CTI模式下培养高中生逻辑推理素养的课例实践——以“基本不等式及其应用”专题复习课为例

Practical Lesson Examples for Cultivating High School Students’ Logical Reasoning Competencies in CTI Mode—Taking the Thematic Review Lesson on “Fundamental Inequalities and Their Applications” as an Example

摘要: 以高中数学“基本不等式及其应用”专题复习课为实践载体，探索如何通过CTI教学模式发展学生的数学逻辑推理素养。以CTI教学理念为核心，结合问题链设计，引导学生主动建构知识、深化理解，并实现知识的迁移与创新应用，构建了指向核心素养发展的教学框架与教学设计。该模式有助于渗透培养学生的数学逻辑推理素养，为落实新课标核心素养培养要求提供了可操作的教学路径与实践参考。

Abstract: Using a high school mathematics thematic review lesson on “Fundamental Inequalities and Their Applications” as a practical vehicle, this study explores how to develop students’ mathematical logical reasoning literacy through the CTI teaching model. Centered on CTI pedagogical principles and integrated with problem-based chain design, this approach guides students to actively construct knowledge, deepen understanding, and achieve knowledge transfer and innovative application. It establishes a teaching framework and instructional design oriented toward core competency development. This model facilitates the cultivation of mathematical logical reasoning competencies, providing an actionable teaching pathway and practical reference for implementing the core competency requirements outlined in the new curriculum standards.