分析小学生数学错误的合理性——以“万以内加法竖式”中的错误分析为例

摘要

The errors of students in mathematics is a sign of confusion,a kind of resource of teaching,the relativity of correct answers.Take example of errors in learning ＂long algorithm of addition in 10000＂,there are two common errors in students answers,the main reason is that there is a distance between learning action and long algorithm,many algorithms could be used to decrease the distance,and it would be better to students＇ learning.%小学生的数学错误具有指向性、可利用性和相对性。以“万以内加法竖式”为例，小学生在做题过程中经常犯的错误有两类，经分析后确定这些错误是因为实物操作与竖式操作之间存在差距造成的，探究后发现一些算法可以被利用起来缩小这种差距，从而为小学生的算法学习提供思维的阶梯。