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孔子曾说过:“学而不思则罔。”“罔”即迷惑而无所得,那么把这个意思引申开来,我们就可以发现学生的学习是需要反思的。数学教育家弗赖登塔尔指出:“反思是数学活动的核心和活力。”反思是一个知识总结、方法提炼的过程,使数学方法得到及时的小结;是一个规律总结、逐渐提高的过程,它可以使学生拨开迷雾看清知识的庐山真面目;是一个独立思考、交流合作的过程,让学生在反思中学会了倾听,学会了分享。可以让学生透过知识的表面体会到知识的本质,通过这一过程可以让学生更好地体验到学习的乐趣。
Confucius once said: “Learning without thinking is indiscriminate. ” “Indifferent ” that is confused without income, then the meaning of this extension, we can find that students need to reflect on the study. Mathematical educator Freudenthal pointed out: “Reflection is the core and vitality of mathematical activities.” "Reflection is a process of knowledge summarization and method refinement that gives a timely summary of mathematical methods. It is a summary of laws that are gradually being improved It can make students clear the fog and see the true colors of knowledge. It is an independent process of thinking, exchange and cooperation so that students can learn to listen and learn to share in reflection. Students can experience the essence of knowledge through the surface of knowledge. Through this process, students can experience the fun of learning better.