高中生数学建模能力培养研究

发布时间：2018-06-17 14:49

本文选题：高中数学建模 + 能力培养　；参考：《湖南科技大学》2017年硕士论文

【摘要】：人们对数学的急切需要促进了应用数学的飞速发展,而数学教育向数学应用发展的趋势也更明显。新课标纳入数学建模,并对其提出原则性的要求与建议,高考中应用性问题的地位也逐渐提升,但培养高中生数学建模能力的要领却没掌握,这便是本文研究的重点。本文第一章主要介绍了论文的研究背景、研究意义、研究目标、研究方法以及国内外数学建模的研究现状,提出本文的研究问题。第二章是对本文所研究的问题高中数学建模能力进行综述,其中对高中数学建模能力的定义以及水平的划分是参考了国外数学家Heibeit和Mike keune、国内的徐稼红教授和徐斌艳教授的成果。另外从三个方面提出培养高中生数学建模能力的重要性,其中数学建模在历届高考试题中的体现是本人对从2010年以来近七年全国各地的117套高考试题进行了搜集,对此中与数学建模有关的高考题即应用性问题进行了统计整理,最后,总结高中数学建模的一些常用方法并以例题做出示范。第三章,主要是论述高中数学建模教学的现状并通过问卷调查的方式从学生、教师两个视角找到高中生数学建模能力培养中存在的问题并进行分析和得到启示。第四章是结合高中数学建模能力的调查,针对我国高中数学建模的现状提出高中生数学建模能力培养的教学策略,是本文的重中之重。最后第五章则是从具体实际教学中分成高中教材中的专题教学和常态教学两个方面进行了数学建模案例分析。
[Abstract]:The urgent need for mathematics has promoted the rapid development of applied mathematics, and the trend of mathematics education towards mathematics application is more obvious. The new curriculum standard is brought into mathematical modeling, and puts forward the request and suggestion of principle to it. The status of application problem in college entrance examination is also raised gradually, but the key point of cultivating mathematics modeling ability of senior high school students is not grasped, which is the key point of this paper. The first chapter mainly introduces the research background, research significance, research objectives, research methods and the current situation of mathematical modeling at home and abroad, and puts forward the research problems of this paper. The second chapter is a summary of the mathematical modeling ability of senior high school. The definition and level of mathematical modeling ability in senior high school refer to the achievements of foreign mathematicians Heibeit and Mike Keune. Professor Xu Jia-hong and Professor Xu Binyan in China. In addition, the importance of cultivating high school students' mathematical modeling ability is put forward from three aspects, among which the mathematical modeling is reflected in the collection of 117 sets of college entrance examination questions from nearly seven years since 2010. Finally, the paper summarizes some common methods of mathematical modeling in senior high school and demonstrates them with examples. The third chapter mainly discusses the present situation of mathematics modeling teaching in senior high school and finds out the problems existing in the cultivation of mathematics modeling ability of senior high school students from the perspectives of students and teachers through questionnaire survey. The fourth chapter is to combine the high school mathematics modeling ability investigation, according to our country high school mathematics modeling present situation proposed the high school mathematics modeling ability cultivation teaching strategy, is this article the most important. In the fifth chapter, the mathematical modeling cases are analyzed from the aspects of special topic teaching and normal teaching in high school textbooks.
【学位授予单位】：湖南科技大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6

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