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如果说逻辑思维用于数学的推理证明,那么直觉思维可用于数学的发明或发现。直觉思维具有思维产生的突发性、思维过程的非逻辑性和跳跃性、思维对象的完整性、思维结果的创造性等基本特征。在数学解题中直觉思维起着启动和导向的作用。数学直觉思维的培养是可以通过训练提高的。扎实的基础是产生直觉的源泉,渗透数学的审美观念,重视解题教学,设置直觉思维的意境。
If logical thinking is used to justify mathematics, intuitive thinking can be used in the discovery or discovery of mathematics. Intuitive thinking has the basic characteristics of the sudden emergence of thinking, the non-logical and leaping of the thinking process, the integrity of the thinking object and the creativeness of the thinking result. Intuitive thinking plays a role of starting and guiding in solving mathematical problems. The training of mathematical intuition thinking can be improved through training. Solid foundation is the source of intuition, infiltration of aesthetic concepts of mathematics, emphasis on problem-solving teaching, set the mood of intuitive thinking.