【摘 要】
：
数学教学中适当渗透一 些数学思想和方法对发展学生数学能力和数学意识是非常有益的。初中阶段是青少年数学思想启蒙教育的关键时期,基本的数学思想和方法有利于开发他们的智
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数学教学中适当渗透一 些数学思想和方法对发展学生数学能力和数学意识是非常有益的。初中阶段是青少年数学思想启蒙教育的关键时期,基本的数学思想和方法有利于开发他们的智力,拓宽他们的视野,激发他们的兴趣,同时可以使他们掌握一些解题的方法和技巧。现以G·波利亚的构造思想渗入为例,谈谈“几何模型”构造思想在数学教学中的应用。 例1、a、b、c、d都是正数,证明:存在这样的三角
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