Analysis of High School Students’ Errors in Solving Trigonometry Problems

Evans Kofi Hokor, Jacob Arhin
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引用次数: 2

Abstract

This study examined High School students’ error displayed in solving trigonometry problems. The literature revealed that trigonometry is difficult for students to understand and our paper contends that identifying students’ error and understanding how the errors occurred can serve as a point of reference for instructional decisions which will make the concept easier. The study uses a quantitative research techniques to explore students’ errors in solving trigonometry problems. Ninety students were sampled using multistage sample techniques. Trigonometry Achievement Test (TAT) was used in data collection. Descriptive statistics (figures and tables) was used to present the students’ error after content analysis was carried out and Modified Newman’s Error Hierarchy was used in classifying students’ error. The results revealed most students’ errors occurs at transforming, processing and encoding stages. Independent sample t-test was used to compare the errors committed by male and female students. Independent samples t-test of groups’ differences in means among male and female students indicated that, there was a significant difference in their mean scores at t(89) = 2.198, p < .05. Thus, female students’ level of committing errors in solving trigonometry problems was significantly higher than their male counterparts. The study recommends that Mathematics teachers should make the teaching of trigonometry practical and more activity-oriented to limit students’ error in solving trigonometry problem most importantly among the female students.
高中生解题失误分析
本研究考察了高中生在解三角题时的错误表现。文献表明,三角函数对学生来说很难理解,我们的论文认为,识别学生的错误并了解错误是如何发生的,可以作为教学决策的参考点,这将使三角函数概念更容易理解。本研究采用定量研究的方法探讨学生在解决三角问题时的错误。采用多级抽样技术对90名学生进行抽样。数据采集采用三角学成就测验(TAT)。对学生的错误进行内容分析后,采用描述性统计(图、表)来呈现学生的错误,并采用修正纽曼错误层次法对学生的错误进行分类。结果表明,学生的错误主要发生在转换、加工和编码阶段。采用独立样本t检验比较男女学生的误差率。男女学生组间均分差异的独立样本t检验表明,男女学生的均分差异有统计学意义,t(89) = 2.198, p < 0.05。因此,女生在解决三角问题时的错误水平显著高于男生。本研究建议数学教师应使三角教学更具实践性和活动性,以限制学生在解决三角问题时的错误,尤其是女生。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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