核心素养导向下高中解析几何教学策略研究

Research on Teaching Strategies of High School Analytic Geometry under the Guidance of Core Competencies

摘要: 解析几何作为衔接高中数学代数与几何知识的核心内容，对学生直观想象、数学运算、逻辑推理和数学建模四大数学核心素养的培育具有重要作用。现阶段高中解析几何教学中，仍存在侧重解题技巧传授而忽视素养培育、注重运算训练而弱化直观感知、聚焦应试提分而轻视思维发展的问题，使得学生的几何感知能力、运算逻辑思维与知识实际应用能力难以得到有效提升。本文以核心素养理论为指导，采用文献研究、案例分析与教学实践等方法，梳理解析几何教学与核心素养的内在联系，分析教学困境及成因，从四大素养维度构建系统化教学策略，结合典型案例进行实践设计并提出改进建议。

Abstract: Analytic geometry, as the pivotal link between algebra and geometry in high school mathematics, plays a crucial role in cultivating four core mathematical competencies: intuitive imagination, mathematical computation, logical reasoning, and mathematical modeling. However, current teaching practices in analytic geometry in high school still exhibit issues such as overemphasizing problem-solving techniques at the expense of competency development, prioritizing computational drills while neglecting intuitive perception, and focusing on exam-oriented scoring rather than fostering critical thinking. These shortcomings hinder the effective enhancement of students’ geometric perception, computational logic, and practical application skills. Guided by core competency theory, this study employs literature review, case analysis, and teaching practice to explore the intrinsic connections between analytic geometry instruction and core competencies. It identifies teaching challenges and their root causes, constructs systematic teaching strategies across the four competency dimensions, and proposes practical improvements through case-based design and evidence-based recommendations.