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一位魔术师突然从帽子里抓出一只兔子。观众称奇,掌声雷动。他成功的奥秘就在于掩饰其过程而突然揭示其成果。观众当时由惊奇而产生喜悦;事后只记得帽子里能出兔子,却不知怎样才能从帽子里抓出兔子。 由此我联想到数学教学. 多年来,有人曾一再强调“精讲多练”,究其本意,无非主张简化或压缩探索知识的过程,及早地引出成果,然后反复地巩固这个成果。
A magician suddenly grabbed a rabbit from his hat. The audience was amazed and applause struck. The secret of his success lies in disguising his process and suddenly revealing his results. The audience was delighted by the surprises of the time; afterwards only the rabbits in the hat were remembered, but they did not know how to get the rabbit out of the hat. So I think of mathematics teaching. Over the years, some people have repeatedly stressed that “explanation and more practice”, study its original intention, it is nothing more than the idea of simplifying or reducing the process of exploring knowledge, drawing results early, and then repeatedly consolidate the results.