期刊文献+

HPM视角下高等数学教学研究:以无穷级数为例 被引量:3

On College Mathematics Teaching from Perspective of HPM: The Case of Infinite Series
下载PDF
导出
摘要 以高等数学中无穷级数概念为例,考察了无穷级数的概念的历史,并对其重构,据此进行了教学设计.我们相信HPM在大学数学教学设计中同样适用,有必要从理论和实践两方面进一步深入开展HPM视角下的大学数学教学研究. In this paper, the history of infinite series is examined. The genetic approach to its teaching is designed according to the reconstructed history. The design shows that HPM is very useful in teaching college mathematics. We believe HPM is very useful in college mathematics teaching and there is a need to study it theoretically and practically.
作者 王彩芬 傅海伦 曹荣荣 WANG Caifen;FU Hailun;CAO Rongrong(School of Mathematics and Statistics,Shandong Normal University,Jinan,Shandong 250358,China;School of Mathematics and Statistics,Qingdao University,Qingdao,Shandong 266071,China)
出处 《高等数学研究》 2019年第3期53-56,46,共5页 Studies in College Mathematics
基金 教育部人文社会科学研究项目(17YJA880020) 山东省高等学校人文社会科学研究重点项目(J17RA233)
关键词 HPM 无穷级数 格兰迪级数 发生教学法 数学史 HPM infinite series Grandi series genetic approach to teaching mathematics history
  • 相关文献

参考文献7

二级参考文献96

  • 1徐章韬,梅全雄.HPM视角下的数学教材编写[J].数学教育学报,2009,18(3):14-17. 被引量:22
  • 2汪晓勤.HPM视角下的一元二次方程概念教学设计[J].中学数学教学参考(下半月初中),2006(12):50-52. 被引量:5
  • 3张小明,汪晓勤.复数概念的HPM教学案例[J].中学数学教学参考(上半月高中),2007(6):4-7. 被引量:12
  • 4上海市教育委员会.上海市中小学数学课程标准(试行稿)[M].上海:上海教育出版社,2004.
  • 5Kline M. Logic Versus Pedagogy [J]. American Mathematical-Monthly, 1970, 77(3): 264-282.
  • 6Jones P S. The History of Mathematics as a Teaching Tool [R]. NCTM, Historical Topics for the Mathematics Classroom. 1969.
  • 7Katz V. Using History to Teach Mathematics: An International Perspective [M]. Washington: The Mathematical Association of America, 2000.
  • 8Freudental H. Didactical Phenomenology of Mathematical Structures [M]. Dordrecht: Reidel Publishing Company, 1983.
  • 9Fauvel J. Using history in mathematics education [J]. For the Learning of Mathematics, 1991, 11 (2) .. 3-6.
  • 10Tzanakis C,Arcavi A. Integrating history of mathmatics in the classroom: an analytic survey[A]. In: Fauvel J, van Maanen J (Eds.). History in Mathematics Education[C]. Dordrecht: Kluwer Academic Publishers, 2000: 201-240.

共引文献162

同被引文献7

引证文献3

二级引证文献7

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部