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合情推理是一种合乎情理的推理,主要包括观察、实验、比较、不完全归纳、类比、猜想、估算、联想、自觉、顿悟、灵感等思维形式.这些思维形式正是课标中要求的数学思维能力的具体体现,它有助于提高学生科学严谨的思维习惯及直觉探索和发现能力.根据课标要求,各版本教材在编写时也非常重视合情推理能力的培养,下面以北师版必修5第一章“数列”教与学为例来谈谈其中所蕴涵合情推理思想.
Coherence reasoning is a reasonable reasoning, including observation, experiment, comparison, incomplete induction, analogy, guess, estimation, association, consciousness, epiphany, inspiration and other forms of thinking. Mathematics thinking ability, it helps to improve students' rigorous thinking habits and intuition to explore and discover ability.According to the requirements of the standard, all versions of textbooks also attach great importance to the cultivation of co-rationality reasoning ability, Version of compulsory 5 first chapter “number of columns ” teaching and learning as an example to talk about the implied reasoning reasoning.