中学数学建模教与学

发布时间：2018-02-09 07:16

本文关键词： 数学建模中学数学教与学　出处：《福建师范大学》2003年硕士论文　论文类型：学位论文

【摘要】： 教育乃至数学教育到底能给人带来什么?至少有更多的知识和能力帮助受教育者解决他们所面临的问题。传统的(数学)教育过分要求学生记忆书本知识或解决有固定答案可循的书本问题，只能对分析性思维有效果外，而对发生在受教育者身边的具体应用性问题所需的创造性思维和实践性思维却收效甚微(Sternberg)。这与数学的应用价值越来越得到大家的重视、教育界普遍关注用数学知识解决实际问题形成强烈的反差。培养学生适应社会且为社会解决实际问题做出贡献乃是教育的最终目的。其中利用建立数学模型解决问题的数学建模教学从国外到国内，从大学到中学，越来越成为数学教育改革的一个热点。本文对中学数学建模的教与学作了一个简要的综述，重点在第四、五、六部分，围绕中学数学建模从内容、学生和教师即数学教育的三要素进行讨论：在引言中用两个例子说明了目前教育的部分弊病和原因；第二部分从国内外的数学教育改革引出中学数学建模教学与活动；第三部分介绍了原型与数学模型的关系、数学模型及有关概念；第四部分介绍了数学建模的定义、在中学的运用、数学建模步骤原则与方法、中学数学建模的内容与现状简介以及它和应用题的区别；第五部分从数学学习的心理认知理论角度讨论中学数学建模，，并且把它扩大到问题的解决；第六部分详细讨论了中学数学建模的教学活动与教学模式；第七部分在小范围内进行跟踪实验及其数据分析；第八部分为结束语。本文的写作得到了福建师范大学数学系张胜元博士的热心指导，在此表示衷心的感谢!
[Abstract]:Education and mathematics education in the end can bring what? At least have more knowledge and ability to help the educated to solve their problems. The traditional (Mathematics) education demanding students memory book knowledge or solve the problem of fixed answer books to follow, only to have the effect of analytical thinking, and the occurrence of in the specific application of the problem of education around the creative thinking and practical thinking has little effect (Sternberg). The application value of mathematics and attracted more and more attention and widespread concern in the education sector using mathematical knowledge to solve practical problems and form a strong contrast. Students adapt to the society and solve the practical problems make to the society the contribution is the ultimate goal of education. The teaching of mathematical modeling which is established by using mathematical model to solve the problem from foreign to domestic, from the university to the school, becoming number A hot spot in the reform of education.
In this paper, and learning in middle school mathematics modeling teaching is briefly summarized, focusing on the fourth, fifth, the six part focuses on mathematical modeling of middle school from the content, discusses the three factors of students and teachers that mathematics education: explaining the disadvantages and the current education reasons by two examples in the introduction; the second part leads to mathematics modeling of middle school teaching and activities from the reform of mathematics education at home and abroad; the third part introduces the relationship between the prototype and the mathematical model, mathematical model and relevant concepts; the fourth part introduces the definition of mathematical modeling in high school by using the principles and methods of mathematical modeling, steps, contents and current situation of mathematics modeling and the difference between it and the application the fifth part; cognitive psychology theory from the perspective of mathematics learning about mathematical modeling in middle school, and to solve the problem of expanding it into sixth parts are discussed in detail; The teaching activities and teaching modes of mathematics modeling in middle school; the seventh part carries on the tracking experiment and the data analysis in the small scope; the eighth part is the end language.
The writing of this article has been directed by Dr. Zhang Shengyuan of the Department of mathematics of Fujian Normal University.

【学位授予单位】：福建师范大学
【学位级别】：硕士
【学位授予年份】：2003
【分类号】：G633.6

【引证文献】