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An investigation into the nature of mathematics connections used by selected Grade 11 teachers when teaching algebra : a case study

机译:在教授代数时选定的11年级教师使用的数学联系的性质调查:案例研究

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摘要

The purpose of this study was to investigate the nature of mathematical connections used by selected teachers when teaching the topic of algebra and to investigate their perceptions of their use of connections. The participants were selected on the basis of teaching experience as well as their willingness to share their ideas. An interpretive paradigm was used to collect and analyse data. The data was collected from three participating teachers. These participants were selected from the three secondary schools in the town of Tsumeb in Namibia. I used video recordings of two lessons per teacher as well as semi-structured interviews as my tools to gather data. After the two lessons were video recorded, I conducted a workshop with the teachers to introduce them to the 5 types of mathematical connections pertinent to this study. We analysed the videos together using Businskas' framework as a basis for analysis. This then formed part of the stimulated recall interviews. It was found that, even though teachers were not aware of the concept of mathematical connections before our interactions, there was strong evidence of connections being made and used in their lessons. The two types of connections that were used most frequently (24.1 percent each) were procedural and instruction-oriented connections respectively. Part-whole relationships connections were used the least with a frequency of 12 percent. All three teachers agreed that they needed to make more connections when teaching and that they would think more about connections in future, particularly when preparing their lessons. The study makes recommendations to encourage the continuous use of connections in teaching mathematics.
机译:这项研究的目的是调查在教代数主题时所选教师使用的数学联系的性质,并调查他们对使用联系的看法。参加者是根据教学经验以及他们分享想法的意愿选出的。解释范式用于收集和分析数据。数据是从三名参与的老师那里收集的。这些参与者是从纳米比亚Tsumeb镇的三所中学选拔出来的。我使用每位老师上两课的录像以及半结构化访谈作为收集数据的工具。在录制了两节课的视频后,我与老师们举行了一个研讨会,向他们介绍了与本研究相关的5种数学联系方式。我们使用Businskas的框架共同分析了视频,作为分析的基础。然后,这构成了激发回忆访问的一部分。结果发现,即使教师在我们进行互动之前并没有意识到数学联系的概念,也有确凿的证据表明在课程中已经建立并使用了联系。最常用的两种类型的连接(每种占24.1%)分别是程序和面向指令的连接。整体关系的连接使用最少,频率为12%。三位老师都同意,他们在教学时需要建立更多的联系,并且他们将来会考虑更多的联系,特别是在准备课程时。该研究提出了一些建议,以鼓励在数学教学中不断使用联系。

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