UbD理论下融合GeoGebra的“圆的标准方程”教学设计

Teaching Design of “Standard Equation of a Circle” Integrating GeoGebra under the UbD Theory

摘要: “圆的标准方程”是高中数学解析几何的选择性必修一核心内容，传统教学往往直接给出方程形式，学生难以理解参数(a, b, r)的几何意义。本文以“圆的标准方程”为例，基于UbD理论的逆向设计三阶段和理解六侧面，重点阐述教学目标的确定、评价任务的设计以及融入GeoGebra的教学活动流程，通过一节课的完整设计，呈现“理解为先”的课时教学实践。

Abstract: As the introductory content of analytic geometry in senior high school mathematics, the standard equation of a circle is conventionally taught by directly presenting its algebraic form, which makes it difficult for students to understand the geometric meanings of its parameters (a, b, r). Taking the standard equation of a circle as an example, this paper, based on the three stages of UbD backward design, focuses on the formulation of teaching objectives, the design of assessment tasks, and the process of teaching activities integrated with GeoGebra. It aims to present a complete lesson design that embodies the “understanding-first” approach to classroom instruction.