新课标背景下数学课堂越来越重视学生核心素养的培养,数学运算核心素养在高中数学平面向量这一章节尤为重要,对人教A版、苏教版和IBDP版(简称为海森版)三版教材平面向量章节进行数学运算思维、内容编排、例习题难度等维度对比分析得到...新课标背景下数学课堂越来越重视学生核心素养的培养,数学运算核心素养在高中数学平面向量这一章节尤为重要,对人教A版、苏教版和IBDP版(简称为海森版)三版教材平面向量章节进行数学运算思维、内容编排、例习题难度等维度对比分析得到一些有意义的建议,并对各地域使用不同教材的教师们进行调查访谈再结合具体的教学环境进行总结,从而提出教材使用及课堂教学建议,以期望对高中数学课堂教学指导和学生数学知识体系的拓展有所帮助。Under the background of the new curriculum standards, mathematics classrooms are placing increasing emphasis on the cultivation of students’ core competencies, with mathematical operation being particularly crucial in the chapter of plane vectors in high school mathematics. A comparative analysis of the mathematical operation thinking, content arrangement, and difficulty level of example exercises in the plane vector chapters of the three textbooks versions: PEP Edition, Jiangsu Education Edition, and IBDP Edition (referred to as Haisen Edition), yields some meaningful suggestions. Furthermore, through survey interviews with teachers using different textbooks in various regions, combined with specific teaching environments, we summarize and propose recommendations for textbook usage and classroom instruction. It is hoped that these suggestions will be beneficial to guiding high school mathematics classroom teaching and expanding students’ mathematical knowledge systems.展开更多
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...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.展开更多
文摘新课标背景下数学课堂越来越重视学生核心素养的培养,数学运算核心素养在高中数学平面向量这一章节尤为重要,对人教A版、苏教版和IBDP版(简称为海森版)三版教材平面向量章节进行数学运算思维、内容编排、例习题难度等维度对比分析得到一些有意义的建议,并对各地域使用不同教材的教师们进行调查访谈再结合具体的教学环境进行总结,从而提出教材使用及课堂教学建议,以期望对高中数学课堂教学指导和学生数学知识体系的拓展有所帮助。Under the background of the new curriculum standards, mathematics classrooms are placing increasing emphasis on the cultivation of students’ core competencies, with mathematical operation being particularly crucial in the chapter of plane vectors in high school mathematics. A comparative analysis of the mathematical operation thinking, content arrangement, and difficulty level of example exercises in the plane vector chapters of the three textbooks versions: PEP Edition, Jiangsu Education Edition, and IBDP Edition (referred to as Haisen Edition), yields some meaningful suggestions. Furthermore, through survey interviews with teachers using different textbooks in various regions, combined with specific teaching environments, we summarize and propose recommendations for textbook usage and classroom instruction. It is hoped that these suggestions will be beneficial to guiding high school mathematics classroom teaching and expanding students’ mathematical knowledge systems.
文摘基于核心素养视角,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.
