在中学数学教学中开展数学实验的实践
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摘要
数学实验是高等数学教育改革的产物,在大学开设数学实验已成为共识。而在中学,把数学实验及时引入到中学来,对中学教育改革必将起到重要而深远的影响。
在数学实验活动中,要让学生以实验为载体去观察、实验、分析、猜想、归纳、发现,探究科学结论的形成和发展,使教学不止局限于知识本身,还成为再创造、再发现的教学,提高他们的科学素养。在教学中适度有效地开展“数学实验”,不仅能使学生掌握必要的数学知识,更重要的是有助于提高他们数学学习的积极性,培养他们乐于思考探索的品质,有利于提高他们动手操作及分析问题、解决问题的能力,是一种在新课程教学中值得借鉴的教学方法。
本文调查了数学实验课在中学开展的状况,概述了中学数学实验课的内涵与分类,进行了教学实践,对实践活动进行剖析,提出教学原则与教学步骤,分析了中学数学实验课的作用。
The reform in advanced mathematics leads to mathematics experiment, it is widely agreed that it is necessary to set up mathematic experiment in universities. Therefore in the high school, mathematics experiments will certainly have a great influence on high school education reform.
During the course of the mathematics experiments, it is important for students to observe, analyze, explore, guess and sum up through doing experiment to find out the formation and development of scientific conclusions which not only makes teaching go beyond knowledge itself, but make student teach themselves so that it can enhance the student's scentific inner-quality.
Developing "mathematics experiment" effectively and properly helps the students understand the basic mathematics knowledge. What's more, it helps them to enhance their interest in learning mathematics,cultivate their virtue of exploration and encourage them to develop their thinking ability to practise, analyze and solve a problem. In addition, it's also a teaching method which is well worth introducing to the new curriculum teaching.
This eassy has investigated the situations of the mathematics experiment class in today's high school, and sumed the contentation and classification of high school mathematic experiment class.Meanwhile, it has a deep analyses of the practice activity, too.And it puts forward the teaching principle as well as steps and analyzes the function of mathematics experiment in high school.
在数学实验活动中,要让学生以实验为载体去观察、实验、分析、猜想、归纳、发现,探究科学结论的形成和发展,使教学不止局限于知识本身,还成为再创造、再发现的教学,提高他们的科学素养。在教学中适度有效地开展“数学实验”,不仅能使学生掌握必要的数学知识,更重要的是有助于提高他们数学学习的积极性,培养他们乐于思考探索的品质,有利于提高他们动手操作及分析问题、解决问题的能力,是一种在新课程教学中值得借鉴的教学方法。
本文调查了数学实验课在中学开展的状况,概述了中学数学实验课的内涵与分类,进行了教学实践,对实践活动进行剖析,提出教学原则与教学步骤,分析了中学数学实验课的作用。
The reform in advanced mathematics leads to mathematics experiment, it is widely agreed that it is necessary to set up mathematic experiment in universities. Therefore in the high school, mathematics experiments will certainly have a great influence on high school education reform.
During the course of the mathematics experiments, it is important for students to observe, analyze, explore, guess and sum up through doing experiment to find out the formation and development of scientific conclusions which not only makes teaching go beyond knowledge itself, but make student teach themselves so that it can enhance the student's scentific inner-quality.
Developing "mathematics experiment" effectively and properly helps the students understand the basic mathematics knowledge. What's more, it helps them to enhance their interest in learning mathematics,cultivate their virtue of exploration and encourage them to develop their thinking ability to practise, analyze and solve a problem. In addition, it's also a teaching method which is well worth introducing to the new curriculum teaching.
This eassy has investigated the situations of the mathematics experiment class in today's high school, and sumed the contentation and classification of high school mathematic experiment class.Meanwhile, it has a deep analyses of the practice activity, too.And it puts forward the teaching principle as well as steps and analyzes the function of mathematics experiment in high school.
引文
[1]王汝发,张志强.数学实验与实验数学J.哈尔滨师专学报,2000,(4).
[2]谢云荪,张志让等.数学实验M.北京:科学出版社,1999.
[3]盛中平,王晓辉.什么是数学实验J.高等理科教育,2001,(2).
[4]盛中平,王晓辉.什么是数学实验[J].高等理科教育,2001,(2).
[5]曲长虹.对数学实验教学的认识与研究,中学数学,2006:2.
[6]张奠宙,过伯祥.数学方法论稿[M].上海:上海教育出版社,1996:9-10.
[7]骆魁敏:高中数学虚拟实验探究式教学模式[J].现代教育技术,2003,13(3):55-57.
[8]殷红,李忠海:中学数学实验的教学模式探讨[J].数学教育学报,2001,10(3):75.
[1]萧树铁,曹之江.21世纪人才的数学素质—与高等数学的教学改革高等教育面向21世纪教学内容和课程体系改革经验汇编[M].北京:高等教育出版社,1997.
[2]萧树铁.数学实验[M].北京:高等教育出版社1999:7(1).
[3]骆魁敏.高中数学虚拟实验探究式教学模式[J].现代教育技术,2003,12.
[4]殷红,李忠海.中学数学实验的教学模式探讨[J].数学教育学报,2001,10.
[5]刘红.数学实验和数学建模是培养学生应用数学思想方法的有效途径[J].成都航空职业技术学院学报,2001,3.
[6]黎雁.“数学实验”是提高数学素质的好方法[J].天津成人高等学校联合学报,2002,6.
[7]盛中平,王晓辉.什么是数学实验[J].高等理科教育,2001,8.
[8]王兵.数学实验与数学素质的培养[J].山东电人学报,2003,7.
[9]曹一鸣.数学实验教学模式探究[J].课程·教材·教法,2003,9.
[10]曲长虹.对数学实验教学的认识与研究[J].中学数学,2006,2.
[11]林光来.数学实验教学的认识与思考[J].高中数学教与学,2000,5.
[12]孙立博.浅谈中学数学实验[J].数学通讯,2005,9.
[13]江启源.数学实验[M].北京:高等教育出版社,1999,7(1).
[14]江启源.数学实验与数学建模[M].北京:高等教育出版社,2001,5.
[15]李尚志,陈发来.《数学实验》课程建设的认识与实践[M].北京:高等教育出版社,2001,6.
[15]傅仲鹅等.数学实验[M].北京:科学出版社,2000,9(1).
[16]谢云荪,张志让.数学实验[M].北京:科学出版社,2000,9(1).
[17]陈耀忠.关于数学试验教学的实践和思考[J].中学数学杂志,2004,6.
[18]徐江培.“数学实验”教学初探[J].中学数学教学参考,2005,1-2.
[19]戴志生.数学实验教学的认识与实践[J].数学通讯,2003,1.
[20]王国江,周松.浅析数学实验教与学[J].数学通讯,2003,7.
[21]林光来.对数学实验教学的理解[J].浙江现代教育技术,2005,4.
[2]谢云荪,张志让等.数学实验M.北京:科学出版社,1999.
[3]盛中平,王晓辉.什么是数学实验J.高等理科教育,2001,(2).
[4]盛中平,王晓辉.什么是数学实验[J].高等理科教育,2001,(2).
[5]曲长虹.对数学实验教学的认识与研究,中学数学,2006:2.
[6]张奠宙,过伯祥.数学方法论稿[M].上海:上海教育出版社,1996:9-10.
[7]骆魁敏:高中数学虚拟实验探究式教学模式[J].现代教育技术,2003,13(3):55-57.
[8]殷红,李忠海:中学数学实验的教学模式探讨[J].数学教育学报,2001,10(3):75.
[1]萧树铁,曹之江.21世纪人才的数学素质—与高等数学的教学改革高等教育面向21世纪教学内容和课程体系改革经验汇编[M].北京:高等教育出版社,1997.
[2]萧树铁.数学实验[M].北京:高等教育出版社1999:7(1).
[3]骆魁敏.高中数学虚拟实验探究式教学模式[J].现代教育技术,2003,12.
[4]殷红,李忠海.中学数学实验的教学模式探讨[J].数学教育学报,2001,10.
[5]刘红.数学实验和数学建模是培养学生应用数学思想方法的有效途径[J].成都航空职业技术学院学报,2001,3.
[6]黎雁.“数学实验”是提高数学素质的好方法[J].天津成人高等学校联合学报,2002,6.
[7]盛中平,王晓辉.什么是数学实验[J].高等理科教育,2001,8.
[8]王兵.数学实验与数学素质的培养[J].山东电人学报,2003,7.
[9]曹一鸣.数学实验教学模式探究[J].课程·教材·教法,2003,9.
[10]曲长虹.对数学实验教学的认识与研究[J].中学数学,2006,2.
[11]林光来.数学实验教学的认识与思考[J].高中数学教与学,2000,5.
[12]孙立博.浅谈中学数学实验[J].数学通讯,2005,9.
[13]江启源.数学实验[M].北京:高等教育出版社,1999,7(1).
[14]江启源.数学实验与数学建模[M].北京:高等教育出版社,2001,5.
[15]李尚志,陈发来.《数学实验》课程建设的认识与实践[M].北京:高等教育出版社,2001,6.
[15]傅仲鹅等.数学实验[M].北京:科学出版社,2000,9(1).
[16]谢云荪,张志让.数学实验[M].北京:科学出版社,2000,9(1).
[17]陈耀忠.关于数学试验教学的实践和思考[J].中学数学杂志,2004,6.
[18]徐江培.“数学实验”教学初探[J].中学数学教学参考,2005,1-2.
[19]戴志生.数学实验教学的认识与实践[J].数学通讯,2003,1.
[20]王国江,周松.浅析数学实验教与学[J].数学通讯,2003,7.
[21]林光来.对数学实验教学的理解[J].浙江现代教育技术,2005,4.