费曼学习法在培养高中生数学核心素养中的作用研究——以逻辑推理与直观想象为例

Research on the Role of Feynman Technique in Cultivating High School Students’ Core Mathematical Competencies—Taking Logical Reasoning and Intuitive Imagination as Examples

摘要: 《普通高中数学课程标准(2017年版2020年修订)》将数学核心素养作为课程目标的核心内容。其中，逻辑推理与直观想象不仅是数学学习的关键素养，也是学生普遍面临的难点。费曼学习法作为一种以“输出”为导向的深度学习策略，其核心流程包括概念选择、模拟教学、查漏补缺与简化内化，为上述两大素养的培养提供了可行路径。文章旨在探讨费曼学习法在促进逻辑推理与直观想象素养发展中的作用机制，结合高中数学典型案例，阐释其在显化推理过程、提升思维严谨性，以及外化想象图景、强化数形结合能力方面的独特价值，从而为数学核心素养的教学实践提供理论参考与实践范本。

Abstract: The “Mathematics Curriculum Standards for Ordinary High Schools (2017 Edition, 2020 Revision)” regards core mathematical competency as the core content of the curriculum objectives. Among them, logical reasoning and intuitive imagination are not only key competencies in mathematics learning, but also common difficulties faced by students. The Feynman Technique, as an output oriented deep learning strategy, has a core process that includes concept selection, simulated teaching, leak detection, and simplified internalization, providing a feasible path for the cultivation of the two major competencies mentioned above. This article aims to explore the mechanism of Feynman Technique in promoting the development of logical reasoning and intuitive imagination literacy. Combining typical cases of high school mathematics, it explains its unique value in the process of explicit reasoning, enhancing thinking rigor, externalizing imagination, and strengthening the ability to combine numbers and shapes. This provides theoretical reference and practical examples for the teaching practice of mathematical core literacy.