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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
Belin, Mervenur; Akar, Gülseren Karagöz – Mathematics Teacher Educator, 2020
The understandings prospective mathematics teachers develop by focusing on quantities and quantitative relationships within real numbers have the potential for enhancing their future students' understanding of real numbers. In this article, we propose an instructional sequence that addresses quantitative relationships for the construction of real…
Descriptors: Preservice Teachers, Mathematics Teachers, Pedagogical Content Knowledge, Number Concepts
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
Fuchs, Lynn S.; Bucka, Nicole; Clarke, Ben; Dougherty, Barbara; Jordan, Nancy C.; Karp, Karen S.; Woodward, John; Jayanthi, Madhavi; Gersten, Russell; Newman-Gonchar, Rebecca; Schumacher, Robin; Haymond, Kelly; Lyskawa, Julia; Keating, Betsy; Morgan, Seth – What Works Clearinghouse, 2021
Recent intervention research has demonstrated success in raising the achievement level of students who are struggling with mathematics. This practice guide, developed by the What Works Clearinghouse™ (WWC) in conjunction with an expert panel, distills this contemporary mathematics intervention research into six easily comprehensible and practical…
Descriptors: Elementary School Mathematics, Intervention, Mathematics Instruction, Numbers
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
Xu, Chang; LeFevre, Jo-Anne – Developmental Psychology, 2016
Are there differential benefits of training sequential number knowledge versus spatial skills for children's numerical and spatial performance? Three- to five-year-old children (N = 84) participated in 1 session of either sequential training (e.g., what comes before and after the number 5?) or non-numerical spatial training (i.e., decomposition of…
Descriptors: Young Children, Preschool Children, Numbers, Mathematics
Ng, Kelvin H. R.; Hartman, Kevin; Liu, Kai; Khong, Andy W. H. – International Educational Data Mining Society, 2016
During the semester break, 36 second-grade students accessed a set of resources and completed a series of online math activities focused on the application of the model method for arithmetic in two contexts 1) addition/subtraction and 2) multiplication/division. The learning environment first modeled and then supported the use of a scripted series…
Descriptors: Word Problems (Mathematics), Mathematics Instruction, Arithmetic, Problem Solving
Wright, Robert J. – South African Journal of Childhood Education, 2013
This article describes a comprehensive and novel approach to assessment in early numeracy. Topics include the significance of early numeracy, developing a nomenclature for early numeracy, and describing the context for the development of this approach to assessment. The largely unrealised importance of numerals and numeral sequences in early…
Descriptors: Numeracy, Mathematics Instruction, Elementary School Mathematics, Classification
Peer reviewedStein, Marci – Teaching Exceptional Children, 1987
Teachers can help students with learning problems in solving arithmetic word problems by following the principles commonly used in the design of Direct Instruction curricula: teach rules and strategies rather than rote memorization; sequence examples and skills carefully; and introduce and review skills cumulatively. (CB)
Descriptors: Arithmetic, Mathematics Instruction, Mathematics Skills, Mild Disabilities
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)
Rosenthal, Daniel J. A.; Resnick, Lauren B. – 1971
The effects of three variables on the difficulty of verbal arithmetic problems were examined. Variables included problem form, sequence of information, and problem verb. A total of 32 problems was generated, four in each of four problem forms and two sequences of information. Vocabulary words were not above second-grade level, and numbers used…
Descriptors: Arithmetic, Content Area Reading, Elementary School Mathematics, Elementary School Students
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
