数学教育学报2026，Vol.35Issue(4)：66-74,9.
GenAI赋能数学探究活动教学的必要性和实践策略研究
Research on the Necessity and Practical Strategies of GenAI-Enabled Math Inquiry Activity Teaching:Taking the Teaching of"Optical Properties of Parabola"as an Example
摘要
Abstract
Mathematical inquiry activities constitute a pivotal component of senior high school mathematics education.The practical demands of teaching mathematical inquiry activities and the inherent requirements of the inevitable process of educational digitization necessitate AI empowerment.This study constructs an implementation framework for Generative Artificial Intelligence(GenAI)-empowered mathematics inquiry teaching,encompassing four core phases:identify questions and expressions,develop conjectures and solutions,elucidate explanations and proofs,and assess the process and summarize.Through a teaching case study on"optical properties of parabolas",we demonstrate GenAI's multifaceted applications in mathematics inquiry activities,revealing its unique values and implementation strategies in:intelligent generation of inquiry scenarios;conversational assistance in mathematical expression;personalized inspiration for investigative thinking;multidimensional decomposition of complex problems;high-efficiency provision of experimental special cases;proceduralized demonstration of proof steps;automated assessment of inquiry processes;and customized guidance for reflective synthesis.This study offers novel perspectives for integrating GenAI into mathematics pedagogy.关键词
数学教学/探究活动/生成式人工智能/AIKey words
mathematics teaching/inquiry activities/Generative Artificial Intelligence(GenAI)/AI分类
社会科学引用本文复制引用
蒋培杰,林文倩,邓怀宇..GenAI赋能数学探究活动教学的必要性和实践策略研究[J].数学教育学报,2026,35(4):66-74,9.基金项目
2025年湖南省普通本科高校教学改革研究项目——智能化背景下数学师范生解题方法课程的思政融入研究(202502000312) （202502000312）
