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数学是以思维为核心的科学,演绎思维与归纳思维是最基本的思维方式。前者是对数学猜测进行论证判断其真伪以及运用一般真理去解决个别问题的思维,而后者却是对若干个别现象进行分析提炼,概括出共同规律,进而提出猜测的一种思维。数学归纳思维是指思维由特殊的具体的认识推进到一般抽象的认识的方法。作为认识现实世界的归纳思维,它可以帮助人们在实践的基础上发现事物的新规律,提出新的数学命题,建立数学猜想,提供研究线索和指出前进方向。
Mathematics is the core of thinking science, deductive thinking and inductive thinking is the most basic way of thinking. The former is based on mathematical guessing to determine the authenticity of the argument and the use of general truth to solve individual problems thinking, while the latter is a number of individual phenomena analysis and refinement, summarizes the common law, and then put forward a kind of speculation thinking. Mathematical inductive thinking refers to thinking from a specific specific understanding of the general approach to abstract understanding. As an inductive thinking of understanding the real world, it can help people discover new laws of things on the basis of practice, put forward new mathematical propositions, establish mathematical conjectures, provide research clues and point out the way forward.