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Direct linkClements, Douglas H.; Sarama, Julie; Baroody, Arthur J.; Joswick, Candace – ZDM: The International Journal on Mathematics Education, 2020
Although basing instruction on a learning trajectory (LT) is often recommended, there is little direct evidence to support the premise of a "LT approach"--that to be maximally meaningful, engaging, and effective, instruction is best presented one LT level beyond a child's present level of thinking. The present report serves to address…
Descriptors: Mathematics Instruction, Teaching Methods, Kindergarten, Preschool Children
Download full textClements, Douglas H.; Sarama, Julie; Baroody, Arthur J.; Joswick, Candace – Grantee Submission, 2019
Although basing instruction on a learning trajectory (LT) is often recommended, there is little direct evidence to support the premise of a "LT approach"--that to be maximally meaningful, engaging, and effective, instruction is best presented one LT level beyond a child's present level of thinking. The present report serves to address…
Descriptors: Mathematics Instruction, Teaching Methods, Instructional Effectiveness, Kindergarten
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
Flores, Alfinio; Turner, Erin E.; Bachman, Renee C. – Teaching Children Mathematics, 2005
The way in which two teachers, Elizabeth and Carolyn, posed problems to develop their own conceptual understanding of division of fractions in terms that would also be meaningful for their students is described. Carolyn and Elizabeth's approach is to pose several problems of various degrees of difficulty and complexity for each aspect of the…
Descriptors: Arithmetic, Problem Solving, Sequential Learning, Word Problems (Mathematics)
Peer reviewedCartwright, G. Phillip – American Educational Research Journal, 1971
Descriptors: Adolescents, Arithmetic, Fractions, Mild Mental Retardation
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
