新课标视域下高中数学课程设计与教学方式创新研究——以“圆锥曲线”为例

Research on the Design of High School Mathematics Curriculum and the Innovation of Teaching Methods from the Perspective of the New Curriculum Standards—Taking “Conic Sections” as an Example

摘要: 以《普通高中数学课程标准(2017年版2020年修订)》为指导，围绕高中数学“圆锥曲线”章节展开研究。通过剖析传统教学存在的问题，结合数学学科核心素养培养要求，从课程设计、教学方式、评价体系三个维度进行创新。提出知识体系重构、情境化教学、项目式学习等策略，并辅以具体案例说明，旨在提升学生对圆锥曲线知识的理解与应用能力，促进数学学科核心素养的发展。

Abstract: Guided by the “General Senior High School Mathematics Curriculum Standards (2017 Edition, Revised in 2020)”, this research focuses on the “Conic Sections” chapter in senior high school mathematics. By analyzing the problems existing in traditional teaching and in line with the requirements for cultivating core literacy in mathematics, innovations are made from three dimensions: curriculum design, teaching methods, and evaluation systems. Strategies such as knowledge system reconstruction, contextualized teaching, and project-based learning are proposed, along with specific examples to illustrate. The aim is to enhance students’ understanding and application of conic section knowledge and promote the development of core literacy in mathematics.