初中数学建模教学情况的调查研究
发布时间：2018-11-07 11:36
【摘要】：现今初中生繁重的学业负担、学校重考试成绩而轻视学生的综合素质的现象使得许多的数学教学变成了套公式、定理解题的模式。学生懂得如何根据题型选择合适的解题方式,但是对于数学知识本身的应用价值却所知甚少。这样的数学学习不仅降低了学生学习数学的积极性,而且抑制了学生创造力与应用数学知识解决问题的能力。所以如何在初中数学教学中体现数学建模思想,使学生用数学的眼光看世界就显得十分重要。因此,本文立足初中数学教学的实际情况,以在常态课中渗透数学建模思想为目的,系统地调查分析初中数学建模教学的现状以及现状的原因,在此基础上研究数学建模融入教学的过程和方法。本文首先阐述了问题提出的实际背景和研究方法,梳理国内外研究成果,为研究奠定理论基础。其次对数学建模思想进行概念的界定,并从理论层面分析数学建模思想。第三章是本文的主要内容,借助调查的方式,基于初中数学的数学建模内容,通过调查、访谈等方式分析得到了初中数学建模教学以及学生学习的现状:大部分的初中生缺乏对于数学建模更进一步的认识,对于数学建模的活动很感兴趣,但是由于缺乏关于建模策略和过程的系统学习等因素,学生对于解决数学建模类问题的自我效能感比较低;数学建模能力的提高离不开对于数学基础知识的牢固掌握等;大部分教师对数学建模的渗透多采用提供数学建模类问题让学生思考的方式;教师进行的数学建模类教学,多数是以与课本密切相关的题型为依据的,较少地关注学生的生活实际。根据以上调查,笔者分别从学生对于数学建模的认知、学生的自我效能感、性别差异、学生的数学知识的掌握、教师对数学建模教学的认识、教学方式、考试评价等方面分析了现状产生的原因。第四章主要介绍了初中数学建模教学的方式方法,主要包括:常规教学、数学实践活动课以及数学写作。借助具体的例子,阐述了各种方法的特点以及需要注意的问题。第五章根据以上的调查结论进行了总结,并提出了相关建议。
[Abstract]:Nowadays, the heavy academic burden of junior high school students and the phenomenon that schools attach great importance to examination results and despise the students' comprehensive quality make many mathematics teaching become the mode of solving problems by using formulas and theorems. Students know how to choose the right way to solve problems according to the type of questions, but know little about the application value of mathematical knowledge itself. This kind of mathematics learning not only reduces the enthusiasm of students to learn mathematics, but also inhibits students' creativity and ability to solve problems by applying mathematical knowledge. Therefore, it is very important for students to look at the world from the point of view of mathematics, how to embody the idea of mathematical modeling in mathematics teaching in junior high school. Therefore, based on the actual situation of mathematics teaching in junior high school, this paper aims at infiltrating mathematical modeling ideas in normal classes, and systematically investigates and analyzes the present situation and reasons of mathematics modeling teaching in junior high schools. On this basis, the process and method of integrating mathematical modeling into teaching are studied. This paper first describes the practical background and research methods of the question, combing the domestic and foreign research results, to lay a theoretical foundation for the research. Secondly, the concept of mathematical modeling is defined, and the mathematical modeling idea is analyzed theoretically. The third chapter is the main content of this paper, with the help of the way of investigation, mathematics modeling content based on junior high school mathematics, through the investigation, Interviews and other methods of analysis of junior high school mathematics modeling teaching and learning situation: most junior high school students lack of further understanding of mathematical modeling, mathematical modeling activities are very interested, However, due to the lack of systematic learning on modeling strategies and processes, students' self-efficacy in solving mathematical modeling problems is relatively low. The improvement of mathematical modeling ability can not be separated from the solid grasp of the basic knowledge of mathematics, most teachers' infiltration of mathematical modeling mostly adopts the way of providing mathematical modeling problems for students to think about. Most of the mathematics modeling teaching carried out by teachers is based on the questions closely related to the textbook and pays less attention to the reality of students' life. According to the above investigation, the author analyzes students' cognition of mathematical modeling, students' sense of self-efficacy, gender difference, students' mastery of mathematical knowledge, teachers' understanding of mathematical modeling teaching, and teaching methods. Examination evaluation and other aspects of the analysis of the reasons for the status quo. The fourth chapter mainly introduces the methods of mathematics modeling teaching in junior high school, including routine teaching, mathematics practical activity class and mathematical writing. With the help of concrete examples, the characteristics of various methods and the problems needing attention are expounded. The fifth chapter summarizes the above conclusions and puts forward some relevant suggestions.
【学位授予单位】：南京师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6
本文编号：2316246
[Abstract]:Nowadays, the heavy academic burden of junior high school students and the phenomenon that schools attach great importance to examination results and despise the students' comprehensive quality make many mathematics teaching become the mode of solving problems by using formulas and theorems. Students know how to choose the right way to solve problems according to the type of questions, but know little about the application value of mathematical knowledge itself. This kind of mathematics learning not only reduces the enthusiasm of students to learn mathematics, but also inhibits students' creativity and ability to solve problems by applying mathematical knowledge. Therefore, it is very important for students to look at the world from the point of view of mathematics, how to embody the idea of mathematical modeling in mathematics teaching in junior high school. Therefore, based on the actual situation of mathematics teaching in junior high school, this paper aims at infiltrating mathematical modeling ideas in normal classes, and systematically investigates and analyzes the present situation and reasons of mathematics modeling teaching in junior high schools. On this basis, the process and method of integrating mathematical modeling into teaching are studied. This paper first describes the practical background and research methods of the question, combing the domestic and foreign research results, to lay a theoretical foundation for the research. Secondly, the concept of mathematical modeling is defined, and the mathematical modeling idea is analyzed theoretically. The third chapter is the main content of this paper, with the help of the way of investigation, mathematics modeling content based on junior high school mathematics, through the investigation, Interviews and other methods of analysis of junior high school mathematics modeling teaching and learning situation: most junior high school students lack of further understanding of mathematical modeling, mathematical modeling activities are very interested, However, due to the lack of systematic learning on modeling strategies and processes, students' self-efficacy in solving mathematical modeling problems is relatively low. The improvement of mathematical modeling ability can not be separated from the solid grasp of the basic knowledge of mathematics, most teachers' infiltration of mathematical modeling mostly adopts the way of providing mathematical modeling problems for students to think about. Most of the mathematics modeling teaching carried out by teachers is based on the questions closely related to the textbook and pays less attention to the reality of students' life. According to the above investigation, the author analyzes students' cognition of mathematical modeling, students' sense of self-efficacy, gender difference, students' mastery of mathematical knowledge, teachers' understanding of mathematical modeling teaching, and teaching methods. Examination evaluation and other aspects of the analysis of the reasons for the status quo. The fourth chapter mainly introduces the methods of mathematics modeling teaching in junior high school, including routine teaching, mathematics practical activity class and mathematical writing. With the help of concrete examples, the characteristics of various methods and the problems needing attention are expounded. The fifth chapter summarizes the above conclusions and puts forward some relevant suggestions.
【学位授予单位】：南京师范大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6
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