数智赋能下高中数学探究活动优化研究——以“三角函数模型的简单应用”为例

Research on Optimizing High School Mathematics Inquiry Activities under the Empowerment of Digital Intelligence—Taking “Simple Applications of Trigonometric Function Models” as an Example

摘要: 人教A版高中数学必修一教材中“三角函数模型的简单应用”探究活动，是培养学生数学建模核心素养的典型载体。聚焦该具体探究活动，深入剖析其在传统与数智环境下实施的关键困境，系统探索数智技术在真实情境构建、动态参数探究、模型拟合验证、过程性评价等环节的作用机制与实践路径。旨在为该探究活动提供可操作、高效的数智化解决方案，提升学生解决周期性实际问题的能力，并为教材中同类探究活动的数智化转型提供思路。

Abstract: The exploration activity of “Simple Application of Trigonometric Function Model” in the compulsory high school mathematics textbook of People’s Education A version is a typical carrier for cultivating students’ core mathematical modeling literacy. This article focuses on this specific exploration activity, deeply analyzes its key challenges in traditional and digital environments, and systematically explores the mechanism and practical path of digital technology in real scenario construction, dynamic parameter exploration, model fitting verification, process evaluation, and other aspects. The aim is to provide operational and efficient digital solutions for this exploration activity, enhance students’ ability to solve periodic practical problems, and provide ideas for the digital transformation of similar exploration activities in textbooks.