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中文题名:

 基于高考改革背景下的向量教学研究    

姓名:

 李茗荟    

保密级别:

 公开    

论文语种:

 chi    

学科代码:

 070101    

学科专业:

 数学与应用数学    

学生类型:

 学士    

学位:

 理学学士    

学位年度:

 2024    

校区:

 珠海校区培养    

学院:

 未来教育学院    

研究方向:

 数学教育    

第一导师姓名:

 董丽秀    

第一导师单位:

 文理学院    

提交日期:

 2024-06-06    

答辩日期:

 2024-05-09    

外文题名:

 VECTOR RESEARCH BASED ON THE BACKGROUND OF COLLEGE ENTRANCE EXAMINATION REFORM    

中文关键词:

 向量 ; 高考改革 ; 新课标 ; 教学建议    

外文关键词:

 vector ; college entrance examination reform ; new curriculum standards ; teaching suggestions    

中文摘要:

在新普通高中数学课程标准(简称“新课标”)、新高考、新课改的背景下,如何改进数学课堂教学,培养学生核心素养是当下的热门话题。本文将从“新课标变化”、“新教材平面向量与空间向量比较”、“新高考向量考察”三个方面对高考改革下的向量进行研究和论述,最后得出一些在向量这个知识点上的教师教学建议。

本文主要得到以下结论:新课标中,对向量知识要求、难度有所提高;新教材中,平面向量与空间向量的引入都用了学生熟悉的知识进行类比,平面向量注重基础与应用,空间向量侧重点在应用;新高考中,对向量的考察主要为三个部分:向量的运算、应用空间向量建立空间直角坐标系解决相关问题、向量与其他知识的综合题。针对以上结论,本文对教师的向量教学给出以下四点建议:把握课标难度,结合教材教学、建立向量框架,明确教学思路、注重向量基础,关注综合应用、以学生为主题,发展核心素养。

外文摘要:

In the context of the new high school mathematics curriculum standards (referred to as the “New Curriculum Standards”), the new college entrance examination, and the new curriculum reform, how to improve mathematics classroom teaching and cultivate students’ core literacy is a hot topic at present. This article will discuss the vectors under the reform of the college entrance examination from three aspects: “changes in the new curriculum standards”, “comparison of plane vectors and space vectors in the new textbooks”, and “examination of vectors in the new college entrance examination”. Finally, some teaching suggestions for teachers on the knowledge point of vectors will be derived.

The main conclusion of this article is as follows: In the new curriculum standard, the requirements and difficulty of vector knowledge have been increased; In the new textbook, the introduction of plane vectors and space vectors is analogized using familiar knowledge of students. Plane vectors focus on fundamentals and applications, while space vectors focus on applications; In the new college entrance examination, the examination of vectors mainly consists of three parts: vector operation, applying spatial vectors to establish a spatial Cartesian coordinate system to solve related problems, and comprehensive questions about vectors and other knowledge. In response to the above conclusions, this article provides the following four suggestions for teacher vector teaching: grasp the difficulty of the curriculum standards, combine teaching materials, establish a vector framework, clarify teaching ideas, focus on vector foundations, pay attention to comprehensive applications, focus on student themes, and develop core competencies.

参考文献总数:

 28    

插图总数:

 6    

插表总数:

 2    

馆藏号:

 本070101/24016Z    

开放日期:

 2025-06-08    

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