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Liu, Qiushan; Braithwaite, David – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2023
Rational numbers are represented by multiple notations: fractions, decimals, and percentages. Whereas previous studies have investigated affordances of these notations for representing different types of information (DeWolf et al., 2015; Tian et al., 2020), the present study investigated their affordances for solving different types of arithmetic…
Descriptors: Fractions, Arithmetic, Mathematical Concepts, Affordances
Kelly-Ann Gesuelli; Nancy C. Jordan – Journal of Educational Psychology, 2024
Fraction arithmetic facility is fundamental to learning more advanced math topics. However, attaining the ability to add and subtract fractions is hard for many students. The present longitudinal study examined students' growth on simple addition and subtraction word problems between fourth and sixth grades (N = 536). Latent class growth analyses…
Descriptors: Fractions, Arithmetic, Error Patterns, Mathematics Instruction
Darius Endlich; Wolfgang Lenhard; Peter Marx; Tobias Richter – Journal of Learning Disabilities, 2024
Children with mathematical difficulties need to spend more time than typically achieving children on solving even simple equations. Since these tasks already require a larger share of their cognitive resources, additional demands imposed by the need to switch between tasks may lead to a greater decline of performance in children with mathematical…
Descriptors: Mathematics Instruction, Learning Problems, Arithmetic, Mathematics Achievement
Rhodes, Katherine T.; Lukowski, Sarah; Branum-Martin, Lee; Opfer, John; Geary, David C.; Petrill, Stephen A. – Journal of Educational Psychology, 2019
The strategy choice model (SCM) is a highly influential theory of human problem-solving. One strength of this theory is the allowance for both item and person variance to contribute to problem-solving outcomes, but this central tenet of the model has not been empirically tested. Explanatory item response theory (EIRT) provides an ideal approach to…
Descriptors: Learning Strategies, Addition, Problem Solving, Item Response Theory
Rhodes, Katherine T.; Lukowski, Sarah; Branum-Martin, Lee; Opfer, John; Geary, David C.; Petrill, Stephen A. – Grantee Submission, 2018
The strategy choice model (SCM) is a highly influential theory of human problem-solving. One strength of this theory is the allowance for both item and person variance to contribute to problem-solving outcomes, but this central tenet of the model has not been empirically tested. Explanatory item response theory (EIRT) provides an ideal approach to…
Descriptors: Learning Strategies, Addition, Problem Solving, Item Response Theory
Vasilyeva, Marina; Laski, Elida V.; Shen, Chen – Developmental Psychology, 2015
The present study tested the hypothesis that children's fluency with basic number facts and knowledge of computational strategies, derived from early arithmetic experience, predicts their performance on complex arithmetic problems. First-grade students from United States and Taiwan (N = 152, mean age: 7.3 years) were presented with problems that…
Descriptors: Grade 1, Elementary School Students, Numeracy, Computation

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