Maple在高中数学教学中的应用

发布时间：2019-06-29 10:12

【摘要】：目前,信息技术辅助教学在我国中小学已经得到广泛普及,为教学提供了巨大便利。但课堂中使用的信息技术工具五花八门,如内容演示用的是PPT软件,运算用的是计算器,绘制函数图象用的是几何画板等等,许多教师对其眼花缭乱,望而却步。因此,我们是否考虑引入一款集成以上多种功能并且更加易学好用的软件支持高中数学教学呢?本文在建构主义学习理论的指导下,探索数学软件Maple在高中数学教学中的应用,本文包含以下七个部分。第一部分绪论,首先阐述论文的研究背景,引出数学软件Maple。其次介绍Maple在国内的研究现状,最后是本文的研究内容、研究方法以及研究意义。第二部分基础知识,首先介绍Maple软件及其特点,其次阐述本文的理论研究基础,介绍建构主义学习理论和数形结合思想。第三部分首先以PPT,几何画板、计算器等课堂常用软件作为比较对象,从内容演示、绘图、运算、编程四点阐述Maple软件拥有的教学优势。其次,从算法、函数、导数、线性规划问题、统计概率等课程内容方面,阐述了传统教学难以呈现的教学难点,分析了Maple是如何对这些教学内容进行整合的。第四部分设计了8个具体教学案例详细阐述Maple是如何融入教学、解决教学难点。第五部分从课堂气氛对比、学生问卷调查、课后作业成绩对比、教师访谈四个方面评估Maple的教学效果,验证了Maple是一款良好的教学辅助工具。第六部分总结了Maple辅助教学的几点原则,然后从新授课和习题课两方面说明Maple应用于高中数学教学的途径。第七部分总结本文主要内容,并指出存在的不足。本文将以Maple为例的数学软件引入高中数学教学中,深入研究Maple和数学教学的融合方式,取得了较好的效果,希望能为信息技术与高中数学教学整合之路提供一些有益的帮助。
[Abstract]:At present, information technology assisted instruction has been widely popularized in primary and secondary schools in China, which provides great convenience for teaching. However, there are a variety of information technology tools used in the classroom, such as PPT software for content demonstration, calculator for operation, geometric drawing board for drawing function images, and so on. Many teachers are dazzling and deterred. Therefore, are we considering introducing a software that integrates the above functions and is easier to learn and use to support high school mathematics teaching? Under the guidance of constructivism learning theory, this paper explores the application of mathematics software Maple in senior high school mathematics teaching. This paper consists of the following seven parts. The first part is the introduction, which first expounds the research background of the paper and leads to the mathematical software Maple.. Secondly, it introduces the research status of Maple in China, and finally, the research content, research methods and significance of this paper. The second part is the basic knowledge, which first introduces the Maple software and its characteristics, then expounds the theoretical research basis of this paper, and introduces the constructivism learning theory and the combination of numbers and shapes. In the third part, PPT, geometric drawing board, calculator and other common classroom software are taken as the comparative object, and the teaching advantages of Maple software are expounded from four aspects: content demonstration, drawing, operation and programming. Secondly, from the aspects of algorithm, function, derivative, linear programming problem, statistical probability and other courses, this paper expounds the teaching difficulties that traditional teaching is difficult to present, and analyzes how Maple integrates these teaching contents. The fourth part designs eight concrete teaching cases to explain in detail how to integrate Maple into teaching and solve the teaching difficulties. The fifth part evaluates the teaching effect of Maple from four aspects: classroom atmosphere comparison, student questionnaire survey, after-class homework score comparison and teacher interview, and verifies that Maple is a good teaching auxiliary tool. The sixth part summarizes some principles of Maple assisted instruction, and then explains the ways of applying Maple to mathematics teaching in senior high school from two aspects of new teaching and exercises. The seventh part summarizes the main content of this paper and points out the shortcomings. In this paper, the mathematical software, which takes Maple as an example, is introduced into the mathematics teaching of senior high school, and the fusion mode of Maple and mathematics teaching is deeply studied, and good results are obtained. It is hoped that it can provide some useful help for the integration of information technology and mathematics teaching in senior high school.
【学位授予单位】：广州大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6

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