均值不等式问题特征对其解法迁移的影响

Average Value Inequality Question Characteristic to Its Solution Analogical Transfer Influence

在不同学生类型情况下,样例和测题问题特征相似性对其解法类比迁移的影响的实验结果说明:对于熟悉者来说,样例与测题的代数式类型表面特征相似性对解题方法的通达、提取和运用都没有影响;常数类型表面特征对解题方法的通达有影响,且对提取和运用过程也有影响;常数类型特征对不同类型的学生影响也不同,对于学优生,问题表面特征对问题解法迁移没有影响,对于学中生和学差生都有显著影响.

This experiment used 2（the algebraic expression types： Integral expression or fraction） × 2（the constant types： 1 or not 1） × 3（the student types： good students,normal students or LD students） three factors mix design to study the effect of students in tenth-grade、samples and the similarity of problems on the analogous transfer of solution. The result of experiment showed that there existed the effectiveness of sample and the similarity of problem on the transfer of solution for familiar students. When some surface featutes had greatly been changed,which would have not impact on the solution and transfer,but others were contrary. The effectiveness of problem features were different from students. The change of the appearance featutes hadn ＇t impact on the solution transfer of good students,but the results of the normal and LD students are siginificant.