波利亚指出 :通过研究解题方法 ,我们可以看到数学的第二个侧面 ,也就是看到“处于发现过程中的数学” .因此 ,波利亚把“解题”作为培养学生数学才能和教会他们思考的一种手段和途径 ,并且强调解题训练的目的是引导学生开展智力活动 ,提高数学才能 ,要达到这一目的 ,就应高度 Polya pointed out that by studying the problem-solving method, we can see the second aspect of mathematics, that is, seeing “the mathematics in the process of discovery.” Therefore, Polya regards “solving problems” as a way to develop students’ mathematical ability. And taught them a means and approach to thinking, and stressed that the purpose of problem solving training is to guide students to carry out intellectual activities and improve their mathematical abilities. To achieve this goal, it should be highly