浅论数学猜想的作用与构成

数学猜想作为一种数学想象,是人的思维在探索数学规律、本质时的一种策略。它是建立在已有的事实经验基础上,运用非逻辑手段而得到的一种假定,是一种合理推理。在科学技术迅猛发展的今天,人们的教育观念已经发生了根本的转变,社会需要的是高素质的智能型人才,因此,学校的数学教育在重点培养学生逻辑思维的同时,也越来越重视非逻辑思维的培养,特别是不失时机地引导学生进行数学猜想,笔者就学习数学史的体会在本文中对数学猜想、数学猜想的作用和构成作一点阐述。

On Functions and Constitution in Mathematical Guess

As a kind of mathematical imagination,mathematical guess is a strategy when people explore law and the essence of mathematics.It is reasonable conjecture by using non-logical means,which is based on the previous facts and experience.Nowadays,when science and technology is developing rapidly,people's education conception has changed thoroughly and what the society needs is intelligent qualified personnel.So,the mathematics education in college should not only focus on training students' logical thinking but also more and more attach importance to the training of non-logical thinking,especially losing no time to guide the students to mathematical guess.The author set forth mathematical guess,the function and the constitution of mathematical guess on what she has learned from the history of mathematics.