可操作性是数学思维方法的基本特点,数的形成体现在对思维载体(表征物)按照一定的程序和方法进行操作的过程之中。如果教学思维过程不具可操作性或操作不到位、操作有错误,思维就要落空,就达不到化解难点的目的。本研究从数形成的难点出发,运用思维材料、思维方法、思维工具的可操作性,让孩子在动手操作中理解、验证和探究问题。 The maneuverability is the basic characteristic of the mathematical thinking method. The formation of the number is embodied in the process of operating the thinking carrier (the characterization object) according to certain procedures and methods. If the teaching thinking process is not operable or the operation is not in place, the operation is wrong, thinking is going to fail, it will not reach the purpose of resolving difficulties. Based on the difficulties in the formation of numbers, this study uses the material of thinking, the thinking method and the operability of thinking tools, so that children can understand, verify and explore problems in hands-on operation.