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Minor Changes, Big Differences? Effects of Manipulating Play Materials on Parental Math Talk
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Lu, Linxi; Vasilyeva, Marina; Laski, Elida V. – Developmental Psychology, 2023
Given the established role of parental talk in the growth of math knowledge in preschoolers, there has been an increasing focus on identifying ways to promote parental math talk at this stage of child development. The current study investigated how parental math talk is affected by features of play materials and contexts. The features were…
Descriptors: Play, Mathematics Instruction, Parent Child Relationship, Child Development
The Sums Are Larger than Their Natural Number Addends: Relation to Operands Understanding Predicts Growth in Arithmetic/Algebraic Problem Solving
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Wong, Terry Tin-Yau; Kwan, Kam-Tai – Developmental Psychology, 2023
The relation to operands (RO) principles describe the relation between operands and answers in arithmetic problems (e.g., the sum is always larger than its positive addends). Despite being a fundamental property of arithmetic, its empirical relation with arithmetic/algebraic problem solving has seldom been investigated. The current longitudinal…
Descriptors: Mathematics Instruction, Arithmetic, Problem Solving, Algebra
Building Fraction Magnitude Knowledge with Number Lines: Partitioning versus Analogy
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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
Longitudinal Pathways of Numerical Abilities in Preschool: Cognitive and Environmental Correlates and Relation to Primary School Mathematics Achievement
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Bakker, Merel; Torbeyns, Joke; Verschaffel, Lieven; De Smedt, Bert – Developmental Psychology, 2023
Children start preschool with large individual differences in their early numerical abilities. Little is known about the importance of heterogeneous patterns that exist within these individual differences. A person-centered analytic approach might be helpful to unravel these patterns and the cognitive and environmental factors that are associated…
Descriptors: Longitudinal Studies, Mathematics Instruction, Mathematics Achievement, Preschool Education
Knowing, Applying, and Reasoning about Arithmetic: Roles of Domain-General and Numerical Skills in Multiple Domains of Arithmetic Learning
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Zhang, Xiao; Räsänen, Pekka; Koponen, Tuire; Aunola, Kaisa; Lerkkanen, Marja-Kristiina; Nurmi, Jari-Erik – Developmental Psychology, 2017
The longitudinal relations of domain-general and numerical skills at ages 6-7 years to 3 cognitive domains of arithmetic learning, namely knowing (written computation), applying (arithmetic word problems), and reasoning (arithmetic reasoning) at age 11, were examined for a representative sample of 378 Finnish children. The results showed that…
Descriptors: Arithmetic, Mathematics Instruction, Mathematical Logic, Short Term Memory
Training Young Children on Sequential Relations among Numbers and Spatial Decomposition: Differential Transfer to Number Line and Mental Transformation Tasks
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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
Developmental and Individual Differences in Understanding of Fractions
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Siegler, Robert S.; Pyke, Aryn A. – Developmental Psychology, 2013
We examined developmental and individual differences in 6th and 8th graders' fraction arithmetic and overall mathematics achievement and related them to differences in understanding of fraction magnitudes, whole number division, executive functioning, and metacognitive judgments within a cross-sectional design. Results indicated that the…
Descriptors: Grade 6, Arithmetic, Mathematics Skills, Mathematics Instruction