超级画板在中学圆锥曲线教学的应用行动研究

发布时间：2018-02-16 14:12

本文关键词： 超级画板圆锥曲线教学信息技术　出处：《华中师范大学》2015年硕士论文　论文类型：学位论文

【摘要】：圆锥曲线是我国中学数学的重要内容,但同时解析几何教学也是数学教学中的薄弱环节,学生对解析几何的概念、图像、性质及应用都存在一定的困难。在这一时代背景和现实教育背景下,本文通过研究超级画板支持下的中学解析几何教学,寻求超级画板在解析几何课堂教学方面的作用和优势。在本文中分为六章：第一章主要综述研究的背景和现状,目的和意义,这一章从信息技术与课程整合的国内和国外两个方面综述了研究的现状,以及研究方法和研究的意义以及新颖之处。第二章主要提出问题：信息技术与数学课程的整合的意义和要求,具体提出了要求的详细内容。第三章说明高中解析几何教学的教学要求和特点,高中解析几何教学内容比较抽象,根据教材的编排遵循“螺旋式上升”的理念,如何将信息技术与课程内容进行有机融合,以信息技术的动态化和直观化来突破圆锥曲线教学的难点。第四章讲述超级画板支持下的圆锥曲线概念教学,本章从圆锥曲线概念的导入和超级画板的有机结合开始,结合超级画板与椭圆、双曲线的概念有机融合,以折纸游戏的方式导入新课,引导在边玩的过程中学习。第五章介绍超级画板支持下的解题教学,以几个类型的题型引入如动圆的轨迹问题,圆锥曲线的包络,直线与圆锥曲线的交点个数的问题等等一些问题探究将超级画板融入圆锥曲线解题教学过程中,引导学生进行自主探究。第六章介绍教学实践过程,本章分为两个部分：一是教学调查,分别对实验学校的教学设施和教师和学生对超级画板融入教学的情感态度调查,获得一系列的实验数据,然后进行教学实践活动。第七章介绍了对本论文的总结和反思,着重提出了对研究的新的方向和不足之处和还需要后续改进的地方。圆锥曲线教学的特点非常适合用超级画板进行教学活动,这与超级画板的强大的动态演绎和交互功能是分不开的。
[Abstract]:Conic curve is an important part of mathematics in middle school of our country, but at the same time, the teaching of analytic geometry is also a weak link in mathematics teaching. There are some difficulties in nature and application. Under the background of this era and the realistic education background, this paper studies the teaching of analytic geometry in middle school supported by super drawing board. This paper is divided into six chapters: the first chapter mainly summarizes the background and current situation, purpose and significance of the research. This chapter summarizes the current situation of the research on the integration of information technology and curriculum both at home and abroad. The second chapter puts forward some questions: the significance and requirement of the integration of information technology and mathematics course. The third chapter explains the teaching requirements and characteristics of high school analytic geometry teaching, the teaching content of high school analytic geometry is abstract, according to the arrangement of teaching materials, it follows the idea of "spiral rise". How to combine information technology with curriculum content and break through the difficulty of conic teaching with the dynamic and intuitionistic of information technology. Chapter 4th describes the teaching of conic concept supported by super drawing board. This chapter begins with the introduction of conic concept and the organic combination of super drawing board, combining super drawing board with ellipse, hyperbolic concept, and introducing new lesson in the form of origami. Chapter 5th introduces the teaching of problem solving supported by Super Sketchpad, introducing several types of questions such as the trajectory problem of moving circle, the envelope of conic curve, Some problems such as the number of intersection points between straight Line and Conic Curve; the super drawing board is integrated into the teaching process of conic curve problem solving, and the students are guided to carry out independent inquiry. Chapter 6th introduces the teaching practice process. This chapter is divided into two parts: one is the teaching investigation, respectively, on the experimental school teaching facilities and teachers and students' emotional attitude towards the super board into teaching, and obtain a series of experimental data. Chapter 7th introduces the summary and reflection of this paper. Focusing on the new direction and shortcomings of the research and the areas that need further improvement. The characteristics of conic teaching are very suitable for teaching activities with super drawing board. This is inseparable from the powerful dynamic deduction and interactive features of the Super Sketchpad.
【学位授予单位】：华中师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6

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