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1解题活动与数学思考解数学题是数学教师的基本功.那么在解题活动中应更关心什么?实践中,人们已经关注到了:得出正确答案后,考虑优化解题思路,简缩思维过程;对不同解法沟通联系,关注内在关系;思考问题的深层结构;概括解题思想,提炼一般性方法;对问题作变式思考;等.这些关注点主要放在了问题和解法研究方面.笔者认为,除此之外,在分析和解决问题的同时,还要相应分配注意力,关注产生问题的基础和依据,回归知识本原,领悟内容本质,发掘知识的内在关系以及基本性质和功
1 problem-solving activities and mathematical thinking Solving mathematical problems is the basic skills of mathematics teachers. So in the problem-solving activities should be more concerned about what? In practice, people have been concerned about: After the correct answer, consider optimizing the problem-solving ideas, to reduce the thinking process ; To communicate with different solutions, to pay attention to the internal relations; to think about the deep structure of the problem; to summarize the problem-solving ideas, to refine the general methods; to think differently about the problems; etc. These concerns are mainly on the research of problem-solving methods. In addition, while analyzing and solving the problems, we should also pay attention to each other, pay attention to the foundations and bases of the problems, return to the primitive nature of knowledge, understand the essence of the content, and explore the intrinsic relations of knowledge as well as the basic nature and merit