项目化思维导向下初中数学案例教学研究与实践

Research and Practice of Case-Based Teaching in Junior High School Mathematics Guided by Project-Based Thinking

摘要: 本研究立足初中数学教学实际，探索项目化思维与案例教学的深度融合路径。通过剖析项目式学习(PBL)的理论内核与案例教学的实践特征，构建“情境浸润–问题驱动–多维互动–模型建构–反思迁移”的五维教学框架，并结合代数、几何等典型教学案例，论证其在培育学生数学抽象、逻辑推理、数学建模等核心素养方面的实践价值，为中学数学高阶思维培养提供理论参考与操作范式。

Abstract: This study is rooted in the practical teaching of junior high school mathematics and explores the path of deep integration between project-based thinking and case-based teaching. By analyzing the theoretical core of Project-Based Learning (PBL) and the practical characteristics of case-based teaching, a five-dimensional teaching framework of “contextual immersion-problem-driven-multidimensional interaction-model construction-reflective migration” is constructed. Combining with typical teaching cases in algebra and geometry, this study demonstrates its practical value in cultivating students’ core literacy such as mathematical abstraction, logical reasoning, and mathematical modeling, providing a theoretical reference and operational paradigm for the cultivation of high-order thinking in secondary mathematics education.