【摘要】：解析幾何知識(shí)在歷年高考所占的分值都很大,但是學(xué)生對(duì)其概念的理解,數(shù)學(xué)結(jié)論的探究,卻困難重重,導(dǎo)致解析幾何課堂教學(xué)氣氛不佳,學(xué)生學(xué)習(xí)積極性不高,教學(xué)效率低下.本文基于功能強(qiáng)大的動(dòng)態(tài)幾何軟件GeoGebra,研究該軟件在解析幾何高中數(shù)學(xué)教與學(xué)中的應(yīng)用,力圖改善上述現(xiàn)狀.通過(guò)文獻(xiàn)梳理結(jié)合教學(xué)實(shí)踐,筆者發(fā)現(xiàn)解析幾何教學(xué)中一些不能令人滿意的現(xiàn)狀.利用GeoGebra對(duì)“直線與圓”和“圓錐曲線”兩大章的教學(xué)內(nèi)容進(jìn)行教學(xué)設(shè)計(jì),結(jié)合課堂實(shí)際對(duì)案例進(jìn)行分析,然后提供了一些供學(xué)生自己操作的范例.對(duì)這些案例或范例的分析,發(fā)現(xiàn)了GeoGebra用于解析幾何教學(xué)的一些優(yōu)勢(shì),也發(fā)現(xiàn)了一些問(wèn)題.本研究的結(jié)論是,Geo Gebra介入解析幾何教學(xué)后:(1)學(xué)生學(xué)習(xí)解析幾何的學(xué)習(xí)積極性、學(xué)習(xí)興趣都有所提高;(2)教學(xué)中能有效地滲透數(shù)形結(jié)合思想、提高動(dòng)態(tài)幾何想象能力;(3)能夠提高教學(xué)效率,改善解析幾何課堂現(xiàn)狀.最后,本研究對(duì)教師、軟件開發(fā)者及教材編寫者提出了若干建議.
[Abstract]:Analytic geometry knowledge occupies a large score in the college entrance examination over the years, but students' understanding of its concept and the exploration of mathematical conclusions are very difficult, which leads to the poor atmosphere of analytical geometry classroom teaching and students' low enthusiasm for learning. Teaching efficiency is low. Based on the powerful dynamic geometry software GeoGebra, this paper studies the application of the software in mathematics teaching and learning in analytical geometry high school, and tries to improve the above situation. Through literature combing and teaching practice, the author finds some unsatisfactory present situation in analytic geometry teaching. The teaching contents of "straight line and circle" and "conic curve" are designed by using GeoGebra, the case is analyzed in combination with the classroom practice, and some examples for students to operate themselves are provided. The analysis of these cases and examples reveals some advantages and problems of GeoGebra in analytic geometry teaching. The conclusion of this study is: (1) the students' enthusiasm and interest in learning analytic geometry have been improved; (2) the idea of combination of numbers and shapes can be effectively infiltrated in the teaching. Improve the ability of dynamic geometric imagination; (3) can improve the teaching efficiency and improve the present situation of analytical geometry class. Finally, some suggestions are given to teachers, software developers and textbook writers.
【學(xué)位授予單位】：蘇州大學(xué)
【學(xué)位級(jí)別】：碩士
【學(xué)位授予年份】：2016
【分類號(hào)】：G633.6

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本文編號(hào)：2294029