从信息效应的视野审视数学推理教学  

Examine Mathematical Reasoning Education from the Perspective of Information Effect

作　　者：方均斌[1] 周文[1] 

机构地区：[1]温州大学数学与信息科学学院

出　　处：《数学教育学报》2013年第3期12-17,共6页Journal of Mathematics Education

基　　金：浙江省教育科学规划2011年度重点研究课题——信息观下的教育理论探索——基于数学教育的理论与实践研究平台(SB111)

摘　　要：从信息效应的视野审视数学推理模式.数学推理并非完全按照演绎方式进行,而是一种由＂上位信息＂得出＂下位信息＂的过程,这个过程的产生往往是由＂上位信息＂中的某个＂信息碎片＂激活了认知结构中的某个信息加工模块而得出＂下位信息＂的.若把传统的数学演绎推理视作＂依概率为1＂的信息加工模式,在日常数学教学活动中则需要更多关注＂依概率不为1或不确定概率＂的信息加工方式.信息效应观将有助于拓广数学推理教学研究的视野.As we examine the Mathematical reasoning mode from the perspective of information effect,we will find that Mathematical reasoning doesn’t proceed completely according to the deductive method;it’s a process of obtaining ＂latter information＂ from ＂former information＂ and this process usually come about by obtaining ＂latter information＂ from a certain information processing module in the cognitive structure which is activated by some ＂information fragment＂ in the ＂former information＂.If we regard the traditionally consistently used Mathematical deductive reasoning as the information processing models of ＂the probability of one＂,we should pay more attention to the information processing models of ＂the probability is not one or it’s undetermined＂ in daily Mathematical education activities.The information effect view will contribute to broaden the horizons of researches of Mathematical reasoning education.

关 键 词：信息效应 信息模块 上位信息 下位信息 数学推理 

分 类 号：G420[文化科学—课程与教学论]