GeoGebra赋能高中数学可视化教学研究——以函数的概念和性质为例

Research on GeoGebra-Enabled Visual Teaching of High School Mathematics—Taking the Concept and Properties of Functions as an Example

摘要: 函数是高中数学的核心内容，但其概念的抽象性与性质的逻辑复杂性，使得传统“静态描绘”的教学方式难以帮助学生实现深度理解。GeoGebra作为动态数学软件，为函数教学提供了“动态建构”的新路径。研究基于可视化学习理论，构建了“直观感知–实验探究–意义建构–迁移应用”四阶段教学框架，并以函数的概念和性质为例，阐述了GeoGebra在揭示对应关系本质、动态呈现性质变化中的具体应用策略。研究表明，GeoGebra赋能的可视化教学能够帮助学生完成从“看图表”到“懂函数”的认知跃升，促进直观想象与逻辑推理素养的融合发展。

Abstract: Functions are the core content of high school mathematics, but the abstract nature of their concepts and the logical complexity of their properties make it difficult for traditional “static depiction” teaching methods to help students achieve deep understanding. GeoGebra, as a dynamic mathematical software, provides a new path of “dynamic construction” for function teaching. Based on the theory of visual learning, this study constructs a four-stage teaching framework of “intuitive perception-experimental exploration-meaning construction-transfer application”, and takes the concept and properties of functions as an example to elaborate on the specific application strategies of GeoGebra in revealing the essence of correspondence and dynamically presenting property changes. The research shows that visual teaching empowered by GeoGebra can help students make a cognitive leap from “looking at charts” to “understanding functions”, promoting the integrated development of intuitive imagination and logical reasoning skills.