信息技术与中学数学教学相融合的可视化教学——以GeoGebra辅助教学为例

Visualized Teaching through the Integration of Information Technology and Secondary School Mathematics Teaching—A Case Study Using GeoGebra as a Teaching Aid

摘要: 在中学数学教学中，抽象的几何关系与函数性质是学生的学习难点，传统教学模式难以实现知识的直观化呈现。本文以GeoGebra软件为研究对象，先阐述其兼具几何绘图、代数运算、数据处理等功能，且能实现数与形动态联动的核心特点，将认知负荷理论、建构主义理论与初中数学教学实际相结合，从竞技趣味练习、直观化空间思维培养、数形结合筑牢函数认知三个维度，探究GeoGebra与中学数学教学的融合路径。研究发现，GeoGebra的可视化、动态化与交互性特征，能将抽象的数学知识转化为具象的图形与动态过程，降低学生的认知负荷，激发其探究兴趣，并推动学生实现从直观感知到抽象思维的转化，有效提升学生的数学核心素养与问题解决能力，为信息技术与中学数学教学的深度融合提供参考。

Abstract: In secondary school mathematics education, abstract geometric relationships and function properties pose significant learning challenges for students, and traditional teaching models struggle to present knowledge in an intuitive manner. This paper takes GeoGebra software as the subject of study, first outlining its core features-geometric drawing, algebraic computation, and data processing-as well as its ability to dynamically link numerical and graphical representations. Integrating cognitive load theory and constructivism with the actual practice of junior high school mathematics teaching, competitive and engaging exercises, intuitive spatial thinking development, and strengthening function understanding through the integration of numbers and shapes. The research finds that GeoGebra’s visualization, dynamism, and interactivity transform abstract mathematical concepts into concrete graphics and dynamic processes, reducing cognitive load, stimulating students’ curiosity, and facilitating the transition from intuitive perception to abstract thinking. This effectively enhances students’ core mathematical literacy and problem-solving abilities, offering valuable insights for the deep integration of information technology into secondary mathematics education.