基于TPACK框架的高中解析几何教学设计原则研究
Research on the Design Principles of High School Analytic Geometry Teaching Based on the TPACK Framework

近年来，信息技术的不断发展开发出了许多功能强大的新的教学软件，对教学方式变革产生了深刻的影响。高中解析几何部分的内容是高中数学一个重要组成部分，在高考中的总分值约20~30分，要求学生实现从“几何直观”到“代数抽象”的思维转换。本文基于TPACK框架主要探究在高中解析几何部分的教学中教师进行教学设计的原则。这部分内容主要涉及直线、圆、椭圆、双曲线和抛物线，深刻地了解它们的几何特征对于解决问题至关重要。现代教育技术应用到这部分内容的教学中可以更加直观、高效地增强学生对这部分知识的理解。
In recent years, the continuous development of information technology has led to the creation of many powerful new teaching softwares which have profoundly influenced the transformation of teaching methods. The content of high school analytic geometry is an important component of high school mathematics, accounting for approximately 20~30 points in the college entrance examination. It requires students to transition from “geometric intuition” to “algebraic abstraction.” Based on the TPACK framework, this paper explores the principles for teachers to design instruction in the context of high school analytic geometry. This section primarily covers lines, circles, ellipses, hyperbolas, and parabolas, and a deep understanding of their geometric characteristics is crucial for problem-solving. The application of modern educational technology in teaching this content can enhance students’ understanding in a more intuitive and efficient manner.