Abstract

Abstract There is a difference between recognising what kind of sum is needed to solve a mathematical problem on the one hand and doing the sum correctly on the other. There are good grounds for pursuing this distinction. One is that the easy availability of calculators makes the second element a great deal easier for children who know how to use them. Another is that current work on children's cognitive development shows that there are many problems which children have the skill to solve but nevertheless fail to solve because they do not always realise when the skill is needed. I report a pilot study which demonstrates the same sort of thing with subtraction and which deals with the conditions which might encourage children to use the mathematical skills that they do have more effectively.

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