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Download full textSarah Podwinski; Iroise Dumontheil – Mathematics Education Research Group of Australasia, 2025
Mathematical problem-solving places heavy demands on children's developing working memory capacity. This review examines how offloading numerical information using embodied (e.g. finger counting) or external tools (e.g. manipulatives) can reduce cognitive load and improve mathematical task performance. Strategic offloading emerges in childhood;…
Descriptors: Problem Solving, Short Term Memory, Numbers, Cognitive Processes
Peer reviewed
Direct linkFitzsimmons, Charles J.; Morehead, Kayla; Thompson, Clarissa A.; Buerke, Morgan; Dunlosky, John – Journal of Experimental Education, 2023
We investigated whether three interventions -- studying incorrect worked examples, studying correct worked examples, or receiving feedback -- improved children's 0-1,000 (Experiment 1) and adults' 1 thousand--1 billion (Experiment 2) number-line estimation precision relative to a no intervention control group. At pretest, participants estimated…
Descriptors: Feedback (Response), Problem Solving, Accuracy, Number Concepts
Poloczek, Sebastian; Hammerstein, Svenja; Büttner, Gerhard – Journal of Numerical Cognition, 2022
Being able to perform computational estimations efficiently is an important skill. Furthermore, computational estimation experiments are used to study general principles in strategy development. Rounding strategies are common in computational estimation. However, little is known about whether and when children use a mixed-rounding strategy (i.e.,…
Descriptors: Children, Learning Strategies, Mathematics Skills, Computation
Tosto, Maria Grazia; Garon-Carrier, Gabrielle; Gross, Susan; Petrill, Stephen A.; Malykh, Sergey; Malki, Karim; Hart, Sara A.; Thompson, Lee; Karadaghi, Rezhaw L.; Yakovlev, Nikita; Tikhomirova, Tatiana; Opfer, John E.; Mazzocco, Michèle M. M.; Dionne, Ginette; Brendgen, Mara; Vitaro, Frank; Tremblay, Richard E.; Boivin, Michel; Kovas, Yulia – British Journal of Educational Psychology, 2019
Background: The number line task assesses the ability to estimate numerical magnitudes. People vary greatly in this ability, and this variability has been previously associated with mathematical skills. However, the sources of individual differences in number line estimation and its association with mathematics are not fully understood. Aims: This…
Descriptors: Twins, Individual Differences, Computation, Mathematics Skills
Sidney, Pooja; Thompson, Clarissa G.; Opfer, John E. – Grantee Submission, 2019
Children's understanding of fractions, including their symbols, concepts, and arithmetic procedures, is an important facet of both developmental research on mathematics cognition and mathematics education. Research on infants', children's, and adults' fraction and ratio reasoning allows us to test a range of proposals about the development of…
Descriptors: Mathematics Instruction, Mathematical Concepts, Concept Formation, Fractions
McMartin, Kimberley; McMaster, Heather – Australian Primary Mathematics Classroom, 2016
As an alternative to looking solely at linear functions, a three-lesson learning progression developed for Year 6 students that incorporates triangular numbers to develop children's algebraic thinking is described and evaluated.
Descriptors: Elementary School Mathematics, Elementary School Students, Mathematics Instruction, Number Concepts
Reeve, Robert; Reynolds, Fiona; Humberstone, Judi; Butterworth, Brian – Journal of Experimental Psychology: General, 2012
Dot enumeration (DE) and number comparison (NC) abilities are considered markers of core number competence. Differences in DE/NC reaction time (RT) signatures are thought to distinguish between typical and atypical number development. Whether a child's DE and NC signatures change or remain stable over time, relative to other developmental…
Descriptors: Cognitive Ability, Profiles, Children, Reaction Time
Chandler, Cynthia C.; Kamii, Constance – Journal for Research in Mathematics Education, 2009
The purpose of this study was to investigate children's construction of 10s out of the 1s they have already constructed. It was found that, for many younger children, a dime was something different from 10 pennies even though they could say with confidence that a dime was worth 10 cents. As the children grew older, their performance improved.…
Descriptors: Problem Solving, Arithmetic, Number Concepts, Children
Goodstein, Henry A. – Education and Training of the Mentally Retarded, 1973
Descriptors: Abstract Reasoning, Children, Exceptional Child Research, Mathematics
Empson, Susan B.; Junk, Debra; Dominguez, Higinio; Turner, Erin – Educational Studies in Mathematics, 2006
Although equal sharing problems appear to support the development of fractions as multiplicative structures, very little work has examined how children's informal solutions reflect this possibility. The primary goal of this study was to analyze children's coordination of two quantities (number of people sharing and number of things being shared)…
Descriptors: Mathematics, Problem Solving, Elementary School Students, Numbers
Shen, Hong – Journal of the International Association of Special Education, 2006
The abacus is a calculating tool that has been used in Asia for thousands of years. Mental abacus calculation is a skill in which an abacus image in the mind is used without the actual physical manipulation of the abacus. Using this method, people can perform extremely rapid and accurate mental calculations. Research indicates that abacus training…
Descriptors: Mathematics Education, Moderate Mental Retardation, Mathematics Achievement, Mental Computation
