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Cracking the Code of Place Value: The Relationship between "Place" and "Value" Takes Years to Master
Peer reviewed
Direct linkCheung, Pierina; Ansari, Daniel – Developmental Psychology, 2021
"Place value," which underlies the meanings of multidigits, encompasses the principle of position and base-10 rules. To understand 65, one needs to know that the digits 6 and 5 occupy different positions and thus represent ordered values of different magnitudes (i.e., the "principle of position") and that the value of each…
Descriptors: Number Concepts, Children, Child Development, Age Differences
Alexandria A. Viegut; Percival G. Matthews – Developmental Psychology, 2023
Understanding fraction magnitudes is foundational for later math achievement. To represent a fraction x/y, children are often taught to use "partitioning": Break the whole into y parts and shade in x parts. Past research has shown that partitioning on number lines supports children's fraction magnitude knowledge more than partitioning on…
Descriptors: Fractions, Mathematics Skills, Number Concepts, Skill Development
Lau, Nathan T. T.; Merkley, Rebecca; Tremblay, Paul; Zhang, Samuel; De Jesus, Stefanie; Ansari, Daniel – Developmental Psychology, 2021
Research has shown that two different, though related, ways of representing magnitude play foundational roles in the development of numerical and mathematical skills: a nonverbal approximate number system and an exact symbolic number system. While there have been numerous studies suggesting that the two systems are important predictors of math…
Descriptors: Kindergarten, Symbols (Mathematics), Mathematics Instruction, Predictor Variables
Wall, Jenna L.; Thompson, Clarissa A.; Dunlosky, John; Merriman, William E. – Developmental Psychology, 2016
Accurate monitoring and control are essential for effective self-regulated learning. These metacognitive abilities may be particularly important for developing math skills, such as when children are deciding whether a math task is difficult or whether they made a mistake on a particular item. The present experiments investigate children's ability…
Descriptors: Mathematics Instruction, Computation, Number Concepts, Metacognition
Hamdan, Noora; Gunderson, Elizabeth A. – Developmental Psychology, 2017
Children's ability to place fractions on a number line strongly correlates with math achievement. But does the number line play a causal role in fraction learning or does it simply index more advanced fraction knowledge? The number line may be a particularly effective representation for fraction learning because its properties align with the…
Descriptors: Fractions, Number Concepts, Pretests Posttests, Elementary School Students
Xu, Chang; LeFevre, Jo-Anne – Developmental Psychology, 2016
Are there differential benefits of training sequential number knowledge versus spatial skills for children's numerical and spatial performance? Three- to five-year-old children (N = 84) participated in 1 session of either sequential training (e.g., what comes before and after the number 5?) or non-numerical spatial training (i.e., decomposition of…
Descriptors: Young Children, Preschool Children, Numbers, Mathematics
