AI赋能初中数学几何教学的实践探索——以“三角形的内角和定理”教学为例

Exploration of AI-Enhanced Geometry Teaching in Junior High School Mathematics—Taking the Teaching of the Theorem of Sum of Interior Angles of Triangles as an Example

摘要: 随着AI技术的发展，将AI技术合理并高效地应用到数学教学中已经成为当前数学教师的一堂必修课。而在初中数学中，几何部分的学习占据着重要的地位。而初中数学几何内容本身就具有较强的抽象性，需要学生具备一定的逻辑推理能力，因此几何教学面临着学生理解困难、几何动态演示不够直观等困境。本文将以新人教版初中数学八年级上册第十三章第三节第一课时“三角形的内角和定理”为例，围绕课前，课中，课后三大环节，在遵循教学评一致性的基础上，讨论AI技术赋能几何教学的实践路径。课前阶段，AI技术可以帮助教师精准地搜索教学素材，并且可以辅助教师生成教学课件，与此同时，AI技术还可以助力教师创设问题情境，让抽象的数学和学生们的生活密切联系起来，用多种多样的呈现形式，让学生感受数学中的乐趣。课中阶段，AI可以辅助教师生成活跃课堂氛围的教学游戏或教学工具，与此同时，对于几何教学来说，AI可以生成交互式的动画，实现几何教学的可视化，让学生从“静态的听讲”向“动态的看见”进行转变，助力学生在几何课堂上的深度探究。课后阶段，利用AI可以生成错题分析的智能体或苏格拉底式智能体，辅助学生进行错因分析，并且及时对学生进行个性化的辅导，与此同时AI还可以助力分层教学，生成分层练习，针对每一个学生的学习情况推送有针对性的习题和学习任务。

Abstract: With the development of AI technology, the rational and efficient application of AI technology in mathematics teaching has become a compulsory course for current mathematics teachers. In junior high school mathematics, the study of geometry occupies an important position. However, the geometry content in junior high school mathematics itself has a strong abstraction, requiring students to have a certain level of logical reasoning ability. Therefore, geometry teaching faces difficulties in students’ understanding and the lack of intuitive geometric dynamic demonstrations. This article will take the first lesson of Chapter 13, Section 3, Lesson 1 of the 8th Grade Mathematics textbook of the New People’s Education Press as an example to discuss the practical path of AI technology empowering geometry teaching, focusing on the three major stages of pre class, in class, and post class, while following the consistency of teaching evaluation. In the pre class stage, AI technology can help teachers accurately search for teaching materials and assist teachers in generating teaching courseware. At the same time, AI technology can also help teachers create problem scenarios, closely linking abstract mathematics with students’ lives, and using various presentation forms to allow students to experience the fun of mathematics. During the in-class stage, AI can assist teachers in generating teaching games or tools that create an active classroom atmosphere. At the same time, for geometry teaching, AI can generate interactive animations to achieve visualization of geometry teaching, allowing students to transition from “static listening” to “dynamic viewing”, and assisting students in deep exploration in geometry classrooms. In the post class stage, AI can generate intelligent agents or Socratic intelligent agents for error analysis, assist students in error cause analysis, and provide personalized guidance to students in a timely manner. At the same time, AI can also assist in layered teaching, generate layered exercises, and push targeted exercises and learning tasks for each student’s learning situation.