本科毕业设计（论文）( 2014 届 )题 目： 提高中学生数学解题能力的途径（学 院：数理信息工程学院专 业：数学与应用数学学生姓名： 胡彬星学号：指导教师： 沈炎峰职称： 讲师合作导师：职称：完成时间：201 4 年 4 月 30 日—成绩：提高中学生数学解题能力的途径{目录摘要................................................................................................................................................... 2}一 巩固数学基本知识，夯实解题基石.......................................................................................3 巩固数学基本知识的重要性 ..................................................................................................... 3 巩固数学基本知识的方法 ......................................................................................................... 4 深刻理解数学知识的内涵和外延，明确其适用范围 ......................................................... 4 网络化系统化知识点，形成结构化知识 ............................................................................. 4 经常运用所学知识做到熟能生巧 ......................................................................................... 5 例子：正弦定理的证明 ......................................................................................................... 5二 加强审题能力培养，提高解题效率.......................................................................................8】培养学生认真审题的习惯 ......................................................................................................... 8 提高学生审题能力的策略 ......................................................................................................... 8 训练学生审题过程的规范性 ..................................................................................................... 9 三 掌握数学思想方法，提高解题技能.....................................................................................10 中学常用数学思想...................................................................................................................10 中学常用数学方法...................................................................................................................11 四 培养解题反思习惯，提高解题能力.....................................................................................13 五 结论 ........................................................................................................................................14…六 参考文献 ................................................................................................................................15(提高中学生数学解题能力的途径。

数理与信息学院 数学与应用数学专业 胡彬星（）指导老师：沈炎峰（讲师）摘要：数学家哈尔冥斯指出：“数学的真正组成部分是问题和解”。

他认为“数学家存在 的主要理由就是解决问题”。

美国著名数学家波利亚说过：“掌握数学意味着什么那就是善于 解题。

”可见，解题是数学的核心，也是教学活动的基本形式和主要内容。

要善于解题，就 要具有较强的解题能力。

数学中的解题能力就是综合运用数学础知识、基本思想方法和技能 以及逻辑思维规律，整体发挥数学基本能力进行分析和解决数学问题的能力。

显然，解题能 力是一种综合性能力。

而在当前，学生普遍存在上课听得懂，下课做作业无从下手的现象， 并且在几个学科中数学的平均分基本上都是最低的，说明了大部分的学生的解题能力不尽人 意，因此，培养学生的解题能力，是搞好中学数学教学，实现课程目标必不可少的重要环节。

为此，本文就提高学生解题能力的途径谈一些个人看法。

关键字：解题能力；审题；数学思想方法；反思Ways to Improve the Ability of Solving Math Problems in Middle School StudentsMathematics and Applied Mathematics, Zhejiang Normal UniversityHu Binxing ():Director: Shen Yanfeng (Lecturer)Abstract：The mathematician Hal Ming, said: "the real component of mathematics is problem of reconciliation". He believes that "the main reason for the problem is to solve the mathematician". America famous mathematician Polya said: "what it means to grasp of mathematics that is good at solving problems." Visible, problem solving is the mathematical core, basic form and teaching activities and the main content of. Be good at problem solving, it hasstrong ability of solving problems. In mathematics problem solving ability is the comprehensive use of mathematics basic knowledge, basic methods and skills and logical thinking pattern, the whole play basic mathematical ability of the ability to solve mathematical problems. Obviously, problem solving ability is a comprehensive ability. At present, most students are in class understand, do homework after class phenomenon not start, and mathematics in several disciplines in the average basically is the lowest, that most of the students' ability of solving problems is unsatisfactory, therefore, the cultivation of students' ability of solving problems, is to do a good job of middle school mathematics teaching, the essential link to realize the curriculum target. Therefore, in this paper, the way to improve the students' ability of solving problems about some personal views.Key Words：The ability of solving problems; Examines the topic； their mathematical thinking; reflection一 巩固数学基本知识，夯实解题基石巩固数学基本知识的重要性,数学基础知识是解题的基本要素。

所谓数学基础知识，是指数学教学大纲中要求掌握的 基本概念、定理、公式、定义、性质、法则等，它们是进行数学演算、推理、解题、论证的 重要依据。