摘　要当前，围绕着对21世纪公民的科学素养的需求，各国积极开展数学课程和数学教学的改革，渗透数学思想方法是数学教师教学中的主要任务之一.于1996年进入高中课程的向量不仅沟通了代数和几何的联系，而且体现了近现代数学的思想：现代公理化演绎思想、数学模型思想、数学结构思想、机械化算法思想等.它在高中数学中的地位是举足轻重的.在高中数学教学实践中，渗透向量思想方法的教学研究是值得进行的.向量思想方法是从向量这个概念中抽象概括出来的，把所研究的问题转化为向量表示，利用向量的概念、表示、运算来解决问题的思想方法.文章的研究重点是把向量思想方法作为现代数学思想方法的内容之一在高中数学的三角、立体几何、解析几何的教学实践中加以实施.通过案例分析研究的方法，在实施数学思想方法的教学应该遵循一些技术性原则的指导下，将向量思想方法的教学寓于向量知识和向量应用的教学之中，对这三部分内容的教学做了宏观设计，在这个整体思路下，对一节课、一个概念以及命题、公式、法则、例题、习题等教学过程进行渗透向量思想方法教学的具体设计，按照精心选择素材——设计教学过程——加强解题训练——实施学法指导这一思路来贯彻实施向量思想方法的教学.并通过学生的学习报告、阶段测试和问卷调查的方式对教学效果进行了评价.本篇论文主要是对高中数学教学实践中实施向量思想方法教学时如何设计每一部分、每一节课的教学内容，如何实施具体内容教学的相关策略的研究.整篇论文是这样安排的，前言总体介绍了研究的目的、意义、方法.第一部分对高中数学课程中向量教学的现状进行了分析并提出了本论文的研究方向.第二部分是理论基础，分别从核心概念的界定、向量思想方法与现代数学思想的关系和国内高中数学向量教学的研究成果三个方面进行了阐述.第三部分是高中数学向量思想方法教学实践研究的意义.第四部分是实施向量思想方法教学实践中的宏观设计、微观设计以及教学案例分析.第五部分是实施向量思想方法教学效果的评价.最后是对高中数学向量思想方法教学的反思与展望.

Nowadays, to meet the demand of the people’s scientific quality in the 21st century ,many countries carry on the reform about math curriculum and teaching actively. One of the main teaching tasks for the math teachers is to teach the students to think in mathematical thinking ways. Vector, which was chosen into the senior school textbook in 1996, not only unites algebra and geometry, but represents the contemporary thoughts of math: thought of modern aximatization deduction, thought of mathematical models, thought of mathematical structure, thought of mechanical calculating ways etc. It is very important in senior school math. So the teaching research on vector thinking methods in senior school math teaching practice is valuable. Vector thinking methods are summarized from the abstract definition of vector, which turns the aim questions to vector, and solve the questions by the definition, expression and calculation of the vector. The researching emphasis of this paper is to look on vector thinking methods as one of the modern mathematics thinking ways and apply it into senior school math--- triangle, solid geometry, analytic geometry. Under the guide of some technical principles and by case analysis, vector thinking methods teaching is practiced in vector knowledge and vector application. Macro design of the three sections and concrete design of a class, a definition, a question, a formula, a law, an example as well as exercises etc. is performed in vector thinking methods teaching. The following train of thought is obeyed----- to select the material carefully, to design teaching course, to strengthen the practice of solution to the problems, to carry on the learning direction. The teaching result is valued by the means of students’ report, stage tests and questionnaires.This paper discusses how to design each part and the teaching contents in applying the vector thinking methods in senior school math teaching practice. It also talks about the research on the relative strategies to teach the concrete contents. It is arranged as follows: In the preface, it demonstrates the researching purpose, significance and methods generally. In the first part, the author analyzes the current situation of vector teaching in senior school math curriculum, and the research aim of the paper. The second part is theory base which states the core definition, the relationship between vector thinking methods and modern math thoughts, and the researching results of it in China. The third part demonstrates the significance of vector thinking methods teaching practice. The fourth part shows the macro and micro design as well as teaching case analysis. The fifth part values the effect of applying the vector thinking methods. The last part is to reflect and predict about it.