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发散性思维是不依常规,寻求变异,对给出的材料、信息从不同角度,向不同方向,用不同方法或途径进行分析和解决问题的一种思维方式。发散性思维反映了创造性思维“尽快联想,尽多作出假设和提出多种解决问题方案”的特点,因而成为创造性思维的一种主要形式。数学猜想实际上是一种数学想象,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。数学方法理论的
Divergent thinking is unconventional, seeking variation, given the material, information from different angles, in different directions, using different methods or ways to analyze and solve the problem of a way of thinking. Divergent thinking reflects the creative thinking “as soon as possible to make assumptions and put forward a variety of solutions to the problem of” features, and thus become a major form of creative thinking. Mathematical conjecture is actually a kind of mathematical imagination, which is a tactic of human thinking in exploring the laws and essences of mathematics. It is based on the existing factual experience, the use of non-logical means to get a hypothesis, is a reasonable reasoning. Mathematical method theory