基于思维能力培养的微积分概念教学

Conceptual Teaching of Calculus Aiming to Train Thinking Ability

微积分概念的大多数内容融图形、图像、图表、数学符号、文字语言于一体,是培养学生思维能力极好的素材。微积分教学中应做到:激发矛盾转化的思维,培养辩证逻辑思维能力;数形结合,促进形象思维能力的发展;注重反例、反驳教学,促进创造性思维能力的形成;注重负迁移影响,促进抽象思维的顺利发展。

Because most calculus concepts include graph,image,diagram,mathmatic symbols,language and so on,they are very helpful and useful to train students＇ thinking ability.Therefore,in the calculus teaching,special attention should be given to the following aspects,such as inspiring the conflict transformation thinking,cultivating the dialectical thinking,linking number with graph to promote the development of vivid thinking,paying close attention to counter-example teaching to promote creative thinking and attaching importance to the influence of negative tranfer to develop abstract thinking.