高中數(shù)學教材湘教版與人教A版三角函數(shù)內(nèi)容的比較研究
發(fā)布時間：2019-05-18 18:42
【摘要】：進入21世紀以來,世界上各個國家相繼出臺新的教育政策,推動著我國的數(shù)學教育改革。教育改革取得的巨大進步讓我國人民都興奮不已。我國教育部于2003年4月,向全國各個省份頒布《普通高中數(shù)學課程標準(試行)》這一標準,(在下文中我們統(tǒng)一將課程標準簡稱《新課標》),全國各省份統(tǒng)一在2004年正式開始進行新一輪高中課程改革,在《新課標》的基本理念和要求下,有湘教版高中數(shù)學教材,人教A版高中數(shù)學教材,人教B版高中數(shù)學教材,蘇教版高中數(shù)學教材,北師版高中數(shù)學教材這五套教材通過審定。湘教版教材作為地方教材,人教A版教材適用于全國各個省份。所以本文的研究將選擇湘教版教材和人教A版教材這個兩個版本進行對比研究。這兩套教材之間有什么異同?各自有什么特點呢?有什么成功之處和不足呢?這些問題的研究為我國高中數(shù)學教材在三角函數(shù)部分的修改、編寫提供借鑒和參考。函數(shù)在整個高中數(shù)學中占有舉足輕重的位置,函數(shù)的思想貫穿了整個高中數(shù)學教材,起著主導性的作用。函數(shù)又是一個重要的數(shù)學模型—描述變量之間的依賴關系。三角函數(shù)是函數(shù)的一個分支,是一種特殊的函數(shù),用三角函數(shù)可以刻畫函數(shù)周期現(xiàn)象,三角函數(shù)也是解決實際問題的一種特殊的工具和手段。三角函數(shù)在其它生活、生產(chǎn)、天文、地理等各個方面都有重要的作用。三角函數(shù)的學習是加深學生對函數(shù)定義的進一步理解,深化學生們對周期函數(shù)和函數(shù)思想的認識。進而提高學生們運用函數(shù)的思想、概念解決問題的能力。本文通過對高中湘教版、人教A版教材三角函數(shù)部分的比較,得出結論如下：1. 兩個版本的高中數(shù)學教材在欄目設置上,各有特點。相同的是湘教版教材和人教A版教材都非常重視數(shù)和形的結合,均在教材正文空白處添加各種各樣的圖表,讓學生們觀察圖形,在結合實例更好的理解。不同的是兩個版本的教材在數(shù)學文化、數(shù)學建模、數(shù)學實驗、信息技術與教材的整合、例習題題量、難度、素材選取這幾個方面存在很大差異,并且兩個版本這個方面的差異,可謂是各顯優(yōu)勢。2. 湘教版教材突出數(shù)學與自然界各種自然現(xiàn)象,作為一門科學與其他學科之間的聯(lián)系,與社會之間的關系。數(shù)學史、數(shù)學文化、數(shù)學建模、數(shù)學實驗這四個欄目合理的設置在各個章節(jié)之間,然后將這些知識進行滲透,讓學生們在參與的過程中,發(fā)現(xiàn)數(shù)學的奧秘,發(fā)現(xiàn)數(shù)學究竟是怎么樣的一門學科,學習數(shù)學是在學習什么。學生們閱讀這些材料,在欣賞的同時,要有發(fā)現(xiàn)美的眼睛,發(fā)現(xiàn)數(shù)學是美麗的,感到是數(shù)學是一門有用的學科,它與生活生產(chǎn)之間的聯(lián)系,學習數(shù)學能夠解決許多實際問題,這些閱讀材料設置目的就是激發(fā)學生們內(nèi)心潛在的學習數(shù)學的興趣,潛移默化的培養(yǎng)學生的創(chuàng)新意識,創(chuàng)造能力,實踐能力。3. 人教A版教材內(nèi)容設置各種形式的思考題、探索題,旨在通過問題的方式讓學生主動思考并讓學生們養(yǎng)成獨立思考的能力,讓學生們的邏輯能力和思維能力都得到提升,讓學生們產(chǎn)生濃厚的數(shù)學學習興趣,發(fā)自內(nèi)心的對數(shù)學的充滿喜愛之情,這樣讓學生們的學習興趣能夠被激發(fā)出來。知識編排上比較系統(tǒng)化,使用了信息技術,學生們運用信息技術的思想也得到充分體現(xiàn),引導學生們借助信息技術研究有關數(shù)學問題,并運用其進行解題。
[Abstract]:Since the 21st century, every country in the world has successively introduced a new education policy, which has promoted the reform of the mathematics education in our country. The great progress made in the reform of education has made the people of our country very excited. In April,2003, the Ministry of Education of China issued the Standard for the Mathematics Curriculum of the General High School (Trial)> this standard to all provinces of the country, (in the following, we unify the curriculum standards for short), and all the provinces of the country have formally started a new round of high school curriculum reform in 2004. Under the basic ideas and requirements of the New Curriculum Standard, there are the senior high school mathematics teaching materials, the high school mathematics teaching material of the People's Education, the high school mathematics teaching material of the People's Education B, the high school mathematics teaching material of the Soviet version, and the five sets of teaching materials of the high school mathematics teaching material of the North Normal University. As a local teaching material, the teaching material of Hunan teaching is applicable to all provinces of the country. Therefore, the study of this paper will select the two versions of the teaching material of Hunan and the version of the teaching material of the People's Education. What is the difference between the two sets of teaching materials? What are the characteristics of each other? What are the successes and shortcomings? The research of these problems can be used for reference and reference for the modification of the trigonometric function part of the high school mathematics teaching material in our country. The function plays an important role in the whole high school mathematics, and the thought of the function runs through the whole high school mathematics teaching material and plays a leading role. The function is also an important mathematical model to describe the dependence of variables. The trigonometric function is a branch of the function, it is a kind of special function, the function cycle phenomenon can be characterized by the trigonometric function, and the trigonometric function is a special tool and means to solve the actual problem. The trigonometric function plays an important role in other aspects of life, production, astronomy, geography and so on. The learning of the trigonometric function is to deepen the students' understanding of the function definition, and to deepen the students' understanding of the periodic function and the function thought. So as to improve the students' ability to use the function's thought and concept to solve the problem. The conclusion is as follows:1. Through the comparison of the three-function part of the teaching material of the senior high school and the human-teaching A edition, the conclusion is as follows:1. The two versions of the high school mathematics teaching material are on the column setting, each has the characteristic. The same is the combination of the number and shape of the teaching material of the Hunan teaching and the teaching material of the A-edition, and all kinds of charts are added in the blank of the text of the teaching material, so that the students can observe the figures and better understand in the combination of the examples. The difference between the two versions of the teaching materials in the mathematical culture, the mathematical modeling, the mathematics experiment, the information technology and the teaching material, the amount of the title, the difficulty and the material selection of the two versions, and the difference between the two versions, is the obvious advantage. The teaching material of Xiangjiao Edition highlights the natural phenomena of mathematics and nature, as a link between science and other subjects and the relationship between society and society. The four columns of the mathematical history, the mathematical culture, the mathematical modeling and the mathematical experiment are reasonably arranged between the chapters, and then the knowledge is infiltrated, so that the students find the secret of the mathematics in the process of the participation, and find out how the mathematics is a subject, Learning mathematics is learning what. The students read these materials, while enjoying the same time, to find the beautiful eyes, find that the mathematics is beautiful, feel that the mathematics is a useful subject, it is the connection with the life production, the study mathematics can solve many practical problems, The purpose of these reading materials is to stimulate the students' interest in learning mathematics, and to develop the creative consciousness, creative ability and practical ability of the students. The content of the teaching materials of the People's Education A is set up in various forms of thinking, exploring the question, and aiming at the students to think through the way of the problem and make the students develop the ability of independent thinking, so that the students' logical ability and the thinking ability are promoted, so that the students have a strong interest in the mathematics study, The heart of the heart is full of affection for mathematics, so that the students' interest in learning can be stimulated. The knowledge arrangement is more systematic, the information technology is used, and the students' idea of using the information technology is fully reflected, and the students are guided to study the related mathematical problems with the help of the information technology and use them to solve the problems.
【學位授予單位】：東北師范大學
【學位級別】：碩士
【學位授予年份】：2015
【分類號】：G633.6
本文編號：2480243
[Abstract]:Since the 21st century, every country in the world has successively introduced a new education policy, which has promoted the reform of the mathematics education in our country. The great progress made in the reform of education has made the people of our country very excited. In April,2003, the Ministry of Education of China issued the Standard for the Mathematics Curriculum of the General High School (Trial)> this standard to all provinces of the country, (in the following, we unify the curriculum standards for short), and all the provinces of the country have formally started a new round of high school curriculum reform in 2004. Under the basic ideas and requirements of the New Curriculum Standard, there are the senior high school mathematics teaching materials, the high school mathematics teaching material of the People's Education, the high school mathematics teaching material of the People's Education B, the high school mathematics teaching material of the Soviet version, and the five sets of teaching materials of the high school mathematics teaching material of the North Normal University. As a local teaching material, the teaching material of Hunan teaching is applicable to all provinces of the country. Therefore, the study of this paper will select the two versions of the teaching material of Hunan and the version of the teaching material of the People's Education. What is the difference between the two sets of teaching materials? What are the characteristics of each other? What are the successes and shortcomings? The research of these problems can be used for reference and reference for the modification of the trigonometric function part of the high school mathematics teaching material in our country. The function plays an important role in the whole high school mathematics, and the thought of the function runs through the whole high school mathematics teaching material and plays a leading role. The function is also an important mathematical model to describe the dependence of variables. The trigonometric function is a branch of the function, it is a kind of special function, the function cycle phenomenon can be characterized by the trigonometric function, and the trigonometric function is a special tool and means to solve the actual problem. The trigonometric function plays an important role in other aspects of life, production, astronomy, geography and so on. The learning of the trigonometric function is to deepen the students' understanding of the function definition, and to deepen the students' understanding of the periodic function and the function thought. So as to improve the students' ability to use the function's thought and concept to solve the problem. The conclusion is as follows:1. Through the comparison of the three-function part of the teaching material of the senior high school and the human-teaching A edition, the conclusion is as follows:1. The two versions of the high school mathematics teaching material are on the column setting, each has the characteristic. The same is the combination of the number and shape of the teaching material of the Hunan teaching and the teaching material of the A-edition, and all kinds of charts are added in the blank of the text of the teaching material, so that the students can observe the figures and better understand in the combination of the examples. The difference between the two versions of the teaching materials in the mathematical culture, the mathematical modeling, the mathematics experiment, the information technology and the teaching material, the amount of the title, the difficulty and the material selection of the two versions, and the difference between the two versions, is the obvious advantage. The teaching material of Xiangjiao Edition highlights the natural phenomena of mathematics and nature, as a link between science and other subjects and the relationship between society and society. The four columns of the mathematical history, the mathematical culture, the mathematical modeling and the mathematical experiment are reasonably arranged between the chapters, and then the knowledge is infiltrated, so that the students find the secret of the mathematics in the process of the participation, and find out how the mathematics is a subject, Learning mathematics is learning what. The students read these materials, while enjoying the same time, to find the beautiful eyes, find that the mathematics is beautiful, feel that the mathematics is a useful subject, it is the connection with the life production, the study mathematics can solve many practical problems, The purpose of these reading materials is to stimulate the students' interest in learning mathematics, and to develop the creative consciousness, creative ability and practical ability of the students. The content of the teaching materials of the People's Education A is set up in various forms of thinking, exploring the question, and aiming at the students to think through the way of the problem and make the students develop the ability of independent thinking, so that the students' logical ability and the thinking ability are promoted, so that the students have a strong interest in the mathematics study, The heart of the heart is full of affection for mathematics, so that the students' interest in learning can be stimulated. The knowledge arrangement is more systematic, the information technology is used, and the students' idea of using the information technology is fully reflected, and the students are guided to study the related mathematical problems with the help of the information technology and use them to solve the problems.
【學位授予單位】：東北師范大學
【學位級別】：碩士
【學位授予年份】：2015
【分類號】：G633.6
【參考文獻】
相關期刊論文 前1條
1 史寧中,孔凡哲,李淑文;課程難度模型:我國義務教育幾何課程難度的對比[J];東北師大學報;2005年06期
相關碩士學位論文 前1條
1 彭上觀;高中數(shù)學新課標實驗教材內(nèi)容結構和使用情況的若干比較[D];華南師范大學;2005年
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