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T. S. Kutaka; P. Chernyavskiy; J. Sarama; D. H. Clements – Grantee Submission, 2023
Investigators often rely on the proportion of correct responses in an assessment when describing the impact of early mathematics interventions on child outcomes. Here, we propose a shift in focus to the relative sophistication of problem-solving strategies and offer methodological guidance to researchers interested in working with strategies. We…
Descriptors: Learning Trajectories, Problem Solving, Mathematics Instruction, Early Intervention
Braithwaite, David W.; Leib, Elena R.; Siegler, Robert S.; McMullen, Jake – Grantee Submission, 2019
Understanding fractions is critical to mathematical development, yet many children struggle with fractions even after years of instruction. Fraction arithmetic is particularly challenging. The present study employed a computational model of fraction arithmetic learning, FARRA (Fraction Arithmetic Reflects Rules and Associations; Braithwaite, Pyke,…
Descriptors: Individual Differences, Fractions, Arithmetic, Mathematics Instruction
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