CPFS结构理论下高中数学概念教学策略——以“函数的概念”为例

Teaching Strategies for High School Mathematics Concepts under the CPFS Structure Theory—A Case Study of “The Concept of Function”

摘要: 数学概念是构成数学知识体系的基本单元，对培养学生的数学推理与问题解决能力具有奠基性作用。本文基于CPFS结构理论，系统分析其内涵及在高中数学概念教学的价值，结合“函数的概念”教学这一核心内容，提出了“注重概念生成，构建概念网格”与“适时教学反思，促进概念有效应用”的教学策略，旨在通过“生成–联系–反思”的系统设计，帮助学生完善概念体系，发展学生的数学核心素养，为终身学习奠定基础。

Abstract: Mathematical concepts serve as the fundamental building blocks of mathematical knowledge systems, playing a foundational role in cultivating students’ mathematical reasoning and problem-solving abilities. This paper systematically analyzes the connotation and educational value of CPFS structural theory in high school mathematics concept instruction. Focusing on the core teaching content of “the concept of functions”, it proposes two pedagogical strategies: “concept generation-focused development and conceptual framework construction” and “timely teaching reflection to enhance effective application”. Through a systematic design of “generation-connection-reflection” processes, the study aims to help students refine their conceptual systems, develop core mathematical competencies, and establish a solid foundation for lifelong learning.