期刊文献+

论数学思想方法视域下的解析几何课程改革 被引量:16

Curriculum Reform of Analytic Geometry from the View of Mathematics Idea and Method
下载PDF
导出
摘要 依据布鲁纳的结构主义课程理论、发现学习理论和数学中的结构主义理论,在解析几何最核心的思想方法即数形结合的思想、几何变换的思想的统领下,构建了解析几何的整体知识框架;将体现相同数学思想方法、采用相同研究方法的内容进行了优化整合;在相关内容中突现、贯彻了解析几何的思想方法.通过以上改革,对经典的解析几何内容进行了教育学的再加工.从而,优化了解析几何的知识结构,有利于培养学生的创新意识和创新能力. On the basis of Bruner's structuralism theory and structural theory of mathematics, this paper tried to construct the knowledge frame of analytic geometry from the view of core idea and method such as geometry transformation and combining figure with shape. At the same time, the knowledge embodying the same idea and research method was optimized and arranged. Through the curriculum reform, the classical content of analytic geometry was reprocessed and the knowledge structure was optimized. All the efforts benefit teaching and learning and help to cultivate the innovation ability of students.
作者 巩子坤
出处 《曲阜师范大学学报(自然科学版)》 CAS 2006年第1期125-128,共4页 Journal of Qufu Normal University(Natural Science)
关键词 结构主义 数学思想方法 解析几何 课程改革 structuralism mathematics idea and method analytic geometry curriculum reform
  • 引文网络
  • 相关文献

参考文献6

二级参考文献13

  • 1Grattan-Guinness I. Companion Encyclopedia of the History and Philosophy of Mathematical Sciences (Vol. I) [M]. Lodon: Routledge, 1994. 11~12.
  • 2Fauvel J, Maanen J van (eds.). History in Mathematics Education [M]. Dordrecht: Kluwer Academic Publishers, 2000.
  • 3Struik D J. The origin of L'Hopital's rule [J]. Mathematics Teacher, 1963, 56 (4): 257~260.
  • 4Struik D J. A Source Book In Mathematics [M]. Princeton: Princeton University Press, 1986.
  • 5Kline M. A proposal for the high school mathematics curriculum [J]. Mathematics Teacher,1966, 59(4): 322~330.
  • 6Kline M. Logic versus pedagogy [J].American Mathematical Monthly, 1970, 77(3): 264~282.
  • 7Albers D J, Alexanderson G L, (eds.). Mathematical People: Profiles and Interview [M]. Boston: Birkh?user, 1985. 171.
  • 8Struik D J. A Concise History of Mathematics [M]. London: G Bell & Sons, 1954.
  • 9Kline M. Carl B. Boyer--In memoriam [J]. Historia Mathematica, 1976, 3: 387~394.
  • 10Macdonald I D. Insight and intuition in mathematics [J]. Educational Studies in Mathematics, 1978, 9: 411~420.

共引文献167

同被引文献42

引证文献16

二级引证文献30

;
使用帮助 返回顶部