高中函数教学研究

发布时间：2018-01-13 23:26

本文关键词：高中函数教学研究　出处：《辽宁师范大学》2015年硕士论文　论文类型：学位论文

【摘要】：函数是高中数学的重要内容,更是整个数学课程学习的重中之重.它不仅是高中数学学习的主线之一,更是贯穿于整个数学内容始终的一条最重要的主线.纵观多年高考试题,函数知识的考察是亘古不变的热点与重点问题.此外,函数与其他内容如方程、不等式、导数与极限等息息相关,并且函数知识更是高等数学中如集合论、泛函分析、常微分与偏微分方程等数学内容的基石,因此对函数教学的研究是必要且重要的.因函数内容的多样性,高考试题的重视程度,以及其与其他数学知识错综复杂的联系,所以函数教学不仅是高中数学教学中的重点,更是高中数学教学中的难点.本文主要采用文献研究法,研究并借鉴了大量的有关函数教学的书籍与文章,并根据自己的教育实习的感知与经验,从多方面对高中函数教学进行了阐述.首先,本文从函数的起源与发展论述函数教学的背景.其次,从函数本身的特性及其与其他内容水溶交融的联系出发,论述了函数是高中数学教学的重点与难点.接着,对函数本身的概念与性质及其教学方法进行了阐述.再次,就如何从函数的角度研究其他数学内容入手,具体阐述了函数与其他数学内容的关系,并给出了对应的习题,让读者认识到函数与其他内容是相互交织无法分离的.最后,笔者结合自己的教育实践的认知与经验给出了几点关于高中函数教学的建议与意见.加强高中函数教学,不仅可以迎合学生迫切提高自己高考成绩的真实需求,更是从提高学生学习数学思想与方法的高度着眼,切实地提升了学生对函数以及整个数学知识与脉络的理解与掌握,进一步培养了学生辩证的逻辑思维,让学生学会如何更加系统、更加全面地思考问题,从而学生就可以懂得怎样用数学思维去学习数学,具备更快更准确地发现问题、思考问题并解决问题的能力.
[Abstract]:Function is an important part of senior high school mathematics, and it is also the most important part of the whole mathematics curriculum. It is not only one of the main lines of mathematics learning in senior high school. Throughout the whole mathematics content is the most important main line. Throughout many years of college entrance examination questions, functional knowledge is an everlasting focus and key issues. In addition, functions and other content such as equations. Inequality, derivative and limit are closely related to each other, and the knowledge of function is the cornerstone of mathematics in higher mathematics such as set theory, functional analysis, ordinary differential equation and partial differential equation. Therefore, the study of function teaching is necessary and important. Due to the diversity of function content, the importance of college entrance examination questions, and its complicated relationship with other mathematical knowledge. Therefore, function teaching is not only the focus of high school mathematics teaching, but also the difficulty of high school mathematics teaching. This paper mainly uses literature research method to study and learn from a large number of books and articles about function teaching. And according to their own perception and experience of educational practice, from many aspects of the function teaching in senior high school are expounded. First, this paper discusses the background of function teaching from the origin and development of function. Second, this paper discusses the background of function teaching from the origin and development of function. Starting from the characteristics of function itself and its connection with other contents of water solution, this paper discusses that function is the key and difficult point of mathematics teaching in senior high school. The concept and nature of function itself and its teaching methods are expounded. Thirdly, the relationship between function and other mathematical contents is expounded in detail, starting with the study of other mathematical contents from the point of view of function. And gives the corresponding exercises, let the reader realize that the function and other contents are intertwined and inseparable. Finally. Combining with my own cognition and experience of educational practice, the author gives some suggestions and opinions on function teaching in senior high school. Strengthening function teaching in senior high school can not only meet the real needs of students who are eager to improve their scores in college entrance examination. From the perspective of improving the students' thinking and methods of learning mathematics, it improves the students' understanding and mastery of function and the whole mathematical knowledge and context, and further cultivates the students' dialectical logical thinking. Students can learn how to think more systematically and comprehensively, so that they can learn how to use mathematical thinking to learn mathematics, and have the ability to find problems, think problems and solve problems more quickly and accurately.
【学位授予单位】：辽宁师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

【相似文献】