【作者】 陈涛；

【导师】 孙连举；

【作者基本信息】 东北师范大学 ， 课程与教学论， 2006， 硕士

【摘要】 向量,具有代数和几何的双重属性,引入高中课程,对传统的教育模式以及课程结构产生了很大的冲击和影响,尤其是空间向量引入立体几何,表现得更加突出,这一点一线的教育工作者体会得尤为深刻。本文通过调查、访谈,比较研究分析了向量引入高中数学课程的必要性、可行性以及重要意义和价值,并详细地分析了向量在高中数学教学中的目标及内容设置,突出了向量在整个高中数学课程中的重要地位和“工具”性作用。接着,本文归纳总结了数学解题中向量法的解题思想方法,比较分析了向量法与传统法的优势和不足,辩证地对待二者的地位和作用,并进一步分析了影响向量解题的因素,期望通过比较研究,更大限度地发挥和体现向量的作用和价值,引起一线教师的重视。最后,根据分析、比较研究,反思向量在高中数学课程中地位和作用,并提出了关于联系实际问题,强化向量学习,体现学生主动学习原则等几点建议,希望能够为中学数学教育提供一点可行性的建议,为新课程的推广和实施尽一份绵薄之力。更多还原

【Abstract】 Vector has both algebraic and geometric characteristics. Its introduction into to senior high school curriculum, especially the introduction of the spatial vector, has exerted great influence upon the traditional educational modes and curriculum structure. Mathematic teachers have been greatly impressed by the influence.Through survey, interview and comparative research, this thesis analyses the necessity , applicability and significance of the introduction of vector into senior high school curriculum and also analyses the objective and content of vector in the curriculum in detail, emphasizing vector’s importance and function as“tool”in the curriculum.What is more, this thesis makes a summary about the methods of solving mathematic problems with vector, compares and analyses the strengths and weaknesses of the traditional and vector means of problem-solving, dialectically analyses the position and function of the two and further discuss the influential factors in using vector to solve problems. The author hopes that this research will cause mathematic teachers to pay more attention to vector and thus make full use of it.At last, according to the analysis and comparative research , the paper reflects upon the position and function of vector in senior high school mathematic curriculum and offers several suggestions like associating practical issues, enhancing the learning of vector, etc, with the hope that the thesis can provide applicable suggestions to mathematic teaching and contribute to the promotion of the New Curriculum.更多还原