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Sekeris, Elke; Verschaffel, Lieven; Luwel, Koen – European Journal of Psychology of Education, 2022
Computational estimation is seen as an important mathematical competence. Little is known, however, about the mathematical skills that are predictive of early computational estimation development. The current study longitudinally followed a group of about 350 children at four time points: second (K2, 4-year-olds) and third grades of kindergarten…
Descriptors: Mathematics Skills, Computation, Predictor Variables, Kindergarten
Prather, Richard – Developmental Science, 2021
Children's knowledge of arithmetic principles is a key aspect of early mathematics knowledge. Knowledge of arithmetic principles predicts how children approach solving arithmetic problems and the likelihood of their success. Prior work has begun to address how children might learn arithmetic principles in a classroom setting. Understanding of…
Descriptors: Attention, Number Concepts, Arithmetic, Children
Boby Ho-Hong Ching; Xiang Yu Li; Tiffany Ting Chen – British Journal of Educational Psychology, 2024
Background: Recent research showed that cross-notation magnitude knowledge of fractions and decimals was related to better performance in fraction arithmetic, but it remains unclear whether it made an independent contribution to fraction arithmetic longitudinally when other cognitive variables are considered. Aims: To examine the extent to which…
Descriptors: Number Concepts, Fractions, Arithmetic, Young Children
Susperreguy, María Inés; Di Lonardo Burr, Sabrina; Xu, Chang; Douglas, Heather; LeFevre, Jo-Anne – Child Development, 2020
This study investigated the longitudinal associations between children's early mathematics and their home numeracy environment (HNE). Chilean children from families who varied widely in socioeconomic status were assessed at the beginning and end of prekindergarten in 2016 (N = 419, M[subscript age] = 4:7 [years:months]), and at the end of…
Descriptors: Kindergarten, Young Children, Family Environment, Numeracy
Koponen, Tuire; Eklund, Kenneth; Heikkilä, Riikka; Salminen, Jonna; Fuchs, Lynn; Fuchs, Douglas; Aro, Mikko – Child Development, 2020
This study examines the core predictors of the covariance in reading and arithmetic fluency and the domain-general cognitive skills that explain the core predictors and covariance. Seven-year-old Finnish children (N = 200) were assessed on rapid automatized naming (RAN), phonological awareness, letter knowledge, verbal counting, number writing,…
Descriptors: Foreign Countries, Elementary School Students, Grade 2, Reading Fluency
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
van Vuuren, Eurika Jansen; Herzog, Moritz; Fritz, Annemarie – South African Journal of Childhood Education, 2018
Background: Several studies have shown the influence of mathematical knowledge on both individual opportunities and chances for a self-determined and prosperous life as well as the welfare of nations. Against this background, the contents of maths education in the foundation phase as well as the way in which it is conveyed gain importance. While…
Descriptors: Foreign Countries, Mathematics Instruction, Number Concepts, Early Childhood Education
Qin, Jike; Kim, Dan; Opfer, John – Grantee Submission, 2017
There is an ongoing debate over the psychophysical functions that best fit human data from numerical estimation tasks. To test whether one psychophysical function could account for data across diverse tasks, we examined 40 kindergartners, 38 first graders, 40 second graders and 40 adults' estimates using two fully crossed 2 × 2 designs, crossing…
Descriptors: Mathematics Skills, Numeracy, Arithmetic, Cognitive Processes
Träff, Ulf; Skagerlund, Kenny; Olsson, Linda; Östergren, Rickard – British Journal of Educational Psychology, 2017
Background: Developing sufficient mathematical skills is a prerequisite to function adequately in society today. Given this, an important task is to increase our understanding regarding the cognitive mechanisms underlying young people's acquisition of early number skills and formal mathematical knowledge. Aims: The purpose was to examine whether…
Descriptors: Adolescents, Females, Arithmetic, Mathematics Skills
Malone, Amelia Schneider; Loehr, Abbey M.; Fuchs, Lynn S. – Grantee Submission, 2017
The purpose of the study was to determine whether individual differences in at-risk 4th graders' language comprehension, nonverbal reasoning, concept formation, working memory, and use of decimal labels (i.e., place value, point, incorrect place value, incorrect fraction, or whole number) are related to their decimal magnitude understanding.…
Descriptors: Cognitive Ability, Arithmetic, Fractions, At Risk Students
Hannula-Sormunen, Minna M.; Lehtinen, Erno; Räsänen, Pekka – Mathematical Thinking and Learning: An International Journal, 2015
This seven-year longitudinal study examined how children's spontaneous focusing on numerosity (SFON), subitizing based enumeration, and counting skills assessed at five or six years predict their school mathematics achievement at 12 years. The participants were 36 Finnish children without diagnosed neurological disorders. The results, based on…
Descriptors: Preschool Children, Arithmetic, Mathematics Skills, Foreign Countries
Lyons, Ian M.; Price, Gavin R.; Vaessen, Anniek; Blomert, Leo; Ansari, Daniel – Developmental Science, 2014
Math relies on mastery and integration of a wide range of simpler numerical processes and concepts. Recent work has identified several numerical competencies that predict variation in math ability. We examined the unique relations between eight basic numerical skills and early arithmetic ability in a large sample (N = 1391) of children across…
Descriptors: Predictor Variables, Elementary School Students, Grade 1, Grade 2
Do First Graders Make Efficient Use of External Number Representations? The Case of the Twenty-Frame
Obersteiner, Andreas; Reiss, Kristina; Ufer, Stefan; Luwel, Koen; Verschaffel, Lieven – Cognition and Instruction, 2014
External number representations are commonly used throughout the first years of instruction. The twenty-frame is a grid that contains two rows of 10 dots each, and within each row, dots are organized in two groups of five. The assumption is that children can make use of these structures for enumerating the dots, rather than relying on one-by-one…
Descriptors: Grade 1, Elementary School Students, Numbers, Number Concepts
Lyons, Ian M.; Beilock, Sian L. – Cognition, 2011
What predicts human mathematical competence? While detailed models of number representation in the brain have been developed, it remains to be seen exactly how basic number representations link to higher math abilities. We propose that representation of ordinal associations between numerical symbols is one important factor that underpins this…
Descriptors: Mathematics Skills, Competence, Predictor Variables, Arithmetic
Rhodes, Katherine T.; Branum-Martin, Lee; Washington, Julie A.; Fuchs, Lynn S. – Journal of Educational Psychology, 2017
Using multitrait, multimethod data, and confirmatory factor analysis, the current study examined the effects of arithmetic item formatting and the possibility that across formats, abilities other than arithmetic may contribute to children's answers. Measurement hypotheses were guided by several leading theories of arithmetic cognition. With a…
Descriptors: Arithmetic, Mathematics Tests, Test Format, Psychometrics
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