数学建模思想融入高中函数教学的实践研究

发布时间：2018-02-01 16:58

本文关键词： 数学建模数学建模思想数学建模教学函数教师成长　出处：《湖南师范大学》2015年硕士论文　论文类型：学位论文

【摘要】：数学中的基本特征是,它有着广泛的应用。随着科学技术和生活水平的不断发展,应用数学显得愈发重要,应用数学的地位也随之提升。数学来源于人们在生活实际的需要,建模问题常发生在我们身边,如何将数学建模思想融入到高中教学中成了教师和学生面临的重要问题。在高中函数教学中融入数学建模思想对培养学生数学应用意识和探究能力都具有重要意义。本文首先分析了数学课堂和数学建模思想融入主干课程的现状,然后通过数学建模实践研究,讨论了将数学建模思想融入高中函数教学的必要性和可行性,论证了将数学建模思想融入高中函数教学是目前培养学生建模思想、提高学生数学应用意识行之有效的方法之一。从对学生的问卷调查中了解到,学生对诸如淋雨问题等与现实生活联系紧密的数学问题颇感兴趣,对了解数学建模思想及方法并用之解决生活中的抽象问题有了浓厚的兴趣。从教师的访谈中了解到,教师认为数学应该是建模的数学,希望通过简单的建模活动传播数学建模思想,培养学生的探究能力和思维创造力,努力通过多种途径将数学建模思想融入到高中的函数教学中。在此基础上,主要研究了基本函数教学中的数学建模及其应用的典型,并提出了几点在高中函数教学课堂中有效融入建模思想的建议和方法。
[Abstract]:The basic characteristic of mathematics is that it has a wide range of applications. With the continuous development of science and technology and living standards, applied mathematics becomes more and more important. The status of applied mathematics is also rising. Mathematics comes from the needs of people in life, and modeling problems often occur around us. How to integrate mathematical modeling ideas into high school teaching has become an important problem for teachers and students. Firstly, this paper analyzes the current situation of mathematics classroom and mathematical modeling thinking in the backbone curriculum. Then through the practical research of mathematical modeling, the necessity and feasibility of integrating mathematical modeling ideas into function teaching in senior high school are discussed, and it is demonstrated that it is the cultivation of students' modeling ideas to integrate mathematical modeling ideas into function teaching in senior high schools. One of the effective ways to improve students' awareness of mathematics application. From the questionnaire survey, we know that students are interested in mathematical problems closely related to real life, such as rain problems. There is a strong interest in understanding mathematical modeling ideas and methods and using them to solve abstract problems in life. From the interviews with teachers, we can see that teachers believe that mathematics should be the mathematics of modeling. I hope to spread mathematical modeling ideas through simple modeling activities, cultivate students' inquiry ability and thinking creativity, and try to integrate mathematical modeling ideas into the function teaching of senior high school through various ways. On this basis. This paper mainly studies mathematical modeling and its application in the teaching of basic functions, and puts forward some suggestions and methods for integrating modeling ideas into the teaching of functions in senior high school.
【学位授予单位】：湖南师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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