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“解题教学”是当前世界上数学教学改革中的热门话题,尤其在美国更把“解题教学”放在十分突出的地位。不少苏美教育专家还编写了“如何解题”的专著。“解题教学”当前在我国,同样是中学数学教学改革中一项需要深入探讨的重要而艰巨的课题。而数学综合题因其知识涉及面广,知识之间联系较为复杂,所用数学方法也较多,因此综合题对巩固和加深数学基础知识与基本技能,培养学生综合运用所学知识分析解决问题,提高思维能力都具有重要的作用。因此,加强对综合题的解题教学的探讨与研究,如怎样选题、怎样引导学生分析探索解题途经、怎样评讲、怎样处理综合题解题教学中的若干关系等都是值得我们认真摸索与总结的实际问题。
“Teaching of problem-solving” is a hot topic in the current mathematics teaching reform in the world, especially in the United States, putting “solving problem teaching” in a very prominent position. Many Soviet-American education experts also wrote monographs on how to solve problems. “Teaching problem-solving” is currently in our country and is also an important and arduous task that needs in-depth discussion in the teaching reform of middle school mathematics. The mathematics comprehensive question involves a wide range of knowledge, the relationship between the knowledge is more complex, and more mathematical methods are used, so the comprehensive problem to consolidate and deepen the basic knowledge of mathematics and basic skills, training students to use the knowledge learned to analyze and solve problems. Improving thinking skills all play an important role. Therefore, to strengthen the discussion and research on the problem-solving teaching of comprehensive questions, such as how to select topics, how to guide students to analyze and explore the problem-solving way, how to comment, how to deal with a number of relations in the comprehensive problem-solving problem teaching are worthy of our serious Exploring and summarizing the practical issues.