关于泊松积分计算逆向思维过程的剖析  

Analysis of Reverse Thinking Process about the Poisson's Integral Calculation

作　　者：陈建华[1] 

机构地区：[1]扬州大学数学科学学院,江苏扬州225002

出　　处：《阴山学刊（自然科学版）》2017年第4期5-7,共3页Yinshan Academic Journal(Natural Science Edition)

基　　金：江苏省高校品牌专业建设工程资助项目(PPZY2015B109);江苏省教改课题数学文化融入大学数学教学的研究与实践资助项目(2015JSJG290)

摘　　要：本文通过对泊松积分计算的思维过程的分析,指出逆向思维的四个阶段:质疑,逆向思维的始发;概括,逆向思维的递进;推理,逆向思维的深入;判断,逆向思维的完成.大学数学解题教学中,有时需要打破常规思维方式,运用逆向思维,从问题的相反方向去思考,以求得新的解答,激发创新意识.This paper take Poisson's integral calculation for example,based on the analysis of the thinking process when calculating the integral,point out four stages of reverse thinking : doubting is the beginning of reverse thinking,generalizing is the progressive of reverse thinking,inference is the penetrating of reverse thinking,judging is the finish of reverse thinking. Sometimes we need to break the conventional thinking mode and use reverse thinking to think from the opposite of the problem in university mathematics problem-solving teaching in order to catch new answers and provoke innovation consciousness.

关 键 词：泊松积分 二重积分 逆向思维 解题策略 

分 类 号：G642[文化科学—高等教育学]