在活跃的数学课堂里,孩子们能大胆地发表自己的见解,展现自我,但在活跃、热闹的课堂里,认真倾听老师或同学发言的少之又少,学生的思维随意、浮躁。因此,在活跃的课堂中学生光有表达是不够的,最重要的还是倾听和冷静思考。学生在课堂上认真倾听——倾听老师的讲课、倾听同学的发言,才能积极有效地参与教 In an active math class, children can express themselves and show themselves boldly. However, in an active and lively classroom, there are very few teachers and students who listen attentively to their speeches. Students’ thinking is arbitrary and impetuous. Therefore, it is not enough for students to express themselves in an active classroom. The most important thing is to listen and calmly think. Students listen carefully in class - listen to the teacher’s lectures, listening to their classmates in order to actively and effectively participate in teaching