检验,是解证数学问题的构成要素之一,是解题教学不容忽视的重要环节,是帮助学生知错、改错、防错的有效方法,是甄别真伪的重要策略。著名数学家G·波利亚在他的“四步解题法”的“实现计划”和“回顾”两步中都强调要“检验每一步骤”,并指出:“如果学生在实行 Testing is one of the constituent elements of solving mathematics problems. It is an important part of problem solving teaching that cannot be neglected. It is an effective method to help students know, correct, and prevent mistakes. It is an important strategy for screening authenticity. The famous mathematician G. Polya in his “implementation plan” and “review” of the “four-step problem-solving method” emphasized the need to “test every step” and pointed out: "If students are practicing