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Improving Children's Fraction Understanding through the Use of Number Lines
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Soni, Meghna; Okamoto, Yukari – Mathematical Thinking and Learning: An International Journal, 2020
Competence in fractions is important in achieving advanced mathematics such as algebra and calculus. To foster students' understanding of fractions, intervention studies have found number lines to be an effective representational tool. Yet, it is unclear whether or not number lines are equally effective regardless of the ways in which they are…
Descriptors: Mathematics Instruction, Fractions, Mathematical Concepts, Numbers
Learning to "See" Less than Nothing: Putting Perceptual Skills to Work for Learning Numerical Structure
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Tsang, Jessica M.; Blair, Kristen P.; Bofferding, Laura; Schwartz, Daniel L. – Cognition and Instruction, 2015
How can children's natural perceptuo-motor skills be harnessed for teaching and learning mathematical structure? We address this question in the case of the integers. Existing research suggests that adult mental representations of integers recruit perceptuo-motor functionalities involving symmetry. Building on these findings, we designed a…
Descriptors: Neurological Organization, Mathematics Instruction, Numbers, Grade 4
NAEP 1996 Mathematics State Report for California. Findings from the National Assessment of Educational Progress.
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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
NAEP 1992 Mathematics State Report for California. The Trial State Assessment Program.
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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)