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在中学数学教学中,培养学生的探讨能力我认为主要是指培养观察和归纳能力,类比和联想能力、演绎和推广能力。在这里,我想谈自己在教学工作中的一些做法。观察和归纳善于观察和归纳是一个学生探究问题所必须具备的能力。一个课题,往往可以通过观察进而归纳并作出猜测,最后寻求对猜测的论证或者举出反例否定猜测。无论是证明了或者是否定了猜测都能使学生从中获得启发,激发学生的学习兴趣,调动积极思维,发扬独立思考和钻研的精神,从而不断提高学生的探讨能力。
In the teaching of middle school mathematics, the cultivation of students’ research skills I think mainly refers to the cultivation of observation and induction ability, analogy and association ability, interpretation and promotion ability. Here, I want to talk about some of my own teaching practices. Observing and summarizing observation and summarizing is an ability that a student must possess to explore problems. A topic can often be summed up by observation and made guesses. Finally, the arguments for speculation or counter-examples can be guessed. Whether it is proved or rejected, students can be inspired to stimulate students’ interest in learning, mobilize positive thinking, carry forward the spirit of independent thinking and study, so as to continuously improve students’ exploration skills.