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Xu, Chang; LeFevre, Jo-Anne; Skwarchuk, Sheri-Lynn; Di Lonardo Burr, Sabrina; Lafay, Anne; Wylie, Judith; Osana, Helena P.; Douglas, Heather; Maloney, Erin A.; Simms, Victoria – Developmental Psychology, 2021
In the present research, we provide empirical evidence for the process of symbolic integration of number associations, focusing on the development of simple addition (e.g., 5 + 3 = 8), subtraction (e.g., 5 - 3 = 2), and multiplication (e.g., 5 × 3 = 15). Canadian children were assessed twice, in Grade 2 and Grade 3 (N = 244; 55% girls). All…
Descriptors: Foreign Countries, Arithmetic, Mathematics Skills, Age Differences
Developmental Dissociation in the Neural Responses to Simple Multiplication and Subtraction Problems
Prado, Jérôme; Mutreja, Rachna; Booth, James R. – Developmental Science, 2014
Mastering single-digit arithmetic during school years is commonly thought to depend upon an increasing reliance on verbally memorized facts. An alternative model, however, posits that fluency in single-digit arithmetic might also be achieved via the increasing use of efficient calculation procedures. To test between these hypotheses, we used a…
Descriptors: Hypothesis Testing, Numeracy, Arithmetic, Computation
De Brauwer, Jolien; Fias, Wim – Developmental Psychology, 2009
The authors investigated the performance on simple multiplication and division problems of 8-year-old children longitudinally to determine the developmental trajectories of both operations. Twice a year, during 2 consecutive school years, children performed a multiplication and division verification task and a number-matching task. All effects…
Descriptors: Multiplication, Young Children, Longitudinal Studies, Arithmetic
Camos, Valerie – European Journal of Psychology of Education, 2003
The aim of this study was twofold. First, it evaluated the developmental changes on frequency of use, efficiency, and choice of counting strategies from childhood to adulthood. Second, it determined the adaptation of the counting strategies to the structural features of the task. Participants in seven age groups ranging from 5-year-old to…
Descriptors: Computation, Multiplication, Problem Solving, Arithmetic

Thompson, Ian – European Early Childhood Education Research Journal, 1995
Interviewed 59 2nd- and 44 3rd-year elementary school students concerning their solutions to arithmetic problems commensurate with their age and ability. The results indicate that as children progress through school, they continue to use counting as an important part of their problem-solving repertoire, combining counting skills in idiosyncratic…
Descriptors: Addition, Age Differences, Arithmetic, Computation

Hamann, Mary Sue; Ashcraft, Mark H. – Journal of Experimental Child Psychology, 1985
First, fourth, seventh, and tenth graders were timed when solving simple and complex addition problems, then were presented similar problems in untimed interviews. Manipulation of confusion between addition and multiplication, where multiplication answers were given to addition problems (3 + 4 = 12) indicated an interrelatedness of these…
Descriptors: Age Differences, Arithmetic, Cognitive Processes, Elementary School Students