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Corinne A. Bower; Kelly S. Mix; Gregory R. Hancock; Lei Yuan; Linda B. Smith – Journal of Cognition and Development, 2024
Children's early accuracy on place value (PV) tasks longitudinally predicts their later multidigit calculation skills. However, another window into children's emerging base-ten concepts is the pattern of errors -- "smart errors" -- they exhibit on these measures. Past research has speculated that these smart errors -- similar to invented…
Descriptors: Number Concepts, Accuracy, Error Patterns, Kindergarten
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Katherine T. Rhodes; Julie A. Washington; Sibylla Leon Guerrero – Educational Assessment, 2024
Little is known about mismatches between the language of mathematics testing instruments and the rich linguistic repertoires that African American children develop at home and in the community. The current study aims to provide a proof of concept and novel explanatory item response design that uses error analysis to investigate the relationship…
Descriptors: Black Dialects, African American Students, Language Usage, Mathematics Tests
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Rotem, Avital; Henik, Avishai – Journal of Learning Disabilities, 2015
The current study examined the development of two effects that have been found in single-digit multiplication errors: relatedness and distance. Typically achieving (TA) second, fourth, and sixth graders and adults, and sixth and eighth graders with a mathematics learning disability (MLD) performed a verification task. Relatedness was defined by a…
Descriptors: Foreign Countries, Mathematics Education, Learning Disabilities, Multiplication
de Villiers, Celéste; Hopkins, Sarah – Mathematics Education Research Group of Australasia, 2013
Counting strategies initially used by young children to perform simple addition are often replaced by more efficient counting strategies, decomposition strategies and rule-based strategies until most answers are encoded in memory and can be directly retrieved. Practice is thought to be the key to developing fluent retrieval of addition facts. This…
Descriptors: Addition, Mathematics Instruction, Mathematics Skills, Computation