高中生数学解题规范性错误研究

发布时间：2018-01-20 23:32

本文关键词： 高中生数学解题规范性错误　出处：《华中师范大学》2015年硕士论文　论文类型：学位论文

【摘要】：本文主要通过调查高中生数学解题中出现的规范性错误,对高中生数学解题中出现的规范性错误进行分类并分析各类解题规范性错误的成因,最后基于规范性错误的成因提出几点改正数学解题规范性错误的对策,本文共分为五个部分：第一部分为问题的提出,笔者通过自己和一些一线优秀教师的教学经验对当前高中生数学解题的规范性现状进行分析,然后提出了本文研究的主要问题并对研究的必要性进行了说明。第二部分为定义核心概念,主要是对数学解题规范性错误的定义。笔者结合实习中在对高中生平时作业、试卷的批改中发现的规范性错误和其他一线优秀教师的教学经验,将高中生数学解题中的规范性错误进行分类定义,主要分为解题书写上的规范性错误(包括书写过程中的规范性错误、书写格式上的规范性错误、数学语言使用上的规范性错误)、三角函数中的规范性错误、概率统计中的规范性错误、立体几何中的规范性错误、数列中的规范性错误、解析几何中的规范性错误和函数导数中的规范性错误。第三部分为通过对高中生三个班的学生进行问卷调查,对解题规范性错误的成因进行分析。第四部分为笔者结合自身教育经验和其它优秀数学老师的教学建议,给出了三条改正数学解题规范性错误的对策。第五部分为研究不足及展望。
[Abstract]:This paper mainly through the investigation of senior high school students in mathematical problems in the normative errors, mathematical problems in senior high school students to classify the normative errors and analyze the causes of all kinds of normative errors in solving problems. Finally, based on the causes of normative errors, the author puts forward some countermeasures to correct the normative errors in mathematical problems. This paper is divided into five parts: the first part is the problem. The author analyzes the current normative situation of senior high school students' mathematics problem solving through their own teaching experience and some first-line excellent teachers' teaching experience. Then the paper puts forward the main problems and explains the necessity of the research. The second part is the definition of the core concept. The author combines the normative errors found in the practice of senior high school students in normal assignments, examination papers and other first-line excellent teachers' teaching experience. The normative errors in the mathematical problem solving of senior high school students are classified into normative errors (including normative errors in the process of writing and normative errors in the writing format). Normative errors in the use of mathematical languages, normative errors in trigonometric functions, normative errors in probability and statistics, normative errors in solid geometry, and normative errors in sequence of numbers. The normative errors in analytic geometry and the normative errors in the derivative of function. The third part is the questionnaire survey of the students in the three classes of senior high school students. The author analyzes the causes of normative errors in solving problems. Part 4th is the author's teaching suggestions combined with his own educational experience and other excellent mathematics teachers. Three countermeasures are given to correct the normative errors in mathematical problem solving. Part 5th is the research deficiency and prospect.
【学位授予单位】：华中师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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