基于几何画板的高中数学实验应用探索

发布时间：2018-06-25 14:24

本文选题：几何画板 + 数学实验　；参考：《河南大学》2015年硕士论文

【摘要】：高中数学教育对学生的发展起着至关重要的作用,它实施的水平在很大程度上影响着学生的各项能力发展。当前高中数学传统教学由于种种原因出现了学生厌学、学习效率不高、学生动手能力低下、学生升学压力大等诸多现象,使得传统教学方式和教学关系遭到诸多家长和教育界人士的质疑。相比传统教学思想来说,基于计算机软件基础之上的数学实验具有数形结合、使用简便、灵活探索的特点,它把教师的“教”和“导”结合起来,学生的“手”和“脑”结合起来,学生的“正式学习”和“非正式学习”结合起来,既是一种深度探究性学习方式,又属于一种全新的教学模式,它它为高中数学教学开拓新的教学模式提供了方向。作为数学实验的一种支持平台,几何画板是一款优秀的教学软件,它具有强大的作图和演示功能,能够实现图形的动静、虚实变化,选择它开展数学实验教学,无疑是最适合的教学工具。微课是新媒体时代下一种独特的教育资源,具有时间短、内容集中和感官元素丰富的特点,把微课引入数学实验教学,利用它碎片化学习、趣味性、集中解决问题的优势,教师可以制作包括重点和错点在内的“经典探索”式微课帮助学生课外自主实验,实现对数学实验思想的多元化、具体化、深层化应用。基于此,本文采用文献研究法、问卷调查法、实验研究法、案例研究法、访谈研究法,深入教学实践,探讨并验证数学实验教学的教学效果和得出数学实验教学的几点结论。研究中笔者在查阅、收集、整理一系列相关资料的基础上得出基于几何画板的高中数学实验的研究现状,并在实践调查的基础上进一步明确了研究思路、内容、目的和意义。论文中笔者先对本论文中的重要概念和相关理论基础做出了解释,进一步对高中数学实验的必要性和可行性做出了论证;然后,结合前人研究对数学实验形式进行重新分类,即为穿插式数学实验、数学实验课、基于“经典探索”式微课支持的课外自主实验,论文把这三类实验作为重点进行详细阐述还辅以案例应用,揭示各种形式数学实验的进行过程;又对教学实践后收回的信息反馈进行数据分析和整理得出数学实验教学效果,即数学实验不仅对学生的成绩产生积极影响,还对学生的综合能力提升以及教师的综合素质提升产生帮助作用。最后本研究形成了以下几点结论:基于几何画板的高中数学实验教学能够激发学生的学习兴趣;能够锻炼学生的思维能力、非逻辑思维能力、交往能力、合作能力以及动手操作能力;能够创造良好的学习氛围,培养学生的探究性学习能力,教给学生科学的学习方法;有助于改善传统师生关系从而创建新型教学关系;有助于改进教师观念,提高教师教育技术能力;形成一种新的基于几何画板的高中数学实验教学模型。
[Abstract]:High school mathematics education plays a vital role in the development of students, and the level of its implementation affects the development of students' abilities to a great extent. At present, due to various reasons, the traditional teaching of mathematics in senior high school appears many phenomena, such as students are tired of learning, the study efficiency is not high, the students' practical ability is low, and the pressure on students to go to higher education is great. The traditional teaching method and teaching relationship have been questioned by many parents and educators. Compared with traditional teaching ideas, mathematical experiments based on computer software have the characteristics of combination of numbers and shapes, easy to use and flexible exploration, which combine "teaching" and "guidance" of teachers. The combination of "hands" and "brains" of students, "formal learning" and "informal learning" of students is not only a kind of deep inquiry learning method, but also a new teaching mode. It provides the direction for the high school mathematics teaching to open up the new teaching mode. As a support platform for mathematical experiments, geometric Sketchpad is an excellent teaching software, it has powerful drawing and demonstration functions, can realize the movement of graphics, virtual changes, choose it to carry out mathematical experiment teaching. Is undoubtedly the most suitable teaching tool. Microlesson is a unique educational resource in the new media age, which has the characteristics of short time, concentrated content and abundant sensory elements. The microcourse is introduced into the mathematics experiment teaching, and the advantages of piecewise learning, interesting and concentrated problem-solving are used. Teachers can make "classic exploration" micro-courses, including key points and mistakes, to help students to carry out extracurricular independent experiments and realize the diversification, concretization and deep application of mathematical experimental ideas. Based on this, this paper adopts literature research, questionnaire, experimental research, case study, interview research, in-depth teaching practice, discusses and verifies the teaching effect of mathematical experimental teaching and draws several conclusions of mathematical experimental teaching. On the basis of consulting, collecting and arranging a series of related materials, the author draws the research status of high school mathematics experiment based on geometric drawing board, and further clarifies the research idea, content, purpose and significance on the basis of practical investigation. In this paper, the author first explains the important concepts and related theoretical basis in this paper, and further demonstrates the necessity and feasibility of the mathematical experiment in senior high school. Then, combined with previous studies, the author reclassifies the mathematical experimental forms. That is, in order to interspersed mathematical experiment, mathematical experiment class, based on the "classic exploration" micro-course support of extracurricular independent experiments, the thesis focuses on these three experiments as the focus of the detailed elaboration of the case application, This paper reveals the process of mathematics experiment in various forms, and analyzes the data of information feedback after teaching practice, and concludes the teaching effect of mathematics experiment, that is, mathematics experiment not only has a positive effect on the students' achievement, but also has a positive effect on the students' achievement. It also helps to improve students' comprehensive ability and teachers' comprehensive quality. Finally, the following conclusions are reached: high school mathematics experiment teaching based on geometric drawing board can stimulate students' interest in learning, can train students' thinking ability, non-logical thinking ability, communication ability, and so on. It can create a good learning atmosphere, cultivate students' inquiry learning ability, teach students scientific learning methods, help to improve the traditional teacher-student relationship and thus create a new teaching relationship. It is helpful to improve teachers' concept, improve teachers' educational technical ability and form a new high school mathematics experiment teaching model based on geometric drawing board.
【学位授予单位】：河南大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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