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著名的数学家华罗庚指出:“新的数学方法和概念,常常比解决数学问题本身更重要.”而新的数学思想方法的形成,源于对基础知识的掌握,源于数学意识和数学应用习惯的培养.下面通过例子浅谈如何培养学生的数学意识和数学应用的习惯.一、构建模型的策略所谓的模型策略,是指数学解题时,把所要解决的题目与已经学过的数学模型进行比较,并与已有的知识经验发生联系,从而找到解决问题的新方法.例1(2014年高考数学陕西卷理科21题)设函数
The famous mathematician Hua Luogen pointed out: “The new mathematical methods and concepts are often more important than solving the mathematical problems themselves.” And the formation of new mathematical thinking methods stems from the mastery of basic knowledge, from mathematical consciousness and mathematics. The cultivation of application habits. Here is an example of how to develop students’ mathematics awareness and the habit of applying mathematics. First, the strategy of constructing the model The so-called model strategy is the problem of solving the problem of exponential learning, and the problems to be solved and those already learned. Mathematical models are compared and they are linked to existing knowledge and experience to find new ways to solve the problem. Example 1 (College of Mathematics for Mathematics of the College Entrance Examination of Shaanxi Province, 2014)