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Flores, Margaret M.; Hinton, Vanessa M.; Taylor, Ja'Lia J. – Preventing School Failure, 2018
Students must leave elementary school with a firm understanding of fractions and decimals in order to make satisfactory progress in advanced mathematics. Firm understanding includes manipulation of rational numbers using different models of representation such as area and length. Research has demonstrated that a graduated sequence such as…
Descriptors: Elementary School Mathematics, Elementary School Students, Grade 5, Fractions

Cartwright, G. Phillip – American Educational Research Journal, 1971
Descriptors: Adolescents, Arithmetic, Fractions, Mild Mental Retardation

Butler, Frances M.; Miller, Susan P.; Crehan, Kevin; Babbitt, Beatrice; Pierce, Thomas – Learning Disabilities: Research & Practice, 2003
This study compared effectiveness of either a concrete-representational-abstract (CRA) or a representational-abstract (RA) instructional sequence in teaching fraction concepts to 50 middle school students with mathematics disabilities. On all achievement measures, students in the CRA group had overall higher mean scores than did students in the RA…
Descriptors: Fractions, Instructional Effectiveness, Learning Disabilities, Manipulative Materials
Philadelphia School District, PA. Office of Curriculum and Instruction. – 1982
This teacher's guide is the ninth in a set of 20 activity booklets for teaching mathematics to children in grades 1-8. The 20-level curriculum embodies carefully delineated areas of learning arranged in progressive stages, eliminating grade restrictions and permitting continuous growth according to the individual's ability and rate of learning.…
Descriptors: Arithmetic, Continuous Progress Plan, Elementary Education, Elementary School Mathematics