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在近年的数学教学中,涌现出许多精彩的开放性问题。开放性问题的条件通常是不完备的,或结论是不确定的,对问题解答的限制较少,只有某些原则性的要求;开放性问题的解决策略具有非常规性、发散性和创造性;问题的研究具有探索性和发展性。解答开放性问题时,在寻找条件或探求结论的过程中思考者的思考方向是发散的,解题策略也是多样的,呈现不拘一格的特点。由于开放性问题本身所具有的特点使得它在中学数学教学中具有极大的教育价值,本文从几个实例出发给予探讨。一、开放性问题,往往给人耳目一新的感觉,
In recent years, mathematics teaching, there have been many wonderful open issues. The conditions of an open question are usually incomplete or the conclusion is indefinite. There are few restrictions on the solution of a question and only some of the principle requirements. The solution to the open question is unconventional, divergent and creative. The research of the problem is exploratory and developmental. When answering the question of openness, the thinking direction of the thinker is divergent in the process of finding the conditions or finding the conclusion, and the problem solving strategies are also varied and presented in an eclectic way. Owing to the characteristics of the open question itself, it has great educational value in high school mathematics teaching. This article starts with a few examples. First, the issue of openness, often giving a fresh look,