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例题、习题教学是数学教学的重要组成部分,是知识、技能、思想和方法联系起来的一条纽带,通过例题、习题教学,达到强化三基、传授方法、揭示规律、启发思维、激励创新、培养能力的目的.但是,学生在学习过程中,往往容易形成思维定势,套用固定的解题模式,造成思维的僵化.因而在例题、习题教学中,当学生获得某种基本解法后,应通过改变题目的条件、探求题目的结论,改变情境等多种途径,强化学生对知识和方法的理解、掌握和变通,帮助学生对问题进行多方向、多角度、多层次的思考.使思维不局限于固定的理解和某一固定的模式,从而提出新问题或获得同一问题的多种解答或多种结果.
Examples and exercises are an important part of mathematics teaching. They are a link between knowledge, skills, thoughts, and methods. Through examples and exercises, students can strengthen three basic skills, teach methods, reveal laws, inspire thinking, encourage innovation, and cultivate. The purpose of the ability. However, in the learning process, students tend to form a fixed mindset, apply a fixed problem-solving pattern, and cause rigid thinking. Therefore, in the example problem and exercise teaching, when the students obtain a certain basic solution, they should pass Change the conditions of the subject, explore the conclusions of the topic, change the situation and other ways, strengthen the students’ understanding, mastering and adapting to the knowledge and methods, help the students to multi-directional, multi-angle, multi-level thinking on the problem. For a fixed understanding and a fixed pattern, so as to propose new problems or obtain multiple solutions or multiple results of the same problem.