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数学是一门研究数量关系和空间形式的科学,具有严密的符号体系、独特的公式结构、形象的图像语言,对培养学生思维品质的作用无可替代。严谨性是数学科学的重要特征之一。它要求数学结论的叙述必须精练、准确,而对结论的推理论证和系统安排都要求既严格,又周密。但是由于学生知识所限以及不同的教学目标要求,教学中对一些数学概念在学生能够理解基础上不一定强调其严谨性。学生受到能力、知识限制,有时反而越解释学生越糊涂,因此数学教学中一定要把握好严谨性,哪些地方需要强调严谨,哪些地方需要模糊,值得我们平时教学中思考。
Mathematics is a science that studies the relationship between quantity and space. With strict symbol system, unique formula structure and image language, it plays an irreplaceable role in cultivating students’ thinking quality. Rigidity is one of the important characteristics of mathematical science. It requires that the narration of mathematical conclusions must be concise and accurate, and both the reasoning and the system arrangement of conclusions must be both rigorous and careful. However, due to limited knowledge of students and different teaching objectives, some mathematics concepts in teaching do not necessarily emphasize the rigor of students based on their understanding. Students are limited by their abilities and knowledge. Sometimes, the more they explain the students the more confused, so mathematics teaching must grasp the rigor, which places need to be rigorous and which places need to be vague, which is worth our consideration in teaching.