高中数学教材湘教版与人教A版三角函数内容的比较研究
发布时间：2019-05-18 18:42
【摘要】：进入21世纪以来,世界上各个国家相继出台新的教育政策,推动着我国的数学教育改革。教育改革取得的巨大进步让我国人民都兴奋不已。我国教育部于2003年4月,向全国各个省份颁布《普通高中数学课程标准(试行)》这一标准,(在下文中我们统一将课程标准简称《新课标》),全国各省份统一在2004年正式开始进行新一轮高中课程改革,在《新课标》的基本理念和要求下,有湘教版高中数学教材,人教A版高中数学教材,人教B版高中数学教材,苏教版高中数学教材,北师版高中数学教材这五套教材通过审定。湘教版教材作为地方教材,人教A版教材适用于全国各个省份。所以本文的研究将选择湘教版教材和人教A版教材这个两个版本进行对比研究。这两套教材之间有什么异同?各自有什么特点呢?有什么成功之处和不足呢?这些问题的研究为我国高中数学教材在三角函数部分的修改、编写提供借鉴和参考。函数在整个高中数学中占有举足轻重的位置,函数的思想贯穿了整个高中数学教材,起着主导性的作用。函数又是一个重要的数学模型—描述变量之间的依赖关系。三角函数是函数的一个分支,是一种特殊的函数,用三角函数可以刻画函数周期现象,三角函数也是解决实际问题的一种特殊的工具和手段。三角函数在其它生活、生产、天文、地理等各个方面都有重要的作用。三角函数的学习是加深学生对函数定义的进一步理解,深化学生们对周期函数和函数思想的认识。进而提高学生们运用函数的思想、概念解决问题的能力。本文通过对高中湘教版、人教A版教材三角函数部分的比较,得出结论如下：1. 两个版本的高中数学教材在栏目设置上,各有特点。相同的是湘教版教材和人教A版教材都非常重视数和形的结合,均在教材正文空白处添加各种各样的图表,让学生们观察图形,在结合实例更好的理解。不同的是两个版本的教材在数学文化、数学建模、数学实验、信息技术与教材的整合、例习题题量、难度、素材选取这几个方面存在很大差异,并且两个版本这个方面的差异,可谓是各显优势。2. 湘教版教材突出数学与自然界各种自然现象,作为一门科学与其他学科之间的联系,与社会之间的关系。数学史、数学文化、数学建模、数学实验这四个栏目合理的设置在各个章节之间,然后将这些知识进行渗透,让学生们在参与的过程中,发现数学的奥秘,发现数学究竟是怎么样的一门学科,学习数学是在学习什么。学生们阅读这些材料,在欣赏的同时,要有发现美的眼睛,发现数学是美丽的,感到是数学是一门有用的学科,它与生活生产之间的联系,学习数学能够解决许多实际问题,这些阅读材料设置目的就是激发学生们内心潜在的学习数学的兴趣,潜移默化的培养学生的创新意识,创造能力,实践能力。3. 人教A版教材内容设置各种形式的思考题、探索题,旨在通过问题的方式让学生主动思考并让学生们养成独立思考的能力,让学生们的逻辑能力和思维能力都得到提升,让学生们产生浓厚的数学学习兴趣,发自内心的对数学的充满喜爱之情,这样让学生们的学习兴趣能够被激发出来。知识编排上比较系统化,使用了信息技术,学生们运用信息技术的思想也得到充分体现,引导学生们借助信息技术研究有关数学问题,并运用其进行解题。
[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.
【学位授予单位】：东北师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
本文编号：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.
【学位授予单位】：东北师范大学
【学位级别】：硕士
【学位授予年份】：2015
【分类号】：G633.6
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