在数学教学中从点线面三维角度创新理解向量  

Innovative Understanding of Vector in Mathematics Teaching from Three-Dimensional Perspective of Point,Line and Plane

作　　者：胡乙[1] HU Yi(Jiangsu Vocational Institute of Commerce,Nanjing 211168,China)

机构地区：[1]江苏经贸职业技术学院,南京211168

出　　处：《北京工业职业技术学院学报》2021年第2期95-99,共5页Journal of Beijing Polytechnic College

基　　金：2020年江苏经贸职业技术学院科研项目(JSJM20018)。

摘　　要：为帮助学生深入理解向量蕴含的数学思想,教师可从几何空间出发,分三个部分讲授向量概念。从数轴出发,讲授数轴发展史,引导学生从多维空间中的数对(坐标)视角理解向量。从平行线出发,引导学生学习平行向量和全等向量。从封闭回路出发,引导学生运用封闭回路寻找向量的起点与终点。从几何点线面三维角度理解向量概念,有助于学生后续学习向量相关定理、公式与法则。In order to help students deeply understand the mathematical ideas contained in vector,teachers can teach the concept of vector in three parts from the perspective of geometric space.Starting from the number axis,teach the development history of the number axis,and guide students to understand vectors from the perspective of number pairs(coordinates)in multi-dimensional space.Starting from parallel lines,guide students to learn parallel vectors and congruent vectors.Starting from the closed loop,guide students to use the closed loop to find the starting point and end point of vector.Understanding the concept of vector from the three-dimensional perspective of geometric points,lines and surfaces is helpful for students to learn the related theorems,formulas and rules of vector.

关 键 词：向量概念 几何空间 数轴 平行线 封闭回路 

分 类 号：O183.1[理学—数学]