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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
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
Eisenreich, Heidi; Andreasen, Janet – North American Chapter of the International Group for the Psychology of Mathematics Education, 2016
The purpose of this study was to investigate the extent to which parents of first, second, and third grade students who attended a two-day workshop on mathematics strategies shifted beliefs about learning mathematics as compared to parents who did not attend the workshops. Parents impact their children's mathematics learning when the students are…
Descriptors: Parent Education, Workshops, Child Rearing, Parenting Skills
What Works Clearinghouse, 2007
"Cognitive Tutor[R] Algebra I," a full year course, delivers instruction in single variable data, simplifying linear expressions, mathematical modeling, solving systems with linear equations, problem solving using proportional reasoning, and powers and exponents. Students work at their own pace to develop problem-solving skills. The…
Descriptors: Class Activities, Intervention, Grade 9, Algebra
Reese, Clyde M.; Jerry, Laura; Ballator, Nada – 1997
The National Assessment of Educational Progress (NAEP) is the only nationally representative and continuing assessment of what students in the United States know and can do in various academic subjects. The 1996 NAEP in mathematics assessed the current level of mathematical achievement as a mechanism for informing education reform. In 1996, 44…
Descriptors: Algebra, Elementary Education, Functions (Mathematics), Geometry
National Assessment of Educational Progress, Princeton, NJ. – 1993
In 1990, the National Assessment of Educational Progress (NAEP) included a Trial State Assessment which, for the first time in the NAEP's history, made voluntary state-by-state assessments. This 1992 mathematics report marks the first attempt of the National Center for Education Statistics (NCES) to shift to standards-based reporting of National…
Descriptors: Algebra, Calculators, Elementary Education, Estimation (Mathematics)