高中数学建模教学探究

发布时间：2018-02-12 23:57

本文关键词： 数学建模教学策略教学案例　出处：《辽宁师范大学》2015年硕士论文　论文类型：学位论文

【摘要】：当今世界是信息科技的时代,数学科学在科技发展中起的作用越来越大,科技进步也为数学应用提供更加广阔的空间。随着数学在科技领域中的普遍应用,数学建模越发受到人们的关注,在课堂中包含数学建模知识已成为广泛的共识。起初,我国在大学本科阶段开设了数学建模课程,并通过数学建模大赛的方式鼓励学生学习数学建模课程,参与数学建模活动。我国在2003年发布的《新课程标准》中明确指出,要将数学建模教学引入高中学习课堂,并通过建模教学来逐步培养学生的数学应用意识和创新能力。虽然我国高中阶段数学建模活动己经起步,但在教学实施过程中仍存在着许多需要迫切解决的问题。本文主要探究方向是当前高中数学建模教学中存在的问题及教学策略(学生的问题),并在进一步研究的基础上给出了恰当的教学案例。本文从五个不同方面进行探究,第一部分探讨了数学模型与数学建模的基本概念,介绍一些国内外数学建模发展概况以及本文研究价值;第二部分从新课标、教育教学两个角度探讨了高中数学建模教学的理论依据;第三部分从学生与教师两个层面调查了当前高中数学建模教学实施情况,并通过分析调查结果数据,得出一些相应的结论;第四部分探讨了教材中体现建模思想的内容及当前建模教学存在的问题;第五部分对高中数学建模教学从理论与操作两方面进行研究,获得一些结论,同时给出数学建模教学案例。笔者希望通过本文的研究能为高中数学建模教学提供一些理论与实际参考。
[Abstract]:The world is an era of information technology, and the role of mathematical science in the development of science and technology is becoming more and more important, and the progress of science and technology also provides a wider space for the application of mathematics. With the widespread application of mathematics in the field of science and technology, More and more attention has been paid to mathematical modeling, and it has become a common understanding to include mathematical modeling knowledge in the classroom. At first, the course of mathematical modeling was offered in our country at the undergraduate level. Students are encouraged to learn mathematical modeling course and participate in mathematical modeling activities through mathematics modeling contest. In 2003, our country issued the New Curriculum Standard, which clearly pointed out that the teaching of mathematical modeling should be introduced into the learning class of senior high school. And through modeling teaching to gradually cultivate students' awareness of mathematics application and innovative ability. Although the mathematics modeling activities in senior high school in our country have already started, However, there are still many problems that need to be solved urgently in the course of teaching implementation. The main research direction of this paper is the existing problems and teaching strategies in the current mathematics modeling teaching in senior high school. On the basis of this, the appropriate teaching cases are given. The first part discusses the basic concepts of mathematical model and mathematical modeling, introduces some domestic and foreign mathematical modeling development and research value of this paper. The third part investigates the current implementation of mathematical modeling teaching in senior high school from the two aspects of students and teachers, and analyzes the data of the results of the investigation. Part 4th discusses the content of modeling thought and the problems existing in the current teaching of modeling. Part 5th studies the theory and operation of mathematical modeling teaching in senior high school, and obtains some conclusions. At the same time, the teaching cases of mathematical modeling are given. The author hopes that the research in this paper can provide some theoretical and practical references for the teaching of mathematical modeling in senior high school.
【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

【参考文献】