数学教育研究的“双向建构”和“二重原理”思想的实践——以基于特征的数学命题教学理论的研究思路为例  

Practice in the Thought of "Bidirectional Construction" and "Double Principle" on Mathematics Education Research——Introducing the Train of Thought on Mathematics Proposition Teaching Theory Research Based on the Characteristic

作　　者：郑庆全[1] 涂荣豹[2] 

机构地区：[1]山东教育学院数学系,山东济南250013 [2]南京师范大学数学与计算机科学学院,江苏南京210097

出　　处：《数学教育学报》2008年第6期33-36,共4页Journal of Mathematics Education

摘　　要：“双向建构”和“二重原理”思想，巧妙、辩证、客观地阐述了在数学教育研究中，数学科学和教育科学这两门科学与数学教育科学之间的微妙关系．基于特征的数学命题教学理论研究就是在这一思想的指导下展开的．这一思想可以运用到其他类似交叉学科中；同时，可以帮助我们重新认识“数学”与“教育”；但在实际运用时，要注意“实事求是”．The thought of the ＂bilateral construction＂ and ＂the double principle＂ expounds the delicate relationships between mathematics and mathematics education and between education and mathematics education. Under which also develops Mathematics proposition teaching research theory based on the characteristic, whose understanding is deepened to through this thought utilization to, and some beneficial enlightenment has been obtained： The thoughts can be applied to other subject; We can obtain the new understanding about ＂math＂ and ＂education＂; The thoughts should be combined with truth.

关 键 词：数学教育研究 双向建构 二重原理 实践 

分 类 号：G420[文化科学—课程与教学论]