没有数学思考,就没有真正的数学学习。综观当前课堂教学,“乒乓式”对话在一些课堂依然存在,学生根本没有思考的时间和空间,“热闹”的背后,往往掩盖着学生肤浅的思维和苍白的思考,问题非但没有启迪学生的数学思考,反而造成学生思维的惰性。提高课堂教学的有效性应把重点放在如何“引发学生进行有效的数学思考”上。只有有效的数学思考才能激发学生的学习潜能,促进学生智慧的发展。 Without mathematical thinking, there is no real math learning. Looking at the current classroom teaching, the “ping-pong” dialogues still exist in some classes and the students have no time or space for thinking at all. Behind “lively” students often hide their superficial thinking and pale thinking. Enlightenment students of mathematical thinking, but cause the inertia of students thinking. To improve the effectiveness of classroom teaching should focus on how to “lead students to carry out effective mathematical thinking”. Only effective mathematical thinking can stimulate the learning potential of students and promote the development of students’ wisdom.