【摘要】：高等院校開始實施自主招生考試使得高考改革錦上添花,它的出現(xiàn)是順應(yīng)社會發(fā)展對人才多樣化的需求.自從復(fù)旦大學(xué)、清華大學(xué)、上海交通大學(xué)等高等院校實行自主招生之后,全國各高等院�！吧罨灾鬟x拔錄取改革試驗”招生方案陸續(xù)出臺.而且,高等院校中出現(xiàn)了“聯(lián)盟”招生,以哈工大為首的“卓越聯(lián)盟”包括9所高等院校,以北京大學(xué)為首的“北約聯(lián)盟”包括11所高等院校,以清華大學(xué)為首的“華約聯(lián)盟”包括7所高等院校.以北京科技大學(xué)為首的“京都聯(lián)盟”包括5所高等院校.自主招生試題多由高等院校教師自行命制,因此,有很多自主招生試題源于課本卻高于課本,一些試題的命制是以高等數(shù)學(xué)知識為背景.它既能考查出學(xué)生的基礎(chǔ)知識的掌握和數(shù)學(xué)能力的考核,又能替高校真正選拔出優(yōu)秀人才.對于高中生而言,如果能夠掌握些高等數(shù)學(xué)知識,無論是高考、競賽、還是自主招生考試都是有很大的益處.這就需要高中教師能夠研究這些有高等數(shù)學(xué)背景的題目,在平時自主招生上課或競賽輔導(dǎo)課能夠很好的滲透這些知識,使學(xué)生在知識和能力上有所提升.本文第一章主要闡述了研究的目的和意義,現(xiàn)階段對自主招生考試研究的成果,一些相關(guān)概念的界定和研究的方法和思路.第二章是對自主招生數(shù)學(xué)試題的高等數(shù)學(xué)背景進行分類討論,主要有以高等數(shù)學(xué)概念為背景;以高等數(shù)學(xué)著名數(shù)學(xué)題目為背景;以高等數(shù)學(xué)定理、公式為背景;以高等數(shù)學(xué)思想為背景;以數(shù)學(xué)文化為背景.然后,從“高觀點”下的自主招生數(shù)學(xué)問題的教學(xué)指導(dǎo)思想、高觀點”下的自主招生課堂教學(xué)實驗、高觀點”下的自主招生數(shù)學(xué)問題的教學(xué)案例,三個方面分析研究數(shù)學(xué)課滲透高等數(shù)學(xué)的必要性和教學(xué)形式,通過實驗證實了自主招生課堂教學(xué)進行“高觀點”下的教學(xué)創(chuàng)新是非常有成效的.最后給出與高中數(shù)學(xué)教學(xué)了相應(yīng)的教學(xué)建議以及本文今后有待進一步研究的相關(guān)之處。
[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.
【學(xué)位授予單位】：寧波大學(xué)
【學(xué)位級別】：碩士
【學(xué)位授予年份】：2017
【分類號】：G633.6

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