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B.A奥加涅相在《中小学数学教学法》中指出:“在学习数学过程中有效利用习题,对学生在课堂上独立地、积极地进行认识活动是有助益的。这些习题是使学生掌握系统数学基础知识、技能和技巧的最重要的手段,又是学习数学过程中教学活动的重要形式……”。笔者认为,充分利用课本例题、习题进行教学是中学数学教学中不容忽视的问题。教学中对课本典型例题、习题进行深入剖析,从不同的角度分析解题思路,是培养学生分析和解决问题的重要途径。它可以帮助学生沟通教材内部之间的联系,克服“定势”思维的消极因素,对于开
BA Oganezian pointed out in the “Mathematics Teaching Method for Primary and Secondary School Students”: “Effective use of exercises in the process of learning mathematics is helpful for students to carry out cognitive activities independently and actively in class. These problems are to make students The most important means for mastering the basic knowledge, skills, and techniques of system mathematics is an important form of teaching activities in the learning process of mathematics...”. The author believes that making full use of textbook examples and exercises to teach is a problem that cannot be ignored in mathematics teaching in middle school. The analysis of the typical examples of textbooks and exercises in the teaching, and the analysis of problem-solving ideas from different perspectives are important ways to train students to analyze and solve problems. It can help students communicate the links between textbooks and overcome the negative factors of “fixed” thinking.