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一、以一定的知识结构为依托,从知识网络的交汇点寻找编制问题的切入点。能力是以知识为基础的,但掌握知识并不一定具备能力,以一定的知识为背景,编制出开放题,面对实际问题情景,学生可以分析问题情景,根据自己的理解构造具体的数学问题,然后尝试求解形成数学问题并完成解答。二、以某一数学定理或公式为依据,编制开放题。数学中的定理或公式是数学学习的重要依据,中学生的学习特别是研究性学习常常是已有的定理并不需要学生掌握,或者是学生暂时还不知道,因此我们可以设计适当的问题情景,让学生进行探究,通过自己的努力去发现一般规律,体验研究的乐趣。
First, with a certain knowledge structure as the basis, from the intersection of knowledge networks to find the entry point for compilation. Ability is based on knowledge, but mastery of knowledge does not necessarily have the ability to a certain knowledge as the background, the preparation of open questions, the face of the actual problem scenarios, students can analyze the problem scenarios, according to their own understanding of the construction of specific mathematical problems , And then try to solve the mathematical problem and complete the answer. Second, to a mathematical theorem or formula based on the preparation of open questions. The theorem or formula in mathematics is the important basis of mathematics study. The study of middle school students, especially research study, is often the existing theorem which does not need students to master or the students do not know yet. Therefore, we can design appropriate problem scenarios, Allow students to explore, through their own efforts to find the general law, to experience the fun of the study.