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Developing mathematical thinking in the primary classroom: liberating students and teachers as learners of mathematics

机译:在小学课堂中培养数学思维:解放学生和教师作为数学的学习者

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摘要

This paper reports on a research study conducted with a group of practising primary school teachers (n = 24) in North East Scotland during 2011–2012. The teachers were all participants in a newly developed Masters course that had been designed with the aim of promoting the development of mathematical thinking in the primary classroom as part of project supported by the Scottish Government. The paper presents the background for this initiative within the context of the Scottish Curriculum for Excellence reform. Particular attention is given to the epistemological positioning of the researchers as this influenced both the curriculum design process and also the theoretical framing of the research study which are both described. The project was set up within a design research framework, which aimed to promote classroom-based action research on the part of participants through the course and also research by the university researchers into the process of curriculum development. The research questions focused on the teachers’ confidence, competence, attitudes and beliefs in relation to mathematics and their expectations and experiences of the impact on pupil learning arising from this course. Empirical data were drawn from pre- and post-course surveys, interviews and observations of the discussion forums in the online environment. Findings from this study highlight the way the course had a transformational and emancipatory impact on these teachers. They also highlight ways in which the ‘framing’ of particular aspects of the curriculum had an oppressive impact on learners in the ways that suppressed creativity and limited the exercise of learner autonomy. Furthermore, they highlight the ways in which a number of these teachers had experienced mathematics as a school subject in very negative ways, involving high levels of ‘symbolic violence’ and of being ‘labelled’.
机译:本文报告了一项研究研究,该研究是在2011年至2012年期间与苏格兰东北部的一组小学实践教师(n = 24)进行的。这些老师都是新开发的硕士课程的参与者,该课程的设计旨在促进小学课堂中数学思维的发展,这是苏格兰政府支持的项目的一部分。本文在苏格兰卓越课程改革的背景下,介绍了该倡议的背景。特别注意研究人员的认识论定位,因为这既影响了课程设计过程,也影响了研究的理论框架。该项目是在设计研究框架内建立的,旨在促进参与者通过课程进行基于课堂的行动研究,以及大学研究人员对课程开发过程的研究。研究问题集中于教师对数学的信心,能力,态度和信念,以及他们对本课程对学生学习的影响的期望和经验。经验数据来自在线环境中的课前和课后调查,访谈和观察。这项研究的结果突出了该课程对这些教师产生了变革性和解放性影响的方式。它们还突出了课程的某些特定方面的“框架”以压抑创造力和限制学习者自主权的方式对学习者产生压迫性的方式。此外,它们突出显示了其中许多教师以非常消极的方式将数学作为学校课程的经历,包括高水平的“象征性暴力”和“被标记”。

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