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Misconceptions In Geometry And Suggested Solutions For Seventh Grade Students

机译:几何方面的误解和针对七年级学生的建议解决方案

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The principal aim of this study is to find the weaknesses of secondary school students at geometry questions of measures, angles and shapes, transformations and construction and 3-D shapes. The year 7 curriculum contains 4 geometry topics out of 17 mathematics topics. In addition to this, this study aims to find out the mistakes, 28, 7th grade students made in the last 4 exams including two midterms and two final exams. To collect data, students were tested on two midterms and two final exams using open –ended questions on geometry to analyze their problem solving skills and to test how much they acquired during the year. Frequency tables were used in data analysis. To fulfil this aim in the first midterm exam the subject measures were tested. In the first final exam which followed the first midterm exam in addition to measures and angles shapes skills were also tested. Following these tests, in the second midterm we tested the students on transformation and construction. A descriptive methodology and student interview were used in the study to analyze and interpret the results. The results from this study revealed that 7th grade secondary school students have a number of misconceptions, lack of background knowledge, reasoning and basic operation mistakes at the topics mentioned above.
机译:这项研究的主要目的是发现中学生在度量,角度和形状,变换和构造以及3-D形状的几何问题上的弱点。七年级课程包含17个数学主题中的4个几何主题。除此之外,本研究的目的是找出最近四次考试(包括两次期中考试和两次期末考试)中出现的28名7年级学生的错误。为了收集数据,学生在两个期中考试和两个期末考试中使用了关于几何的开放式问题进行测试,以分析他们的问题解决能力并测试他们在这一年中获得了多少。频率表用于数据分析。为了在第一次期中考试中实现这一目标,对主题措施进行了测试。在第一次期中考试之后的第一次期末考试中,除了测度和角度外,还测试了形状技巧。在完成这些测试之后,我们在第二学期的中期对学生进行了转换和构造测试。在研究中使用了描述性方法和学生访谈来分析和解释结果。这项研究的结果表明,七年级中学生在上述主题上存在许多误解,缺乏背景知识,推理和基本操作错误。

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