architecture as Pedagogy’.

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A pilot study to investigate the effects of mathematics peer tutoring in Irish medium primary schools was undertaken. Five schools and 90 students took part in the pilot. Materials and resources that had previously been shown to work in English medium Scottish schools were translated into Irish by CCEA. Irish medium teachers attended three professional development days. Teachers implemented the peer tutoring techniques during mathematics lessons during a period of 16 weeks. Changes in attainment were measures with an Irish translation of the Scottish Survey of Achievement Mathematics Test. Results were positive. Student attainment was significantly raised during the 16-week implementation period by over one standard deviation. This equated to one-year’s worth of mathematics development during this time period. Results must be treated with caution. No control group was used in the pilot study. However, results are very promising and indicate that reciprocal role peer tutoring may be a useful pedagogy in Irish medium education. Further work would be required to establish this definitively.

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The provision of mathematics learning support in higher-level institutions on the island of Ireland has developed rapidly in recent times with the number of institutions providing some form of support doubling in the past seven years. The Irish Mathematics Learning Support Network aims to inform all mathematics support practitioners in Ireland on relevant issues. Consequently it was decided that a detailed picture of current provision was necessary. A comprehensive online survey was conducted to amass the necessary data. The ultimate aim of the survey is to benefit all mathematics support practitioners in Ireland, in particular those in third-level institutions who require further support to enhance the mathematical learning experience of their students. The survey reveals that the majority of Irish higher-level institutions provide mathematics learning support to some extent, with 65% doing so through a support centre. Learners of service mathematics are the primary users: first-year science, engineering and business undergraduates, with non-traditional students being a sizeable element. Despite the growing recognition for the need to offer mathematics learning support almost half of the centres are subject to annual review. Further, less than half the support offerings have a dedicated full-time manager, while 60% operate with a staff of five or fewer. The elevation of mathematics support as a viable and worthwhile career in order to attract and retain high quality staff is seen by many respondents as the crucial next phase of development.

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This report illuminates the author’s approach, centring on working alongside service users and carers in helping students understand difficult and challenging topics such as the impact of political conflict, social work values and international social work and offers guidance to colleagues in their attempts to meaningfully engage with experiential knowledge.

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Tésis de Doctorado en Filosofía, Universidad de Indiana, Bloomington, 2000

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In order to determine how consistent feedback is within the English Cégep system, this study explores three key aspects of feedback provided to students: the amount of feedback provided, the nature of the feedback according to the defined criteria, and the relative importance of the three categories. Twenty-three teachers in four English departments participated in the study. Data was collected from a detailed questionnaire to give some context in terms of teacher training, experience, and assessment practices. Respondents were then asked to provide written feedback on a sample student essay. Their comments werw analysed in terms of the nature of the feedback, how consistent that feedback was between teachers, and how closely the feedback reflected the stated instructional objectives.

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This chapter reports on a study of teachers in transition, developing their practice and their cognitions regarding the integration of learning technologies with traditional approaches to the teaching of English for Academic Purposes (EAP). Taking a case study approach, it examines developments in the practice of three teachers during and after a teacher education programme on the use of technology in the EAP classroom. This is a study of cognition, teaching philosophy, and the relationship between pedagogy, technology, and content, and how teachers situate these within their own practice. The setting is the rapidly changing UK higher education environment, where the speed of change is such that today's latest fashions and gadgets may well be yesterday's news tomorrow. Thus, this is not a tale of individual technologies or tools to make teachers' lives better. This is a story of people, of pedagogy's traditional values intersecting with technology, and the issues arising from this, alongside the evolution of strategies for dealing with these issues.

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Purpose - To consider a more visual approach to property law teaching practices. This will be achieved by exploring the existence of ‘visual learners’ as a student body, evaluating the use of more visual teaching techniques in academic practice, recognising the historic dominance of text in legal education, and examining the potential for heightening visual teaching practices in the teaching of property law. Design/methodology/approach – The paper reviews and analyses some of the available literature on visual pedagogy, and visual approaches to legal education, but also introduces an amount of academic practitioner analysis. Findings – This paper evidences that, rather than focusing on the categorisation of ‘visual learner’, the modern academic practitioner should employ the customary use of more visual stimuli; consequently becoming a more ‘visual teacher’. This paper demonstrates that these practices, if performed effectively, can impact upon the information literacy of the whole student body: It also proffers a number of suggestions as to how this could be achieved within property law teaching practices. Practical implications – The paper will provide support for early-career academic practitioners, who are entering a teaching profession in a period of accelerated and continual change, by presenting an overview of pedagogic practices in the area. It will also provide a stimulus for those currently teaching on property law modules and support their transition to a more visual form of teaching practice. Originality/value – This paper provides a comprehensive overview of visual pedagogy in legal education, and specifically within that of property law, which has not been conducted elsewhere.