TY - JOUR

T1 - Working memory and children's mental addition.

AU - Adams, J. W.

AU - Hitch, G. J.

PY - 1997

Y1 - 1997

N2 - Two experiments investigated the extent to which children's mental arithmetic is constrained by working memory rather than their arithmetical competence. A span procedure was used to measure the limit on English- and German-speaking children's ability to add together pairs of multidigit numbers. The children's ages ranged from 7 years 7 months to 11 years 5 months. Spans for mental addition were higher when the numbers to be added were visible throughout calculation than when they were not, consistent with a working memory constraint. Variation in addition span with children's age and with difficulty of the arithmetical operations approximated to a linear function of the speed of adding integers. A similar speed/span relationship has previously been observed for counting span, an artificial task designed to load working memory by combining separate processing and storage subtasks. We conclude that the natural task of mental addition, which combines processing and storage as intrinsic components, reflects working memory in a similar way. Results were remarkably similar both between cultures and across age groups, consistent with the notion of working memory as a general-purpose resource with dynamics that are indifferent to the detailed nature of operations.

AB - Two experiments investigated the extent to which children's mental arithmetic is constrained by working memory rather than their arithmetical competence. A span procedure was used to measure the limit on English- and German-speaking children's ability to add together pairs of multidigit numbers. The children's ages ranged from 7 years 7 months to 11 years 5 months. Spans for mental addition were higher when the numbers to be added were visible throughout calculation than when they were not, consistent with a working memory constraint. Variation in addition span with children's age and with difficulty of the arithmetical operations approximated to a linear function of the speed of adding integers. A similar speed/span relationship has previously been observed for counting span, an artificial task designed to load working memory by combining separate processing and storage subtasks. We conclude that the natural task of mental addition, which combines processing and storage as intrinsic components, reflects working memory in a similar way. Results were remarkably similar both between cultures and across age groups, consistent with the notion of working memory as a general-purpose resource with dynamics that are indifferent to the detailed nature of operations.

U2 - 10.1006/jecp.1997.2397

DO - 10.1006/jecp.1997.2397

M3 - Journal article

VL - 67

SP - 21

EP - 38

JO - Journal of Experimental Child Psychology

JF - Journal of Experimental Child Psychology

SN - 0022-0965

IS - 1

ER -