自主招生数学试题分析及教学案例探索
发布时间：2018-11-28 15:00
【摘要】：高等院校开始实施自主招生考试使得高考改革锦上添花,它的出现是顺应社会发展对人才多样化的需求.自从复旦大学、清华大学、上海交通大学等高等院校实行自主招生之后,全国各高等院校“深化自主选拔录取改革试验”招生方案陆续出台.而且,高等院校中出现了“联盟”招生,以哈工大为首的“卓越联盟”包括9所高等院校,以北京大学为首的“北约联盟”包括11所高等院校,以清华大学为首的“华约联盟”包括7所高等院校.以北京科技大学为首的“京都联盟”包括5所高等院校.自主招生试题多由高等院校教师自行命制,因此,有很多自主招生试题源于课本却高于课本,一些试题的命制是以高等数学知识为背景.它既能考查出学生的基础知识的掌握和数学能力的考核,又能替高校真正选拔出优秀人才.对于高中生而言,如果能够掌握些高等数学知识,无论是高考、竞赛、还是自主招生考试都是有很大的益处.这就需要高中教师能够研究这些有高等数学背景的题目,在平时自主招生上课或竞赛辅导课能够很好的渗透这些知识,使学生在知识和能力上有所提升.本文第一章主要阐述了研究的目的和意义,现阶段对自主招生考试研究的成果,一些相关概念的界定和研究的方法和思路.第二章是对自主招生数学试题的高等数学背景进行分类讨论,主要有以高等数学概念为背景;以高等数学著名数学题目为背景;以高等数学定理、公式为背景;以高等数学思想为背景;以数学文化为背景.然后,从“高观点”下的自主招生数学问题的教学指导思想、高观点”下的自主招生课堂教学实验、高观点”下的自主招生数学问题的教学案例,三个方面分析研究数学课渗透高等数学的必要性和教学形式,通过实验证实了自主招生课堂教学进行“高观点”下的教学创新是非常有成效的.最后给出与高中数学教学了相应的教学建议以及本文今后有待进一步研究的相关之处。
[Abstract]:Colleges and universities began to implement independent entrance examination, which makes the reform of college entrance examination more beautiful, and its appearance conforms to the demand of social development for the diversity of talents. Since Fudan University, Tsinghua University, Shanghai Jiaotong University and other institutions of higher learning implemented independent enrollment, the national colleges and universities "deepen the independent selection and admission reform" enrollment program has been issued one after another. Moreover, the "alliance" enrollment has emerged in universities and colleges. The "Alliance of Excellence", headed by the Harbin University of Technology, includes nine institutions of higher learning, and the "NATO Alliance", headed by Peking University, includes 11 institutions of higher learning. Led by Tsinghua University, the Union includes seven institutions of higher learning. The Kyoto Union, led by Beijing University of Science and Technology, includes five institutions of higher learning. The independent enrollment examination questions are mostly set by the teachers of colleges and universities. Therefore, many independent enrollment questions come from textbooks but are higher than textbooks, and some of them are based on the knowledge of higher mathematics. It can not only find out the students' basic knowledge and mathematics ability, but also select excellent talents for colleges and universities. For high school students, if they can master some advanced mathematics knowledge, whether it is the college entrance examination, competition, or independent entrance examination is of great benefit. It is necessary for high school teachers to study these problems with higher mathematics background, and to infiltrate these knowledge well in the course of self-enrollment or competition in peacetime, so that the students can improve their knowledge and ability. The first chapter of this paper mainly describes the purpose and significance of the study, the current study of the results of the independent admission examination, some related concepts and research methods and ideas. The second chapter classifies and discusses the background of higher mathematics, which is mainly based on the concept of higher mathematics, the famous mathematics of higher mathematics, the theorem and formula of higher mathematics. Take the higher mathematics thought as the background; take the mathematics culture as the background. Then, from "high viewpoint" under the independent enrollment mathematics question teaching guiding ideology, under the high viewpoint "independent enrollment classroom teaching experiment," under the high viewpoint "independent enrollment mathematics question teaching example", This paper analyzes and studies the necessity and teaching form of mathematics course permeating higher mathematics from three aspects, and proves through experiments that the teaching innovation under the "high viewpoint" in the classroom teaching of independent enrollment is very effective. Finally, the author gives the corresponding teaching suggestions for mathematics teaching in senior high school and the relevant points for further study in this paper.
【学位授予单位】：宁波大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6
本文编号：2363212
[Abstract]:Colleges and universities began to implement independent entrance examination, which makes the reform of college entrance examination more beautiful, and its appearance conforms to the demand of social development for the diversity of talents. Since Fudan University, Tsinghua University, Shanghai Jiaotong University and other institutions of higher learning implemented independent enrollment, the national colleges and universities "deepen the independent selection and admission reform" enrollment program has been issued one after another. Moreover, the "alliance" enrollment has emerged in universities and colleges. The "Alliance of Excellence", headed by the Harbin University of Technology, includes nine institutions of higher learning, and the "NATO Alliance", headed by Peking University, includes 11 institutions of higher learning. Led by Tsinghua University, the Union includes seven institutions of higher learning. The Kyoto Union, led by Beijing University of Science and Technology, includes five institutions of higher learning. The independent enrollment examination questions are mostly set by the teachers of colleges and universities. Therefore, many independent enrollment questions come from textbooks but are higher than textbooks, and some of them are based on the knowledge of higher mathematics. It can not only find out the students' basic knowledge and mathematics ability, but also select excellent talents for colleges and universities. For high school students, if they can master some advanced mathematics knowledge, whether it is the college entrance examination, competition, or independent entrance examination is of great benefit. It is necessary for high school teachers to study these problems with higher mathematics background, and to infiltrate these knowledge well in the course of self-enrollment or competition in peacetime, so that the students can improve their knowledge and ability. The first chapter of this paper mainly describes the purpose and significance of the study, the current study of the results of the independent admission examination, some related concepts and research methods and ideas. The second chapter classifies and discusses the background of higher mathematics, which is mainly based on the concept of higher mathematics, the famous mathematics of higher mathematics, the theorem and formula of higher mathematics. Take the higher mathematics thought as the background; take the mathematics culture as the background. Then, from "high viewpoint" under the independent enrollment mathematics question teaching guiding ideology, under the high viewpoint "independent enrollment classroom teaching experiment," under the high viewpoint "independent enrollment mathematics question teaching example", This paper analyzes and studies the necessity and teaching form of mathematics course permeating higher mathematics from three aspects, and proves through experiments that the teaching innovation under the "high viewpoint" in the classroom teaching of independent enrollment is very effective. Finally, the author gives the corresponding teaching suggestions for mathematics teaching in senior high school and the relevant points for further study in this paper.
【学位授予单位】：宁波大学
【学位级别】：硕士
【学位授予年份】：2017
【分类号】：G633.6
【参考文献】
相关期刊论文 前10条
1 孙庆括;;近十年高考数学文化命题的特征分析及启示[J];数学通报;2017年01期
2 唐恒钧;张维忠;;澳大利亚数学统一评估试题中的文化研究[J];数学通报;2016年03期
3 徐文兵;解礁;;一道2015年北京大学自主招生数学试题评析[J];数学通讯;2016年06期
4 史嘉;;2015年“数学文化高考题”分类欣赏[J];数学通讯;2015年24期
5 史嘉;;浅谈数学文化试题的意义、分类及借鉴[J];数学通讯;2015年16期
6 梁懿涛;;一类函数不等式的切线背景、构造及解决方案分析[J];数学通讯;2014年22期
7 查正开;;返璞归真,函数为本——2014年华约自主招生数学试题评析[J];中学数学;2014年11期
8 王开民;;2014年“北约”自主招生数学试题评析[J];数学通讯;2014年Z2期
9 查正开;;2014年北约联盟自主招生数学试题评析[J];中小学数学(高中版);2014年03期
10 祝敏君;倪莹莹;陈清华;;2013年“卓越联盟”自主招生数学试卷评析[J];福建中学数学;2014年Z1期
相关重要报纸文章 前4条
1 姜澎;;自主招生为何不得不“后退”[N];文汇报;2010年
2 郑若玲;;大学自主招生之忧思[N];中国社会科学报;2009年
3 熊丙奇;;大学自主招生联考只是一个过渡[N];文汇报;2009年
4 姜澎;王乐;;大学自主招生 明年“五校联考”[N];文汇报;2009年
相关博士学位论文 前1条
1 樊本富;中国高校自主招生研究[D];厦门大学;2009年
相关硕士学位论文 前4条
1 尹沛红;高等院校自主招生考试数学试题分析[D];陕西师范大学;2013年
2 陈秀群;高校自主招生考试中的数学试题研究[D];山东师范大学;2013年
3 郭丽云;“高观点”下的中学数学问题分析及教学探索[D];华东师范大学;2010年
4 李云杰;“高观点”下的中学数学的实践与认识[D];福建师范大学;2005年
，本文编号：2363212
本文链接：https://www.wllwen.com/zhongdengjiaoyulunwen/2363212.html
