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“学生能通过观察、实验、归纳、类比等获得数学猜想,并进一步寻求证据、给出证明或举出反例;能清晰、有条理地表达自己的思考过程,做到言之有理、落笔有据;在与他人交流的过程中,能运用数学语言合乎逻辑地进行讨论与质疑。”新课程初中数学教学中,改变了过去只重视演绎推理、轻视合情推理能力的状况,强调演绎能力、合情推理能力都是科学发现的必备的能力,两者不可偏废。笔者在多年的教学中发现不少教师由于受旧教材的影响,容易混淆这二者的学习要求,错失了培养学生的创新精神和实践能力的重要机会;同时也增加了学习的难度,影响了学习的效果。如何做好“合情”推理与“合理”推理的教学及衔接,我总结了以下几点,取得了较好的效果。
“Students can get mathematical conjecture through observation, experiment, induction, analogy, etc., and further seek evidence, give proof or give counterexamples; can express their own thinking process clearly and systematically, In the process of communication with others, the use of mathematical language can be logically discussed and questioned. ”“ The new curriculum junior high school mathematics teaching, changing the past emphasis only on deductive reasoning, ignoring the situation of reasoning reasoning ability, emphasizing the ability to deduce , Reasonable reasoning skills are the necessary scientific discovery capabilities, both can not be neglected. Many years of teaching, I found that many teachers are confused with the learning requirements of the old teaching materials because of the influence of the old teaching materials. They have missed the important opportunity of cultivating students’ innovative spirit and practical ability. At the same time, they also increased the difficulty of learning and influenced the The effect of learning. How to do a good job of teaching and cohesion of ”reasonable “ reasoning and ”reasonable " reasoning, I have summarized the following points, and achieved good results.