数学的活力源于课堂交流,没有交流的课堂,如同一潭死水。随着新课程改革的不断深入,课堂交流呈现出多元化的趋势:重视了师与生之间、生与生之间、人与文本之间的交流。但由于受到教师的观念、教学水平、教育功利性及教育 The vitality of mathematics stems from the classroom exchange, there is no exchange of classrooms, like a pool of stagnant water. With the continuous deepening of the new curriculum reform, the classroom exchange has shown a diversified trend: emphasis is placed on the communication between teachers and students, between students and between students, and between people and texts. However, due to the teacher’s concept, teaching level, educational utilitarian and education