Abstract
The major purposes of this research are to study the Mathematical Skills and the Math Achievement made by nonverbal learning disability students (NLD) and learning disability students (LD). On the scores of "Elementary School Achievement Test Serials of Mathematics" (ATSM). The findings of this research are as follows: First, the difference of "Mathematical Skills" between NLD students and LD students are (1) NLD students and LD students are below one standard on "ATSM". There is no difference between NLD students and LD students on the scores of "ATSM" and "the checklist of Mathematical Skills". (2) The scores are significant on the "ATSM" among of normal students, NLD students and LD students. The results show that normal students have better mathematical skills than NLD students and LD students; and there is no difference between NLD students and LD students. Second, the relationships between "the checklist of Mathematical Skills" and "ATSM" by NLD students and LD students are discussed. 1. There is no significant correlation between "ATSM" and "the checklist of Mathematical Skills" by LD students. 2. However, that is, NLD students with more skills have more plasticity to gain higher scores than LD students. More results and detailed analyses have given in the paper. Educational implications and further research perspective were proposed according to the results.