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美国数学理事会(NCTM)公布的一项指导数学教育的文件《行动议事日程(An Agenda for action)》指出:“数学课程应围绕问题解决来组织,数学教师应创造一种使问题解决得以蓬勃发展的课堂环境。”而这种课堂环境的创造则主要体现在对开放题目或探索性题目的恰当引入和巧妙处理上。本文仅以一题为例试说明在教学中如何引导学生解决开放问题,从而更好地锻炼学生的创造思维,培养学生的探索精神和思维品质。
An “An Agenda for action” document that guides mathematics education published by the American Mathematical Council (NCTM) states: "Mathematics courses should be organized around problem solving. Math teachers should create a solution to the problem. Development of the classroom environment.” The creation of this classroom environment is mainly reflected in the proper introduction and clever handling of open or exploratory topics. This article only takes an example as an example to illustrate how to guide students to solve open problems in teaching, so as to better train students’ creative thinking, and cultivate their exploration spirit and thinking quality.