《中学数学问题集》一书即将出版,书名似乎平淡无奇。现时学生的书包里,教师的案头上,多的就是“习题集”、“竞赛题集”、“复习题集”、“历年考题集”等等。这本书还来凑什么热闹? 这恐怕要从“习题”、“考题”和“问题”的区别与联系说起。习题,英文是Exercise,其目的在于巩固和练习,内容是常规的,学生易于模仿的。考题,英文是Test Question,专指在限定时间内笔试且必须独立完成的题目。了解性的考试题和习题差不多,而选拔性的考题中有一些很难,具有挑战性。至于数学竞赛试题,则更难更高,偏离教本。由于考题要限时完成且便于评分,往往具有一定的模式。我们这里要提倡的是“问题”,英文叫做Problem。数学问题应如何定义,尚无统一的看法。大体说来,有以下特点。一是非常规,即不是教材内容的简单模仿,不是靠熟练操作就能完成的,需要较多的创造性。二是重视情景 The book “Middle School Mathematics Problem Set” is about to be published. The title seems to be bland. In the current student’s schoolbags, many of the teachers’ desks are “Set of Problem Sets,” “Competitive Question Sets,” “Review Question Sets,” “Essential Question Sets,” and so on. This book is still coming up with some excitement? I am afraid that we should start with the differences and connections between “exercise questions,” “examination questions,” and “problems.” Exercises, English is Exercise, its purpose is to consolidate and practice, content is regular, students can easily imitate. Exam questions, English is a Test Question, which specifically refers to questions written in a limited time and must be completed independently. Understanding sexual test questions and exercises are almost the same, and some of the selective questions are difficult and challenging. As for the math contest questions, it is even harder and higher to deviate from the textbook. As the questions are to be completed in a limited time and easy to score, there are often certain patterns. What we want to promote here is “problems”. English is called Problem. There is no unified view on how mathematical problems should be defined. In general, there are the following features. First, it is unconventional, that is, it is not a simple imitation of the content of the teaching materials. It cannot be accomplished by skilled operations, and it requires more creativity. The second is the importance of the situation