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Direct linkDavid W. Braithwaite; Anna N. Rafferty – Cognitive Science, 2025
Math problem solving frequently involves choices among alternative strategies. Strategy choices, and effects of problem features on strategy choices, both vary among individuals. We propose that individual differences in strategy choices can be well characterized in terms of parametric variation in three types of influence: global bias, relevant…
Descriptors: Individual Differences, Fractions, Arithmetic, Problem Solving
Download full textLóa Björk Jóelsdóttir; Pernille Bødtker Sunde; Peter Sunde; Paul Andrews – Journal of Numerical Cognition, 2024
Motivated by a curriculum privileging number-based strategies but national tests highlighting students' reliance on standard algorithms, this study analyses 2,216 Danish Grade 3, 6 and 8 students' solutions to various multidigit arithmetic tasks, each designed to elicit shortcut strategies, against background variables including sex, ethnicity and…
Descriptors: Mathematical Concepts, Mathematics Education, Mathematics Achievement, Foreign Countries
Wang, Yunqi; Siegler, Robert S. – Developmental Psychology, 2023
We examined the development of numerical magnitude representations of fractions and decimals from fourth to 12th grade. In Experiment 1, we assessed the rational number magnitude knowledge of 200 Chinese fourth, fifth, sixth, eighth, and 12th graders (92 girls and 108 boys) by presenting fraction and decimal magnitude comparison tasks as well as…
Descriptors: Elementary School Students, Secondary School Students, Grade 4, Grade 5
Mika Paananen; Tuija Aro; Tuire Koponen; Helena Viholainen; Asko Tolvanen; Pilvi Peura; Mikko Aro – Educational Psychology, 2023
Self-regulatory efficacy (SRE) among elementary school children is of interest because pupils' self-regulation capacities and SRE influence in managing learning situations. This study investigated variations in the four sources of SRE and how these variations were related to SRE, reading skills and arithmetic skills. The participants were 1284…
Descriptors: Individual Differences, Mastery Learning, Elementary School Students, Metacognition
Greiner de Magalhães, Caroline; Mervis, Carolyn B.; Cardoso-Martins, Cláudia – Reading and Writing: An Interdisciplinary Journal, 2021
We examined the contribution of a major predictor of basic literacy ability--phoneme awareness--to individual differences in two arithmetic computation tasks: a speeded task consisting of simple computation problems (arithmetic fluency) and an untimed, more complex computation task involving multi-digit operands (numerical operations). The…
Descriptors: Predictor Variables, Arithmetic, Reading Fluency, Spelling
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
Siegler, Robert S.; Pyke, Aryn A. – Grantee Submission, 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 crosssectional design. Results indicated that the difference…
Descriptors: Age Differences, Individual Development, Individual Differences, Mathematics
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
