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以不完全归纳推理为主要形式得出的猜想是一种合情推理,是我们发现新事物、探究新策略的有效途径,但这种推理是一种似真推理。为了提高猜想的合理性,我们在应用这种不完全归纳推理时,应当注意尽量多地考察被归纳的对象,被考察的对象越多、范围越广,结论的可靠性就越大。如果有可能,我们还可以采用其他论证手段加以证明。对此,近期再次执教“分数的基本性质”一课,感悟特别深刻,现整理如下与大家分享。教学案例:
The conjecture, which is based on incomplete inductive reasoning, is a kind of affective reasoning, which is an effective way for us to discover new things and explore new strategies. However, this kind of reasoning is a plausible reasoning. In order to improve the rationality of the conjecture, we should pay attention to as many as possible to examine the induction of the object, the more the object to be investigated, the wider the scope, the greater the reliability of the conclusion. If possible, we can prove it by other means of argument. In this regard, the recent re-coaching “basic nature of scores ” a lesson, particularly profound insights, is now organized as follows to share with you. teaching sample: