教学要求启发式,早已为人们所公认。但究竟什么是启发式?怎样才算是启发式?却又很少有人论及。至于怎样去实行启发式教学,更是众说纷纭,莫衷一是,各人凭自己的体会,提出自己的见解,介绍各人的经验。本人虽然从教卅多年,对启发式往往隐隐约约,感到有点玄妙莫测。近年来,突然对此问题感到兴趣,写了两篇文章—《数学猜想与归纳》、《数学猜想与类比》,才逐步认识到,启发式似应同科学思维方法发生联系。因为这很容易用反证法加以证明。假设相反,如果启发式与科学思维方法无关,即启发式很少能帮助学生掌拢科学的思 Teaching requirements heuristic, has long been recognized by people. But what is heuristic and what is heuristic? As for how to implement heuristic teaching, there are many different opinions and different opinions. Based on our own experience, each person presents his own opinion and introduces everyone’s experience. Although I teach from many years, the heuristic is often vague, I feel a bit mysterious and unpredictable. In recent years, he suddenly became very interested in this issue. He wrote two articles - “Mathematical Conjecture and Induction”, “Mathematical Conjecture and Analogy” before gradually realizing that heuristics should be linked to the scientific thinking method. Because this is easy to prove by proof. On the contrary, if the heuristic has nothing to do with the scientific method of thinking, the heuristic rarely helps students to grasp the science