新课程背景下图形数字化资源库建设  

Construction of Digital Resource Library for Graphics under the Background of New Curriculum

作　　者：王迎雪 王天洋 王丽娟 陈俊英[1] 管琳[1] 

机构地区：[1]河北农业大学理学院,河北 保定

出　　处：《理论数学》2024年第7期223-242,共20页Pure Mathematics

摘　　要：高等数学、线性代数和解析几何都属于大学中的抽象数学课程,数学课程大多需要通过抽象符号,复杂图形来开展教学,为帮助学生理解数学思想。我们应用MATLAB、Python、GeoGebra等软件的作图功能,绘制平面曲线、立体曲面的图像,得到一系列的静图和动图,将这些资源整合,辅助高校进行数学课堂教学,提高学生的学习质量,提高教师的教学效率。本文通过对数字图像的开发设计,构建直接具体的数学模型,为高校师生提供可视化的动图和动态化的图形,为师生创造一个具体形象、立体交互、能人人操作的动态学习资源库,为大学数学课程教育教学提供教学工具。Advanced mathematics, linear algebra, and analytic geometry are all abstract mathematics courses in universities. Most mathematics courses require teaching through abstract symbols and complex graphics to help students understand mathematical ideas. We use the drawing functions of software such as MATLAB, Python, and GeoGebra to draw images of flat curves and three-dimensional surfaces, obtaining a series of static and dynamic graphs. We integrate these resources to assist mathematics classroom teaching in universities, improve the quality of student learning, and enhance the teaching efficiency of teachers. This article constructs a direct and concrete mathematical model through the development and design of digital images, providing visual and dynamic graphics for university teachers and students, creating a dynamic learning resource library that is concrete, interactive, and accessible to everyone, and providing teaching tools for university mathematics curriculum education and teaching.

关 键 词：大学数学 数字化资源库 平面图形 二次曲面 

分 类 号：G63[文化科学—教育学]