GenAI赋能数学探究活动教学的必要性和实践策略研究OA

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.