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Lo, Steson; Andrews, Sally – Journal of Numerical Cognition, 2022
In Asia, some children are taught a calculation technique known as the 'mental abacus'. Previous research indicated that mental abacus experts can perform extraordinary feats of mental arithmetic, but it disagrees as to whether the technique improves working memory. The present study extended and clarified these findings by contrasting performance…
Descriptors: Mental Computation, Expertise, Short Term Memory, Schemata (Cognition)
Marcruz, Ong Yew Lee; Carrie, Ho Ka Lee; Manabu, Kawata; Mayumi, Takahashi; Kumpei, Mizuno – International Journal of Early Years Education, 2022
It has become increasingly clear that the early use of decomposition for addition is associated with later mathematical achievement. This study examined how younger children execute a base-10 decomposition strategy to solve complex arithmetic (e.g. two-digit addition). 24 addition problems in two modalities (WA: Written Arithmetic; OA: Oral…
Descriptors: Cross Cultural Studies, Arithmetic, Foreign Countries, Correlation

Kamii, Constance; Warrington, Mary Ann – Hiroshima Journal of Mathematics Education, 1997
Describes a method for teaching multiplication of fractions based on Piaget's constructivism. Instead of teaching the algorithm of multiplying the numerators and denominators, students are presented with many problems and ask to invent their own ways of solving them. (DDR)
Descriptors: Arithmetic, Cognitive Processes, Concept Formation, Constructivism (Learning)

Mukhopadhyay, Swapna – Hiroshima Journal of Mathematics Education, 1997
Examines the performance of children in different grades as they attempt to solve simple equations involving addition and subtraction of integer numbers. The extended task involves creating a story that matches the equations. (DDR)
Descriptors: Arithmetic, Cognitive Processes, Concept Formation, Constructivism (Learning)