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数学是一门严密的学科,精、准是它的两个显著特点。但是,一些典型的具有普遍性的错误,不仅常在学生的作业中出现,就是在老师的教学、有关数学书刊上也时有发生。对出现的错误进行认真分析和思考,指出错误之所在、产生的原因、纠正的方法和预防的措施,未尝不能使我们增长知识,提高分析能力和鉴赏能力。为此,本刊特辟“数林改错”专栏,欢迎大家积极投稿。
Mathematics is a rigorous discipline. Refinement and accuracy are its two prominent features. However, some typical universal errors not only appear frequently in students’ work, but also occur in teachers’ teaching and related math books and periodicals. Serious analysis and reflection on the errors that have occurred, pointing out where the errors are, the reasons for them, the methods of correcting them, and the measures for prevention, have not helped us to increase our knowledge and improve our analytical and appreciative capabilities. To this end, the magazine has created a special column entitled “Several forests correcting mistakes,” and everyone is welcome to contribute actively.