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数学知识是经过严密的逻辑推理而形成的系统化的理论知识总和,是按照知识之间特定的内在联系组成的结构系统。每一部分数学知识既是前面旧知识的延伸和生长,又是后续新知识的基础和铺垫。因此,教师在设计练习时必须把握内在联系所构成的数学知识结构,从整体上研读教材,从系统上寻求教材内容的内在联系,设计科学合理的对比、变式、题组练习,在练习中使学生掌握知识、形成技能、发展智力、培养能力,提高练习的实效性。
Mathematical knowledge is the sum of systematic theoretical knowledge formed through close logical reasoning and is a structural system composed of specific internal relations among knowledge. Each part of the mathematical knowledge is not only the extension and growth of the former old knowledge, but also the foundation and bedding of the new knowledge. Therefore, in the design practice, teachers must grasp the structure of the mathematical knowledge formed by the internal connection, study the textbook as a whole, seek the internal connection of the textbook content from the system, design scientific and reasonable contrast, variant, group exercises, in the practice Enable students to master knowledge, form skills, develop intelligence, develop ability and improve practical effectiveness.