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Céline Poletti; Marie Krenger; Marie Létang; Brune Hennequin; Catherine Thevenot – Child Development, 2025
Our study on 328 five- to six-year-old kindergarteners (mainly White European living in France, 152 girls) shows that children who do not count on their fingers and undergo finger counting training exhibit drastic improvement in their addition skills from pre-test to post-test (i.e., accuracy from 37.3% to 77.1%) compared to a passive control…
Descriptors: Kindergarten, Young Children, Foreign Countries, Mathematics Skills
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Borriello, Giulia A.; Grenell, Amanda; Vest, Nicholas A.; Moore, Kyler; Fyfe, Emily R. – Child Development, 2023
This study examined repeating and growing pattern knowledge and their associations with procedural and conceptual arithmetic knowledge in a sample of U.S. children (N = 185; M[subscript age] = 79.5 months; 55% female; 88% White) and adults (N = 93; M[subscript age] = 19.5 years; 62% female; 66% White) from 2019 to 2020. Three key findings emerged:…
Descriptors: Mathematics Instruction, Pattern Recognition, Prediction, Correlation
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Schneider, Michael; Merz, Simon; Stricker, Johannes; De Smedt, Bert; Torbeyns, Joke; Verschaffel, Lieven; Luwel, Koen – Child Development, 2018
The number line estimation task is widely used to investigate mathematical learning and development. The present meta-analysis statistically synthesized the extensive evidence on the correlation between number line estimation and broader mathematical competence. Averaged over 263 effect sizes with 10,576 participants with sample mean ages from 4…
Descriptors: Number Concepts, Numbers, Mathematics Instruction, Children
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Bailey, Drew H.; Fuchs, Lynn S.; Gilbert, Jennifer K.; Geary, David C.; Fuchs, Douglas – Child Development, 2020
We present first-grade, second-grade, and third-grade impacts for a first-grade intervention targeting the conceptual and procedural bases that support arithmetic. At-risk students (average age at pretest = 6.5) were randomly assigned to three conditions: a control group (n = 224) and two variants of the intervention (same conceptual instruction…
Descriptors: Grade 1, Grade 2, Grade 3, Elementary School Students
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Barner, David; Alvarez, George; Sullivan, Jessica; Brooks, Neon; Srinivasan, Mahesh; Frank, Michael C. – Child Development, 2016
Mental abacus (MA) is a technique of performing fast, accurate arithmetic using a mental image of an abacus; experts exhibit astonishing calculation abilities. Over 3 years, 204 elementary school students (age range at outset: 5-7 years old) participated in a randomized, controlled trial to test whether MA expertise (a) can be acquired in standard…
Descriptors: Mathematics Education, Randomized Controlled Trials, Spatial Ability, Mental Computation
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McNeil, Nicole M.; Fyfe, Emily R.; Petersen, Lori A.; Dunwiddie, April E.; Brletic-Shipley, Heather – Child Development, 2011
This study examined whether practice with arithmetic problems presented in a nontraditional problem format improves understanding of mathematical equivalence. Children (M age = 8;0; N = 90) were randomly assigned to practice addition in one of three conditions: (a) traditional, in which problems were presented in the traditional "operations…
Descriptors: Fundamental Concepts, Arithmetic, Equations (Mathematics), Mathematics Skills
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McNeil, Nicole M. – Child Development, 2008
Do typical arithmetic problems hinder learning of mathematical equivalence? Second and third graders (7-9 years old; N= 80) received lessons on mathematical equivalence either with or without typical arithmetic problems (e.g., 15 + 13 = 28 vs. 28 = 28, respectively). Children then solved math equivalence problems (e.g., 3 + 9 + 5 = 6 + __),…
Descriptors: Children, Grade 2, Grade 3, Grade 5
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Booth, Julie L.; Siegler, Robert S. – Child Development, 2008
This study examined whether the quality of first graders' (mean age = 7.2 years) numerical magnitude representations is correlated with, predictive of, and causally related to their arithmetic learning. The children's pretest numerical magnitude representations were found to be correlated with their pretest arithmetic knowledge and to be…
Descriptors: Pretests Posttests, Achievement Tests, Short Term Memory, Mathematics Skills
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Brainerd, Charles J. – Child Development, 1976
It is argued that Macnamara's criticisms of Piaget's theory of number do not lead to Macnamara's conclusions about arithmetic instruction. These conclusions appear to be based on misconceptions about logic and logical theories of number. The misconceptions are discussed and an empirical rationale for the conclusions about arithmetic instruction is…
Descriptors: Arithmetic, Logic, Mathematics Instruction, Number Concepts