数学建模思想融入中学数学课堂教学的实践研究

发布时间：2019-01-05 20:33

【摘要】：数学一直在人们的生产、生活中发挥着重要作用。随着社会的发展变革和信息技术的应用,数学的思想方法也越来越受到重视。数学建模作为解决实际问题的工具,也成为了数学教师和科学工作者面临的重要课题之一。数学建模思想融入中学数学课堂教学,具有重要的理论和实践价值。它有利于培养学生发现问题、分析问题、解决问题的意识,有利于培养学生的观察能力,抽象能力,自立能力,合作精神,有利于提高学生应用数学的能力和创新精神。本文主要在建构主义理论、元认知理论和人本主义理论指导下,针对我国的教学现状,对数学建模思想融入中学数学课堂的状况展开调查和实践研究,并对研究结果进行分析和提供建议。主要结构如下:第一章,绪论。介绍本文研究的背景、现状、意义、方法和框架。第二章,概述了模型的相关概念和研究的理论基础。主要介绍了数学建模及其思想的相关知识和数学建模思想融入中学数学课堂教学的理论基础。第三章,根据实证研究,介绍数学建模思想融入中学数学课堂教学的调查和实践。笔者在一学期实习期间,为了解数学建模思想现状及存在问题,选取实习学校两个教学班进行教学实践研究。教学前,对这两个班采用问卷进行调查分析;教学中,一个班常规教学,另一个班按照融入数学建模思想的教学设计,进行数学建模思想渗透教学;一学期结束时,对实验班和对照班进行应用测试、评分和分析。第四章,首先探讨了数学建模思想融入中学数学课堂教学的原则,然后结合自己的教学实践,列举了教学研究中的典型案例。第五章,对实践过程进行总结讨论,并探讨如何在中学课堂教学中更好地融入数学建模思想,也提出一些策略建议。第六章,研究的结论与不足。总结研究的结论与不足及对未来进行展望。
[Abstract]:Mathematics has always played an important role in people's production and life. With the development of society and the application of information technology, more and more attention has been paid to the thought method of mathematics. As a tool to solve practical problems, mathematical modeling has become one of the most important problems faced by mathematics teachers and scientists. It has important theoretical and practical value to integrate mathematical modeling ideas into middle school mathematics classroom teaching. It is helpful to cultivate students' consciousness of finding problems, analyzing problems, solving problems, cultivating students' observation ability, abstract ability, independence ability, cooperation spirit, and improving students' ability of applying mathematics and innovating spirit. Under the guidance of constructivism theory, metacognition theory and humanism theory, this paper investigates and studies the situation of mathematical modeling thinking in middle school mathematics classroom under the guidance of teaching situation in our country. The research results are analyzed and some suggestions are provided. The main structure is as follows: chapter one, introduction. This paper introduces the background, current situation, significance, methods and framework of this study. The second chapter summarizes the related concepts of the model and the theoretical basis of the research. This paper mainly introduces the theory foundation of mathematical modeling and its related knowledge and mathematical modeling thought in middle school mathematics classroom teaching. Chapter three, according to the empirical research, introduces the investigation and practice of mathematics modeling thought in middle school mathematics classroom teaching. In order to understand the present situation and existing problems of mathematical modeling, the author selected two classes in practice school to carry out teaching practice research. Before teaching, the two classes are investigated and analyzed by questionnaire. In the teaching, one class is regular teaching, the other class is based on the teaching design of mathematics modeling thought, the mathematics modeling thought permeates the teaching; At the end of the semester, the experimental class and the control class were tested, graded and analyzed. In the fourth chapter, the author first discusses the principles of mathematical modeling in middle school mathematics classroom teaching, and then enumerates the typical cases in teaching research combined with his own teaching practice. In the fifth chapter, the author summarizes and discusses the practical process, and discusses how to better integrate the mathematical modeling idea into the classroom teaching of middle school, and also puts forward some strategic suggestions. Chapter six, the conclusion and deficiency of the research. The conclusion and deficiency of the research and the prospect of the future are summarized.
【学位授予单位】：合肥师范学院
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6

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