高二学生圆锥曲线解题错误的调查与分析
发布时间：2018-07-28 10:54
【摘要】：在数学学习过程中,学生解题犯错是正常的。但在教学过程中,教师希望帮助学生彻底理解数学知识,少犯错或不犯错,以提高学习的效率。近年来,解题错误的合理性逐渐得到人们的肯定,越来越多的人开始关注解题错误的教育价值。作为平面解析几何的核心内容,圆锥曲线是高中生数学学习的重点和难点,也是高考考查的重点。对高二学生圆锥曲线解题错误的调查表明,学生在学习圆锥曲线时存在一定的问题,在解答与之相关的题目时出现了较多的错误。但国内外与解题错误相关的研究中缺少对圆锥曲线解题错误的调查研究。本研究主要采用问卷调查法、访谈法、试卷分析法,应用Excel进行数据处理,对高二学生解题错误做调查研究。本论文总共六章。第1章是引言。主要介绍了研究的背景、意义,本文要研究的主要问题及其基本结构。第2章是文献综述。通过对国内外有关解题错误的研究资料进行梳理与总结,为本文的写作提供指南。第3章是研究的方法。主要对本文所选的研究对象、研究内容,采用的研究方法、研究工具进行了详细说明,并介绍了数学解题错误的分析框架：知识性错误、逻辑性错误、策略性错误及疏忽性错误。第4章是高二学生圆锥曲线解题错误的调查与分析。这一章主要进行两方面的调查研究：一方面是高二师生对解题错误认识的调查；另一方面,对高二学生在解决圆锥曲线相关问题的过程中出现的解题错误进行归类统计,并分析了不同类型错误产生的原因。第5章是纠正高二学生圆锥曲线解题错误的原则和对策建议。针对高二学生圆锥曲线学习中存在的主要错误,教师在纠正学生错误时应遵循适时性、针对性和主体性三大原则,并提出帮助学生树立恰当的错误观、注重分析学生的错误、区别对待不同类型的解题错误、注重学生良好的解题习惯的养成、引导学生利用好错题本这五条纠错建议。第6章是结论与反思。这部分围绕本论文研究的主要问题总结了研究的结论,并指出本研究的不足和今后研究的方向。
[Abstract]:It is normal for students to solve problems and make mistakes in the process of learning mathematics. But in the process of teaching, teachers hope to help students understand mathematics thoroughly and make fewer mistakes or no mistakes, so as to improve the efficiency of learning. In recent years, the rationality of problem-solving errors has been gradually affirmed, and more people begin to pay attention to the educational value of problem-solving errors. As the core content of plane analytic geometry, conic curve is the focus and difficulty of senior high school students' mathematics study, and also the key point of college entrance examination. The investigation of the problem solving errors in the conic curve of senior two students shows that there are some problems in learning conic curve, and there are many errors in solving the related problems. However, there is a lack of investigation and research on conic curve problem solving errors in domestic and foreign research. In this study, questionnaire, interview, test paper analysis and data processing with Excel were used to investigate the problem solving errors of the sophomore students. There are six chapters in this thesis. Chapter 1 is the introduction. This paper mainly introduces the background and significance of the research, the main problems and the basic structure of this paper. Chapter 2 is a literature review. This paper provides a guide for the writing of this paper by combing and summing up the research materials about problem-solving errors at home and abroad. Chapter 3 is the research method. This paper mainly introduces the research object, research contents, research methods and research tools adopted in this paper, and introduces the analytical framework of mathematical problem solving errors: knowledge error, logical error, and so on. Strategic and negligent mistakes. Chapter 4 is the investigation and analysis of conic problem solving errors. This chapter mainly carries on two aspects of investigation and research: on the one hand, it is the investigation of teachers and students' understanding of problem solving errors; on the other hand, it classifies the errors in solving problems related to conic curves in senior two students. The causes of different types of errors are analyzed. Chapter 5 is the principle and suggestion of correcting the problems of conic curve of senior two students. In view of the main mistakes in the learning of conic curve, teachers should follow the three principles of timeliness, pertinence and subjectivity in correcting students' errors, and put forward some suggestions to help students set up a proper view of mistakes and pay attention to the analysis of students' mistakes. Treat different types of problem-solving errors, pay attention to the cultivation of students' good problem-solving habits, and guide students to make good use of the five error-correcting suggestions. Chapter 6 is conclusion and reflection. This part summarizes the conclusions of the research around the main problems of this paper, and points out the shortcomings of this study and the direction of future research.
【学位授予单位】：陕西师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
本文编号：2149878
[Abstract]:It is normal for students to solve problems and make mistakes in the process of learning mathematics. But in the process of teaching, teachers hope to help students understand mathematics thoroughly and make fewer mistakes or no mistakes, so as to improve the efficiency of learning. In recent years, the rationality of problem-solving errors has been gradually affirmed, and more people begin to pay attention to the educational value of problem-solving errors. As the core content of plane analytic geometry, conic curve is the focus and difficulty of senior high school students' mathematics study, and also the key point of college entrance examination. The investigation of the problem solving errors in the conic curve of senior two students shows that there are some problems in learning conic curve, and there are many errors in solving the related problems. However, there is a lack of investigation and research on conic curve problem solving errors in domestic and foreign research. In this study, questionnaire, interview, test paper analysis and data processing with Excel were used to investigate the problem solving errors of the sophomore students. There are six chapters in this thesis. Chapter 1 is the introduction. This paper mainly introduces the background and significance of the research, the main problems and the basic structure of this paper. Chapter 2 is a literature review. This paper provides a guide for the writing of this paper by combing and summing up the research materials about problem-solving errors at home and abroad. Chapter 3 is the research method. This paper mainly introduces the research object, research contents, research methods and research tools adopted in this paper, and introduces the analytical framework of mathematical problem solving errors: knowledge error, logical error, and so on. Strategic and negligent mistakes. Chapter 4 is the investigation and analysis of conic problem solving errors. This chapter mainly carries on two aspects of investigation and research: on the one hand, it is the investigation of teachers and students' understanding of problem solving errors; on the other hand, it classifies the errors in solving problems related to conic curves in senior two students. The causes of different types of errors are analyzed. Chapter 5 is the principle and suggestion of correcting the problems of conic curve of senior two students. In view of the main mistakes in the learning of conic curve, teachers should follow the three principles of timeliness, pertinence and subjectivity in correcting students' errors, and put forward some suggestions to help students set up a proper view of mistakes and pay attention to the analysis of students' mistakes. Treat different types of problem-solving errors, pay attention to the cultivation of students' good problem-solving habits, and guide students to make good use of the five error-correcting suggestions. Chapter 6 is conclusion and reflection. This part summarizes the conclusions of the research around the main problems of this paper, and points out the shortcomings of this study and the direction of future research.
【学位授予单位】：陕西师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
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1 冯竹林;初中学生数学解题错误的调查与研究[D];云南师范大学;2009年
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