高中数学应用问题的教学研究
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摘要
20世纪下半叶以来,数学与其它学科的联系更加密切,数学应用的巨大发展是数学发展的显著特征之一。培养和提高中学生的数学应用意识,使学生掌握提出、分析和解决具有实际意义的或在相关学科、生产、生活中的数学问题,准确而灵活地运用数学语言研究和表述问题,是中学数学教育教学的迫切要求。
本文首先分析了国内外数学应用问题教学的现状及影响高中数学应用问题教学的因素:接着阐明了应用问题的含义和高中数学应用问题的层次以便我们更好地研究高中数学应用问题的教学。在研究高中数学应用问题教学的过程中,认真分析了现行高中数学教材及高考中的应用问题,并就此详细说明了怎样实施应用问题的教学;为了准确地得到应用问题教学的策略,对高中生数学应用问题的喜爱程度及存在的问题进行了调查研究;对高中数学应用问题教学的两个重要方面:数学建模及研究性学习也做了具体全面的阐述。研究高中数学应用问题的教学策略后还强调了数学阅读和计算能力的培养。
本文最后根据自己的理论分析及事实研究给出了高中数学应用问题教学的初步研究方案,并通过事实肯定了理论,检验了方案的可靠性。
Since the second half of 20 century, mathematics and other subjects have been more closely linked. The great development of applied mathematics is one of the notable features in mathematical development. Mathematics has become the need for people to take part in social activities and be engaged in productive labor. Therefore in high school math teaching it is a urgent demand that teachers should cultivate and improve students' awareness of applied mathematics, in order to get them to master how to ask, analysize and solve the mathematitical problems of practical use or those arising in related subjects, production and daily life; and to get students to apply mathematical language studies and present problems accurately and flexiably.
This paper analyzed the domestic and international mathematical application of the status and impact of high school math teaching the causes of the problem. Then clarify the meaning and application of the application of the high school level so that we can better study the application of high school teaching. In studying the problem of teaching high school in the process of careful analysis of the current high school mathematics textbooks and college entrance examination of questions and a detailed description of how the application of the teaching. To be precise application of teaching strategies, the application of high school students on the mathematics of love and the problems were studied. Application of high school teaching of the two important aspects: mathematical modeling and research study has also done a comprehensive set out specific. On the application of high school math teaching strategy also stressed the reading and mathematical ability to calculate the training.
Finally, in accordance with their own theories and analysis of the facts presented on the issue of high school math teaching in the initial research programme, and through the fact that certain theories, testing the reliability of the programme.
本文首先分析了国内外数学应用问题教学的现状及影响高中数学应用问题教学的因素:接着阐明了应用问题的含义和高中数学应用问题的层次以便我们更好地研究高中数学应用问题的教学。在研究高中数学应用问题教学的过程中,认真分析了现行高中数学教材及高考中的应用问题,并就此详细说明了怎样实施应用问题的教学;为了准确地得到应用问题教学的策略,对高中生数学应用问题的喜爱程度及存在的问题进行了调查研究;对高中数学应用问题教学的两个重要方面:数学建模及研究性学习也做了具体全面的阐述。研究高中数学应用问题的教学策略后还强调了数学阅读和计算能力的培养。
本文最后根据自己的理论分析及事实研究给出了高中数学应用问题教学的初步研究方案,并通过事实肯定了理论,检验了方案的可靠性。
Since the second half of 20 century, mathematics and other subjects have been more closely linked. The great development of applied mathematics is one of the notable features in mathematical development. Mathematics has become the need for people to take part in social activities and be engaged in productive labor. Therefore in high school math teaching it is a urgent demand that teachers should cultivate and improve students' awareness of applied mathematics, in order to get them to master how to ask, analysize and solve the mathematitical problems of practical use or those arising in related subjects, production and daily life; and to get students to apply mathematical language studies and present problems accurately and flexiably.
This paper analyzed the domestic and international mathematical application of the status and impact of high school math teaching the causes of the problem. Then clarify the meaning and application of the application of the high school level so that we can better study the application of high school teaching. In studying the problem of teaching high school in the process of careful analysis of the current high school mathematics textbooks and college entrance examination of questions and a detailed description of how the application of the teaching. To be precise application of teaching strategies, the application of high school students on the mathematics of love and the problems were studied. Application of high school teaching of the two important aspects: mathematical modeling and research study has also done a comprehensive set out specific. On the application of high school math teaching strategy also stressed the reading and mathematical ability to calculate the training.
Finally, in accordance with their own theories and analysis of the facts presented on the issue of high school math teaching in the initial research programme, and through the fact that certain theories, testing the reliability of the programme.
引文
[1]张奠宙.数学的明天[M].南宁:广西教育出版社,1999
[2]张思明.中学数学建模教学的实践与探索[M].北京:北京教育出版社,1998
[3]刘晓玫.社会发展对数学的需求与数学教育改革[J].数学教育学报,2000(8)
[4]全日制普通高级中学教科书(必修)数学(B) 北京:人民教育出版社,2004
[5]王尚志.培养学生的应用意识是数学课程的重要目标[J].数学教育学报,2002
[6]方明一.积极稳妥地进行数学课程改革[J].高中数学课程教材讲习班专家讲课讲稿..2001昆明
[7]普通高中新课程标准(实验).人民教育出版社,2004
[8]彭聃龄.普通心理学.北京师范大学出版社,2005
[9]中学数学教学参考 2007(4)
[10]章飞.加强数学应用教学,全面提高学生素质[J].数学教育学报,1998(4)
[11]王学良.解应用题常用的五种数学模型.中学数学教与学,2001.12
[12]曹才翰,蔡金法.数学教育学概论.江苏教育出版社,1989
[13]吴宪芳,郭熙汉等.数学教育学.华中师范大学出版社,1997
[14]王升.研究性学习的理论和实践.高等教育出版社,2002
[15]亢力.培养学生数学应用能力的几点体会.天津教育出版社,2003(2)
[16]严士健.面向21世纪的中国数学教育[C].南京:江苏教育出版社,1994
[17]中国教育学会中学数学教学专业委员会.迎接21世纪挑战的数学教育[C].北京:人民教育出版社,1999
[18]章飞.加强数学应用教学,全面提高学生素质[J].数学教育学报,1998(4)
[19]杨骞.着眼于数学应用的数学教育改革[J].中学数学教学参考,1999(9)
[20]张启凡,甘小林,冯永明.中学数学应用教育的课题开发与研究[J].中学数学研究,2000(4)
[21]刘晓玫.社会发展对数学的需求与数学教育改革[J].数学教育学报,2000(8)
[22]张华.课程与教学论[M].上海:上海教育出版社,2000
[23]林崇德,申继亮.中学数学教学心理学.北京教育出版社,2001
[24]张程.高中数学学习途径与解题方法[M].北京:北京师范大学出版社,1990
[25]任子朝.高考数学能力考查与题型设计.高等数学出版社,1998
[26]查有梁,李以渝.数学思想的横向渗透.四川教育出版社,1990.10
[27]蔡上鹤.新中国中学数学教材建设51年.数学通报,2002(10)
[28]刘培杰.新编中学数学解题方法全书.哈尔滨工业大学出版社,2007
[29]韩进之.教育心理学纲要[M].北京:人民教育出版社,2003
[30]邹明.在数学教学中培养学生应用意识的实践与思考.中学杂志,2002
[31]姜启源.数学建模.高等教育出版社,1993
[32]何浩明.培养学生应用能力的两点思考.教育与管理,2001(7)
[2]张思明.中学数学建模教学的实践与探索[M].北京:北京教育出版社,1998
[3]刘晓玫.社会发展对数学的需求与数学教育改革[J].数学教育学报,2000(8)
[4]全日制普通高级中学教科书(必修)数学(B) 北京:人民教育出版社,2004
[5]王尚志.培养学生的应用意识是数学课程的重要目标[J].数学教育学报,2002
[6]方明一.积极稳妥地进行数学课程改革[J].高中数学课程教材讲习班专家讲课讲稿..2001昆明
[7]普通高中新课程标准(实验).人民教育出版社,2004
[8]彭聃龄.普通心理学.北京师范大学出版社,2005
[9]中学数学教学参考 2007(4)
[10]章飞.加强数学应用教学,全面提高学生素质[J].数学教育学报,1998(4)
[11]王学良.解应用题常用的五种数学模型.中学数学教与学,2001.12
[12]曹才翰,蔡金法.数学教育学概论.江苏教育出版社,1989
[13]吴宪芳,郭熙汉等.数学教育学.华中师范大学出版社,1997
[14]王升.研究性学习的理论和实践.高等教育出版社,2002
[15]亢力.培养学生数学应用能力的几点体会.天津教育出版社,2003(2)
[16]严士健.面向21世纪的中国数学教育[C].南京:江苏教育出版社,1994
[17]中国教育学会中学数学教学专业委员会.迎接21世纪挑战的数学教育[C].北京:人民教育出版社,1999
[18]章飞.加强数学应用教学,全面提高学生素质[J].数学教育学报,1998(4)
[19]杨骞.着眼于数学应用的数学教育改革[J].中学数学教学参考,1999(9)
[20]张启凡,甘小林,冯永明.中学数学应用教育的课题开发与研究[J].中学数学研究,2000(4)
[21]刘晓玫.社会发展对数学的需求与数学教育改革[J].数学教育学报,2000(8)
[22]张华.课程与教学论[M].上海:上海教育出版社,2000
[23]林崇德,申继亮.中学数学教学心理学.北京教育出版社,2001
[24]张程.高中数学学习途径与解题方法[M].北京:北京师范大学出版社,1990
[25]任子朝.高考数学能力考查与题型设计.高等数学出版社,1998
[26]查有梁,李以渝.数学思想的横向渗透.四川教育出版社,1990.10
[27]蔡上鹤.新中国中学数学教材建设51年.数学通报,2002(10)
[28]刘培杰.新编中学数学解题方法全书.哈尔滨工业大学出版社,2007
[29]韩进之.教育心理学纲要[M].北京:人民教育出版社,2003
[30]邹明.在数学教学中培养学生应用意识的实践与思考.中学杂志,2002
[31]姜启源.数学建模.高等教育出版社,1993
[32]何浩明.培养学生应用能力的两点思考.教育与管理,2001(7)