【作者】 彭勇；

【导师】 陈志云；

【作者基本信息】 华中师范大学 ， 教育， 2006， 硕士

【摘要】 向量是现代数学中的一个重要概念,是刻画现实和描述现实世界的重要数学模型,是沟通代数、几何、三角的桥梁,在中学数学的教学中,向量及其教学已经受到人们广泛的关注,同时也是值得研究的问题。 本文阐述了向量的起源与发展,从数学发展史的角度认识向量的产生背景,有利于在教学中更好的把握向量知识的发生与发展。在此基础上,论述了中学向量教学的意义与目标,分析了向量在课程改革中的意义与作用,并对中学向量的教学内容、教材处理和教学要求,教学方法进行了深入的探讨。 论文从两个方面即:思维、文化,探讨了向量在中学数学课程中的科学价值和教育价值,期望从宏观上更好的把握向量的教学;同时也探讨了中学向量的内容设定及其逻辑体系,并以学生的心理发展为依据,对向量的教与学提出了作者的一些看法。 最后,论文提出中学向量教学的重点是“向量与课程内部其它数学内容的整合”,只有“整合”,才能真正体现向量的价值,从而防止师生单纯地为向量这一知识点而教与学,以致于成为又一个新的“教学负担”,同时作者通过教学实践,提出了整合的具体实施方案和操作策略,以及在整合过程中要注意的若干问题和建议。更多还原

【Abstract】 The vector, one important conception in contemporary mathematics, is an important mathematics model that depicts the actuality and describes the realistic world, is a bridge between algebra, geometry and triangles. In high school mathematical teaching, vector and its teaching is the widely concerned question for the people which is worth researching.The thesis explains the origin and development of the vector. It is trying to recognize the background of vector at a new angle of mathematical developing history so that we can undertand the cause and development of vector. Based on this ,it expatiates the significance and goal of high school vector teaching, analyses the significance and effects of vector on curricular reforming, and discusses the teaching contents ,treatment of teaching material, teaching demands and teaching methods on vector.From 2 aspects of thought and culture, the thesis discusses the science value and education value of vector in high school mathematical curriculum. And expect to master vector teaching. At the same time it discusses the content design and logical system of vector and explains the writer’s idea of vector teaching and learning based on the psychological development of students.Finally, the thesis suggests the key point of high school vector teaching is "the integration of the vector and internal and other mathematics contentses of course", only "integration", the value of vector can be revealed, it prevents teacher and students teach and learn for vector and become a new "teaching burden". The writer passes the teaching fulfillment at the same time, put forward the concrete implement project of the integration and operate the strategy, and want some problems and suggestion for notices in integrate process.更多还原