荷兰数学家弗赖登塔尔说:“学习数学唯一正确的方法就是让学生进行‘再创造’。”这一原理强调了数学的根源在于普通的常识。在一定意义上,数学是人们常识的系统化,因而每个学生都可能在一定的指导下,去重新“创造”有关的数学知识和数学思维方法。一、让直觉思维与逻辑思维互动直觉思维是指对问题没有经过深思熟虑,就直接迅速地得到答案、作出猜测或判断的思维活动;或者是在对问题百思不得其解的时候,意外受到启发,突然“顿悟”的思维。直觉思维的外显形 The Dutch mathematician Freudenthal said: “The only correct way to learn mathematics is to get students to recreate.” This principle emphasizes that mathematics is rooted in common sense. In a certain sense, mathematics is systematized by people’s common sense, so each student may, under certain guidance, re-create the relevant mathematical knowledge and mathematical thinking. First, let the intuitive thinking and logical thinking interactive Intuitive thinking refers to the problem without careful consideration, to get the answer directly and quickly to make speculation or judgment of thinking activities; or when the problem puzzled, the accident was inspired Suddenly “Epiphany ” thinking. The intuitive appearance of intuition