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Braithwaite, David W.; Sprague, Lauren; Siegler, Robert S. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2022
To explain children's difficulties learning fraction arithmetic, Braithwaite et al. (2017) proposed FARRA, a theory of fraction arithmetic implemented as a computational model. The present study tested predictions of the theory in a new domain, decimal arithmetic, and investigated children's use of conceptual knowledge in that domain. Sixth and…
Descriptors: Number Concepts, Numbers, Arithmetic, Fractions
Braithwaite, David W.; Siegler, Robert S. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2018
Fraction arithmetic is among the most important and difficult topics children encounter in elementary and middle school mathematics. Braithwaite, Pyke, and Siegler (2017) hypothesized that difficulties learning fraction arithmetic often reflect reliance on associative knowledge--rather than understanding of mathematical concepts and procedures--to…
Descriptors: Addition, Arithmetic, Correlation, Foreign Countries
Fazio, Lisa K.; DeWolf, Melissa; Siegler, Robert S. – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2016
We examined, on a trial-by-trial basis, fraction magnitude comparison strategies of adults with more and less mathematical knowledge. College students with high mathematical proficiency used a large variety of strategies that were well tailored to the characteristics of the problems and that were guaranteed to yield correct performance if executed…
Descriptors: Undergraduate Students, College Mathematics, Mathematics Skills, Learning Strategies