Comparing Students with Mathematics Learning Disabilities and Students with Low Mathematics Achievement in Solving Mathematics Word Problems


Book Description

This study identified factors related to solving mathematical word problems and then examined the differences in characteristics between students with low achievement in mathematics who were likely to have a learning disability and students with low achievement in mathematics who were unlikely to have a learning disability. Factoral analysis identified two significant factors: abstract thinking and long term retrieval from memory. Results indicated qualitative differences between sixth grade students with achievement in mathematics at or below the 25th percentile with indications of learning disabilities (MLD) and students with achievement in mathematics at or below the 25th percentile without an indication of a learning disability (Low Math/NLD). The Learning Disabilities Diagnostic Inventory, which measures intrinsic processing disorders indicative of learning disabilities, was used to differentiate between students with MLD (n = 13) and students with Low Math/NLD (n = 16). The Woodcock-Johnson III Tests of Achievement, Clinical Evaluation of Language Fundamentals-Fourth Edition, and the Informal Mathematics Assessment (IFA) were used to compare the two groups. In contrast to students with MLD, students with Low Math/NLD had a higher mathematical performance and had more difficulties with math fluency. When solving mathematics word problems on the IFA, a test composed of word problems, student interview, and error analysis, students with Low Math/NLD had more correct answers, more computational errors, and fewer translation errors than students with MLD did. Students with MLD had conceptual difficulties in the areas of analyzing, reasoning, and abstract thinking.




A Comparison Study


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Differences in Conceptions of Variables Among Students with Typical Achievement, Low Achievement and Mathematics Learning Disabilities


Book Description

This study investigated the differences in conceptions of variable among the groups of students identified as having a mathematics learning disability (MLD), other low mathematics achievement (LMA) students and typical mathematics achievement (TMA) students. This was done by analyzing the responses of these students on items involving the comparison of expressions involving generalized quantities. The theoretical framework for this study was based upon the learning trajectory (LT) of the levels of sophistication of students' conceptions of variable. Data analysis included descriptive and inferential statistics. Results from the data analysis revealed little evidence of differences between MLD and LMA students. Differences between all students with mathematics difficulties (MD), including MLD and LMA students, and their TMA peers were primarily limited to items with higher procedural or operational complexity. The lack of significant differences between the MD and TMA students on other items suggests that most students' conceptions of variables are at a low level of sophistication. Furthermore, that students characterized by low-achievement and typical-achievement labels can have similarly low-levels of sophistication of conceptions of variables suggests that not only do the current measures of achievement provide an incomplete picture of students' understandings of algebra, but they also disproportionately disadvantage those labeled as low-achieving.




Why is Math So Hard for Some Children?


Book Description

This landmark resource gives educational decision-makers and researchers theoretical and practical insight into mathematical learning difficulties and disabilities, combining diverse perspectives from fields such as special education, developmental