6533b7d6fe1ef96bd1265d9e

RESEARCH PRODUCT

From algorithmic computing to direct retrieval: Evidence from number and alphabetic arithmetic in children and adults

Pierre BarrouilletMichel Fayol

subject

AdultMaleSymbolismAdolescentSpan (category theory)Concept FormationExperimental and Cognitive PsychologyOperandChild DevelopmentArts and Humanities (miscellaneous)Simple (abstract algebra)Cognitive developmentHumansArithmeticChildProblem SolvingSeries (mathematics)MemoriaSubtractionRetention PsychologyCognitionNeuropsychology and Physiological PsychologyMental RecallFemalePsychologyAlgorithmsMathematics

description

A number of theories of mental arithmetic suggest that the ability to solve simple addition and subtraction problems develops from an algorithmic strategy toward a strategy based on the direct retrieval of the result from memory. In the experiment presented here, 2nd and 12th graders were asked to solve two tasks of number and alphabet arithmetic. The subjects transformed series of 1 to 4 numbers or letters (item span) by adding or subtracting an operand varying from 1 to 4 (operation span). Although both the item and operation span were associated with major and identical effects in the case of both numbers and letters at 2nd grade, such effects were clearly observable only in the case of letters for the adult subjects. This suggests the use of an algorithmic strategy for both types of material in the case of the children and for the letters only in the case of the adults, who retrieved numerical results directly from memory.

https://doi.org/10.3758/bf03201146