基于GeoGebra的高中解析几何教学研究
发布时间：2018-10-25 14:58
【摘要】：解析几何知识在历年高考所占的分值都很大,但是学生对其概念的理解,数学结论的探究,却困难重重,导致解析几何课堂教学气氛不佳,学生学习积极性不高,教学效率低下.本文基于功能强大的动态几何软件GeoGebra,研究该软件在解析几何高中数学教与学中的应用,力图改善上述现状.通过文献梳理结合教学实践,笔者发现解析几何教学中一些不能令人满意的现状.利用GeoGebra对“直线与圆”和“圆锥曲线”两大章的教学内容进行教学设计,结合课堂实际对案例进行分析,然后提供了一些供学生自己操作的范例.对这些案例或范例的分析,发现了GeoGebra用于解析几何教学的一些优势,也发现了一些问题.本研究的结论是,Geo Gebra介入解析几何教学后:(1)学生学习解析几何的学习积极性、学习兴趣都有所提高;(2)教学中能有效地渗透数形结合思想、提高动态几何想象能力;(3)能够提高教学效率,改善解析几何课堂现状.最后,本研究对教师、软件开发者及教材编写者提出了若干建议.
[Abstract]:Analytic geometry knowledge occupies a large score in the college entrance examination over the years, but students' understanding of its concept and the exploration of mathematical conclusions are very difficult, which leads to the poor atmosphere of analytical geometry classroom teaching and students' low enthusiasm for learning. Teaching efficiency is low. Based on the powerful dynamic geometry software GeoGebra, this paper studies the application of the software in mathematics teaching and learning in analytical geometry high school, and tries to improve the above situation. Through literature combing and teaching practice, the author finds some unsatisfactory present situation in analytic geometry teaching. The teaching contents of "straight line and circle" and "conic curve" are designed by using GeoGebra, the case is analyzed in combination with the classroom practice, and some examples for students to operate themselves are provided. The analysis of these cases and examples reveals some advantages and problems of GeoGebra in analytic geometry teaching. The conclusion of this study is: (1) the students' enthusiasm and interest in learning analytic geometry have been improved; (2) the idea of combination of numbers and shapes can be effectively infiltrated in the teaching. Improve the ability of dynamic geometric imagination; (3) can improve the teaching efficiency and improve the present situation of analytical geometry class. Finally, some suggestions are given to teachers, software developers and textbook writers.
【学位授予单位】：苏州大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6
[Abstract]:Analytic geometry knowledge occupies a large score in the college entrance examination over the years, but students' understanding of its concept and the exploration of mathematical conclusions are very difficult, which leads to the poor atmosphere of analytical geometry classroom teaching and students' low enthusiasm for learning. Teaching efficiency is low. Based on the powerful dynamic geometry software GeoGebra, this paper studies the application of the software in mathematics teaching and learning in analytical geometry high school, and tries to improve the above situation. Through literature combing and teaching practice, the author finds some unsatisfactory present situation in analytic geometry teaching. The teaching contents of "straight line and circle" and "conic curve" are designed by using GeoGebra, the case is analyzed in combination with the classroom practice, and some examples for students to operate themselves are provided. The analysis of these cases and examples reveals some advantages and problems of GeoGebra in analytic geometry teaching. The conclusion of this study is: (1) the students' enthusiasm and interest in learning analytic geometry have been improved; (2) the idea of combination of numbers and shapes can be effectively infiltrated in the teaching. Improve the ability of dynamic geometric imagination; (3) can improve the teaching efficiency and improve the present situation of analytical geometry class. Finally, some suggestions are given to teachers, software developers and textbook writers.
【学位授予单位】：苏州大学
【学位级别】：硕士
【学位授予年份】：2016
【分类号】：G633.6
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