“乘法的初步认识”是人教版二年级上册第三单元的教学内容。为了让学生认识相同加数、理解乘法的意义并体会乘法的简便,教学时教师通常都要设计学生摆小棒的活动,摆出几个相同的图形,再列式计算一共用了多少根小棒,以此作为学生建立乘法概念的认知基础。实践证明,只有有效的操作活动才能够促进加法在乘法学习中的正迁移,反之,无效的操 “The initial understanding of multiplication ” is the teaching content of the third unit of the second edition of the PEP. In order to let students know the same sums, to understand the meaning of multiplication and to understand the simple multiplication, teachers usually design students to put small activities, put out a few of the same graphics, and how many small Stick, as a cognitive foundation for students to establish the concept of multiplication. Practice has proved that only effective operational activities can promote the positive transfer of addition in multiplicative learning. On the contrary, invalid manipulations