核心素养导向下数学问题解决教学设计与思考——以“一次函数的应用”为例

Design and Reflections on Mathematical Problem-Solving Instruction Guided by Core Competencies—Taking the “Applications of Linear Functions” as an Exam

摘要: 核心素养是初中数学教学的核心育人目标，问题解决教学是落实素养培育、衔接数学知识与生活实际的重要路径。以初中数学“一次函数的应用”为例，通过创设真实的问题情境，引导学生经历“发现问题–分析问题–解决问题–反思提升”的完整问题解决过程，激发学生对数学学习的热情，感受实际生活中的数学，全面发展学生的数学核心素养。

Abstract: Core competencies are recognized as the central educational objective in junior high school mathematics instruction. Meanwhile, problem-based teaching is widely regarded as a vital approach for fostering these competencies, as well as for bridging the gap between mathematical knowledge and real-world applications. Taking the application of linear functions in junior high school mathematics as an example, authentic problem contexts are designed to guide students through the complete problem-solving process of “problem discovery, analysis, resolution, and reflective enhancement.” Through this approach, students’ enthusiasm for learning mathematics is stimulated, the practical application of mathematics in daily life is experienced, and their core mathematical competencies are comprehensively developed.