基于STEAM教育理念的高中数学建模三阶教学研究

Research on Three-Stage Teaching of High School Mathematics Modeling Based on the STEAM Education Concept

摘要: 针对高中数学建模教学跨学科融合不足、能力培养缺乏梯度的问题，本研究结合STEAM教育优势，以皮亚杰认知发展理论、维果茨基最近发展区理论为依据，构建“基础奠基–方法进阶–创新实践”三阶教学模式。该模式对应全员普及–能力提升–拔尖创新的课程体系，选取“茶水最佳饮用时间”“海水潮汐与港口水深”“汽车刹车距离”为实践案例，通过场景化课时整合、跨科化师资提升、多元化评价衔接破解落地困境，并配套基础能力–跨学科整合–艺术融合–创新拓展的分层评价体系，旨在通过分层课程与案例实践来弥补传统教学跨科融合短板，为STEAM教育理念与高中数学建模的深度融合提供实践路径。

Abstract: Aiming to address the insufficient interdisciplinary integration and lack of competency progression in high school mathematical modeling instruction, this study leverages the advantages of STEAM education and is grounded in Piaget’s cognitive development theory and Vygotsky’s zone of proximal development theory. It constructs a three-tiered teaching model—“Foundation Building, Method Advancement, and Innovative Practice”—corresponding to a curriculum system of universal literacy, competency enhancement, and elite innovation. Three practical cases—“Optimal Tea Drinking Time”, “Sea Tides and Port Water Depth”, and “Car Braking Distance”—are selected to overcome implementation challenges through scenario-based lesson integration, cross-disciplinary teacher development, and diversified assessment alignment. Additionally, a tiered evaluation system encompassing foundational skills, interdisciplinary integration, artistic fusion, and innovative expansion is implemented. This approach seeks to compensate for the shortcomings of traditional teaching in cross-disciplinary integration and provides a practical pathway for the deep integration of STEAM education concepts with high school mathematical modeling.