摘要：数学问题是以数学为内容，或者虽不以数学为内容，但必须运用数学概念、理论或方法才能解决的问题。它来源于人类的生产、生活实践，来源于人们了解自然、认识自然的科技活动。问题解决中的“问题”主要是指那些非常规的，或者条件不充分、结论不确定的开放性、探究性问题，其设计要遵循可行性、渐进性、应用性等原则。问题解决教学要通过创设情境来激发学生的求知欲望，使学生亲身体验和感受分析问题、解决问题的全过程，从而培养使用数学的意识、探索精神和实际操作能力。教学中，要注重发挥学生的主体作用和教师主导作用，二者相辅相成，不可偏废。

关键词：数学问题；设计原则；数学问题解决；教学

Abstract:A mathematical problem is the problem concerned with mathematics， or the problem that can be solved using mathematical concepts， theories or methods. It originates with human's work， life， and their scientific and technological activities involved in understanding nature. The problems in problem-solving activities refer to the unusual and open-ended problems with inadequate prerequisites and indefinite answers. The problem-solving teaching can arouse students' thirst for knowledge by creating proper circumstances， and enable them to experience analyzing and solving problems personally， so it can cultivate students' mathematics consciousness， exploratory spirit and hands-on ability . Furthermore， attention must be paid to highly developing students' leading role and teachers' guiding role during teaching.