基于GeoGebra和BOPPPS的“椭圆及其标准方程”教学设计

Teaching Design for “Ellipses and Their Standard Equations” Using GeoGebra and BOPPPS

摘要: 针对“椭圆及其标准方程”教学中概念抽象、几何直观与代数表达割裂、学生理解浮于形式等问题，研究融合GeoGebra的动态演示功能与BOPPPS六环节教学模式，以“椭圆及其标准方程”为案例进行了教学设计。该设计旨在引导学生自主探究并推导标准方程，深刻把握其核心本质，有效提升课堂参与度与学习内驱力，增强教学效能，为高中圆锥曲线教学提供可操作、可迁移的实践方案。

Abstract: Addressing issues in the teaching of “ellipses and their standard equations”—such as the abstract nature of the concepts, the disconnect between geometric intuition and algebraic expression, and students’ superficial understanding—this study integrates the dynamic demonstration capabilities of GeoGebra with the BOPPPS six-step teaching model to develop a lesson plan using “ellipses and their standard equations” as a case study. This design aims to guide students in independently exploring and deriving the standard equation, enabling them to grasp its core essence, effectively enhancing classroom engagement and intrinsic motivation, and improving teaching effectiveness, thereby providing a practical and transferable solution for the teaching of conic sections in senior secondary schools.