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数学是一门融知识性、思想性和方法性于一体的重要学科,其中一些基本的概念、公式、定理往往蕴涵着极其丰富的智能价值,只要教师在教学中,善于用某种思想或方法引导学生去发掘、去探索,常常可以发现出许多更为有用的东西,从而克服“课堂上教师讲的懂了,下课后学生解题又不会”等“懂而不会”现象的存在,加深学生对数学知识潜在智能价值的全面理解和掌握,对于深化数学学习,提升解题能力十分有益.例如:在基本不等式a~2+b~2≥2ab(a,b∈R)(*)的教学中,
Mathematics is an important discipline that integrates knowledge, thought and methodology. Some basic concepts, formulas and theorems often contain extremely rich intellectual values. As long as teachers are good at teaching, they are good at using some kind of thought or method to guide Students to explore, to explore, you can often find many more useful things, thus overcoming “Class teacher to understand, after class, students will not ” and so on “Understand rather than ” phenomenon And deepen students’ comprehensive understanding and mastery of the potential intelligent value of mathematics knowledge, which is very useful for deepening mathematics learning and enhancing the ability of solving problems.For example, in the basic inequalities a ~ 2 + b ~ 2≥2ab (a, b∈R) (*) Teaching,