核心素养视角下高中数学变式教学设计——以“平面向量的正交分解与坐标表示”为例
Design of Transformative Teaching in High School Mathematics from the Perspective of Core Competencies—Taking “Orthogonal Decomposition and Cartesian Representation of Plane Vectors” as an Example

基于核心素养视角，以高中数学中的平面向量为研究对象，通过变式教学设计来提升学生的数学素养。首先介绍了研究领域和背景，指出高中数学六大核心素养对学生的数学学习起到重要的指导作用，然后阐明了本研究的主要目标是设计一种有效的变式教学方法，以帮助学生理解平面向量的正交分解和坐标表示。在研究中，采用了概念性变式和过程性变式进行教学设计，帮助学生在变式教学下对平面向量的理解和应用能力的显著提升。强调了变式教学设计在提高学生核心素养和数学学习效果方面的重要性，总结了研究的主要观点和结论，为高中数学教学提供参考和借鉴。
From the perspective of core competencies, this study focuses on plane vectors in high school mathematics and aims to enhance students’ mathematical literacy through transformative teaching design. The research begins by introducing the field and background, emphasizing the significant guiding role of the six major core competencies in high school mathematics for students’ mathematical learning. It then clarifies that the main objective of this study is to design an effective transformative teaching method to help students understand orthogonal decomposition and coordinate representation of plane vectors. Conceptual and procedural variations are employed in teaching design to significantly improve students’ understanding and application abilities of plane vectors under transformative teaching. The importance of transformative teaching design in enhancing students’ core competencies and mathematical learning outcomes is emphasized, along with a summary of the main viewpoints and conclusions drawn from the research, providing reference and inspiration for high school mathematics education.