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The purpose of this study was to examine growth in cognitive processes and their effect on general mathematics achievement among children who vary in math ability. Four subgroups were identified: children with mathematical disability (MD, n=12), low achieving children (LA, n=21), average achieving children (AA, n=72) and high achieving children (HA, n=22). A battery of tests was administered that assessed fluid intelligence, problem solving, arithmetic calculation, reading, cognitive processing, and inattention in Grade 1, Grade 2 and Grade 3. No significant differences were found between low achievers and children with MD. Regression modeling of the total sample indicated that math performance in Grade 3 was uniquely predicted by Grade 1 measures of phonological loop, naming speed and fluid intelligence.