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众所周知,客观事物并不是彼此孤立的,而是互相联系、互相制约的。储存在人脑中的记忆表象、知识经验也是互相联系、彼此制约的。特别是在某种刺激下(如数学的讲授、问题讨论等),会使这种联系更为突出、密切,进而往往诱发联想,若能主动地运用辩证思维方法加工制作,则能创造出新颖独特的数学思维形象,即产生数学的创造想象。 那么,数学的思维活动是怎样由联想跳到想象的呢?形成的方式是怎样的呢? 实际上,想象形成的过程自始至终都贯穿着运动、变化、发展这条主线,也是一个对立统一的过程,即辩证思维是由联想到想象转化的一个关键环节。特别是在创造想象的过程中,其关键作用更为突出。
As we all know, the objective things are not isolated from each other, but are linked and mutually restricted. The memory representations, knowledge and experience stored in the human brain are also interrelated and mutually constraining. Especially under certain stimuli (such as mathematics lectures, problem discussions, etc.), this connection will be more prominent and close, and it will often induce associations. If we can actively use the dialectical thinking method to process, we can create new ideas. The unique mathematical thinking image creates the creative imagination of mathematics. Then, how does mathematic thinking move from imagination to imagination? What is the method of formation? In fact, the process of imagination formation has been through the main line of movement, change, and development from beginning to end. It is also a process of unity of opposites. That is, dialectical thinking is a key link from imagination to imagination. Especially in the process of creating imagination, its key role is even more prominent.