To determine whether children's knowledge of arithmetic facts becomes increasingly "automatic" with age, 7-year-olds, 11-year-olds, and adults were given a number-matching task for which mental arithmetic should have been irrelevant. Specifically, students were required to verify the presence of a probe number in a previously presented pair (e.g.,…

The associations among cognitive automatization, abstract problem solving, and educational performance were studied using 127 fourth to ninth grade students. A number of measures of fast, automatic, and fluent performance (FAF measures) were used: writing the alphabet; reading from a word list; and mentally performing arithmetic operations. The…