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猜测是数学理论的“胚胎”。数学猜测是对研究的数学对象或问题进行观察、实验、比较、归纳等一系列的思维活动,依据已有的教材或知识经验,做出符合一定规律或事实的推断性想象。大数学家弗赖登塔尔说过:“真正的数学家,常常凭借数学的直觉思维作出各种猜想,然后加以证实的”。可见,猜测是培养学生创新意识的一种重要思维方式,同时也是发展数学,学好教学的重要思维方式之一。
Guess is the “embryo” of mathematical theory. Mathematical guessing is a series of thinking activities such as observing, experimenting, comparing, and summarizing the mathematical objects or problems of the study. Based on the existing teaching materials or knowledge and experience, it makes inferential imagination that meets certain laws or facts. The big mathematician, Freidenthal, said: “The real mathematician often uses the intuitive thinking of mathematics to make a variety of conjectures and then confirm it.” It can be seen that guessing is an important way of thinking in cultivating students’ sense of innovation, and it is also one of the important ways of thinking in developing mathematics and learning teaching.