新高考背景下高三数学二轮复习小专题课型研究与探索

Research and Exploration on Focused Mini-Topic Lesson Types in the Second Round of High School Mathematics Review under the New College Entrance Examination Background

摘要: 新高考改革推动数学命题从“知识立意”转向“能力立意”，强调情境化、综合性与思维深度，对高三二轮复习提出更高要求。本文基于教学实践，探讨以“小专题”为核心的复习课型，通过溯源教材、错题导向、跨模块融合等策略，构建具有针对性、层次性和系统性的复习路径。研究提出“概念重构–思维建模–实战演练”三阶教学模式，结合分层教学与动态调整机制，推动学生从知识掌握向素养提升转变。文章还分析了小专题实施中的挑战，并提出加强集体教研、强化技术赋能等对策，以期为新高考背景下高三数学复习教学提供可操作的参考。

Abstract: The new college entrance examination reform has shifted the focus of mathematics propositions from “knowledge-oriented” to “competency-oriented,” emphasizing contextualization, comprehensiveness, and depth of thinking, thereby placing higher demands on the second round of high school mathematics review. Based on teaching practices, this study explores a review model centered on “focused mini-topics.” By employing strategies such as tracing back to textbook fundamentals, leveraging error analysis, and integrating cross-modular knowledge, it aims to build a targeted, hierarchical, and systematic review pathway. The research proposes a three-phase teaching model—“conceptual reconstruction, thinking modeling, and practical application”—combined with tiered instruction and dynamic adjustment mechanisms to facilitate students’ transition from knowledge acquisition to competency development. The paper also analyzes challenges in implementing focused mini-topics and suggests countermeasures, including enhancing collaborative teaching research and leveraging technology, to provide actionable insights for high school mathematics review under the new examination framework.