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Integrating technology into mathematics teaching at the university level

机译:将技术整合到大学的数学教学中

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The emergence of new computing technologies in the second half of the twentieth century brought about new potentials and promised the rapid transformation of the teaching and learning of mathematics. However, despite the vast investments in technology resources for schools and universities, the realities of schooling and the complexities of technology-equipped environments resulted in a much slower integration process than was predicted in the 1980s. Hence researchers, together with teachers and mathematicians, began examining and reflecting on various aspects of technology-assisted teaching and learning and on the causes of slow technology integration. Studies highlighted that as technology becomes increasingly available in schools, teachers’ beliefs and conceptions about technology use in teaching are key factors for understanding the slowness of technology integration. In this paper, I outline the shift of research focus from learning and technology environment-related issues to teachers’ beliefs and conceptions. In addition, I highlight that over the past two decades a considerable imbalance has developed in favour of school-level research against university-level research. However, several changes in universities, such as students declining mathematical preparedness and demands from other sciences and employers, necessitate closer attention to university-level research. Thus, I outline some results of my study that aimed to reflect on the paucity of research and examined the current extend of technology use, particularly Computer Algebra Systems (CAS) at universities, mathematicians’ views about the role of CAS in tertiary mathematics teaching, and the factors influencing technology integration. I argue that due to mathematicians’ extensive use of CAS in their research and teaching, documenting their teaching practices and carrying out research at this level would not only be beneficial at the university level but also contribute to our understanding of technology integration at all levels.
机译:新的计算技术的出现在二十世纪下半叶带来了新的潜力,并保证了数学教学的快速转变。但是,尽管在学校和大学的技术资源上进行了大量投资,但由于学校的现实情况和配备技术的环境的复杂性,导致集成过程比1980年代预期的要慢得多。因此,研究人员与教师和数学家一起,开始研究和思考技术辅助教学的各个方面以及技术整合缓慢的原因。研究强调,随着学校中越来越多地使用技术,教师关于在教学中使用技术的信念和观念是理解技术整合缓慢的关键因素。在本文中,我概述了研究重点从学习和技术环境相关问题向教师的信念和观念的转变。此外,我强调指出,在过去的二十年中,在学校层面的研究与大学层面的研究之间出现了相当大的失衡。但是,大学的一些变化,例如学生的数学准备水平下降以及其他科学和雇主的要求降低,因此需要更加关注大学水平的研究。因此,我概述了我的一些研究结果,这些研究旨在反思研究的不足,并研究了当前技术使用的扩展,特别是大学中的计算机代数系统(CAS),数学家对CAS在高等数学教学中的作用的看法,以及影响技术集成的因素。我认为,由于数学家在研究和教学中广泛使用CAS,记录他们的教学实践并在此级别进行研究不仅在大学级别上是有益的,而且还将有助于我们对各个级别的技术集成有所了解。

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