含探究活动的教学过程的随机数学模型  

Stochastic Mathematical Model with Enquiring Activities in Teaching Process

作　　者：毕渔民[1,2] 王玉文[1] 

机构地区：[1]哈尔滨师范大学数学科学学院,黑龙江哈尔滨150025 [2]黑龙江省教育学院,黑龙江哈尔滨150080

出　　处：《数学的实践与认识》2012年第20期130-134,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11071051);2010年黑龙江省新世纪教学改革项目(重点)

摘　　要：研究传授与活动相结合的教学过程.运用随机分析的方法,建立随机微分方程支配的数学模型.应用Girsanov定理证明了由教学经验归纳出的结论:为实现学生数学与素养的发展,应该将传授教学与活动教学两种基本教学形态有机地结合在一起.The paper is focused on the teaching process with instruction and acting. By means of stochastic analysis, the mathematical model controlled by stochastic differential equation is established. At same time, by Girsanov theorem, it is also induced that instruction teaching and activity are combined in order to develop the mathematical quality of students.

关 键 词：教学过程 活动教学 传授教学 随机模型 

分 类 号：O211.63[理学—概率论与数理统计]