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Alexandria A. Viegut; Percival G. Matthews – Grantee Submission, 2023
Understanding fraction magnitudes is foundational for later math achievement. To represent a fraction "x/y," children are often taught to use "partitioning": break the whole into "y" parts, and shade in "x" parts. Past research has shown that partitioning on number lines supports children's fraction…
Descriptors: Fractions, Mathematics Skills, Number Concepts, Skill Development
Alexandria A. Viegut; Percival G. Matthews – Developmental Psychology, 2023
Understanding fraction magnitudes is foundational for later math achievement. To represent a fraction x/y, children are often taught to use "partitioning": Break the whole into y parts and shade in x parts. Past research has shown that partitioning on number lines supports children's fraction magnitude knowledge more than partitioning on…
Descriptors: Fractions, Mathematics Skills, Number Concepts, Skill Development
Milton, Jessica H.; Flores, Margaret M.; Hinton, Vanessa M.; Dunn, Caroline; Darch, Craig B. – Learning Disabilities Research & Practice, 2023
This study investigated the effects of a place value intervention with third-grade students with learning disabilities. The intervention added content to a research-based intervention using the concrete-representational-abstract (CRA) sequence. The added content reflected current mathematics standards for third grade. Students' place value…
Descriptors: Grade 3, Students with Disabilities, Learning Disabilities, Intervention
Xu, Chang; LeFevre, Jo-Anne; Skwarchuk, Sheri-Lynn; Di Lonardo Burr, Sabrina; Lafay, Anne; Wylie, Judith; Osana, Helena P.; Douglas, Heather; Maloney, Erin A.; Simms, Victoria – Developmental Psychology, 2021
In the present research, we provide empirical evidence for the process of symbolic integration of number associations, focusing on the development of simple addition (e.g., 5 + 3 = 8), subtraction (e.g., 5 - 3 = 2), and multiplication (e.g., 5 × 3 = 15). Canadian children were assessed twice, in Grade 2 and Grade 3 (N = 244; 55% girls). All…
Descriptors: Foreign Countries, Arithmetic, Mathematics Skills, Age Differences
Ben-Yehuda, Miriam; Sharoni, Varda – Journal of Cognitive Education and Psychology, 2021
The research examined the calculation methods used by pupils in Grades 3-6 when they were presented with problems that could be worked out efficiently and flexibly by applying number sense. The study was conducted with a convenience sample of 179 pupils between the ages 7 years and 10 months to 12 years and 10 months. in mainstream education in…
Descriptors: Numeracy, Number Concepts, Computation, Grade 3
Bakker, Merel; Torbeyns, Joke; Verschaffel, Lieven; De Smedt, Bert – Journal of Educational Psychology, 2022
Many studies in the past decades have focused on low and typical mathematics achievers, yet little is known about children with high mathematics achievement, particularly at a young age. The current study aimed to fill this gap and started from the early work of Krutetskii (1976) as a theoretical lens to study the characteristics of high…
Descriptors: High Achievement, Elementary School Students, Elementary School Mathematics, Mathematics Achievement
Lafay, Anne; St-Pierre, Marie-Catherine; Macoir, Joël – Journal of Learning Disabilities, 2017
Numbers may be manipulated and represented mentally over a compressible number line oriented from left to right. According to numerous studies, one of the primary reasons for dyscalculia is related to improper understanding of the mental number line. Children with dyscalculia usually show difficulty when they have to place Arabic numbers on a…
Descriptors: Learning Disabilities, Grade 3, Elementary School Students, Foreign Countries
LeFevre, Jo-Anne; Berrigan, Lindsay; Vendetti, Corrie; Kamawar, Deepthi; Bisanz, Jeffrey; Skwarchuk, Sheri-Lynn; Smith-Chant, Brenda L. – Journal of Experimental Child Psychology, 2013
We examined the role of executive attention, which encompasses the common aspects of executive function and executive working memory, in children's acquisition of two aspects of mathematical skill: (a) knowledge of the number system (e.g., place value) and of arithmetic procedures (e.g., multi-digit addition) and (b) arithmetic fluency (i.e.,…
Descriptors: Arithmetic, Number Concepts, Number Systems, Executive Function
Jordan, Nancy C.; Hansen, Nicole; Fuchs, Lynn S.; Siegler, Robert S.; Gersten, Russell; Micklos, Deborah – Grantee Submission, 2013
Developmental predictors of children's fraction concepts and procedures at the end of fourth grade were investigated in a 2-year longitudinal study. Participants were 357 children who started the study in third grade. Attentive behavior, language, nonverbal reasoning, number line estimation, calculation fluency, and reading fluency each…
Descriptors: Elementary School Mathematics, Elementary School Students, Grade 4, Grade 3
Yang, Der-Ching; Wu, Wan-Ru – Journal of Educational Research, 2010
The authors compared the performance of students who received integration of number sense activities in instruction with students who received instruction using regular mathematics textbooks. Two classes of third-grade students (N = 60) were randomly assigned to experimental and control groups. Students in each group were given a pretest, post I…
Descriptors: Experimental Groups, Control Groups, Foreign Countries, Instructional Effectiveness
Fuchs, Lynn S.; Powell, Sarah R.; Seethaler, Pamela M.; Fuchs, Douglas; Hamlett, Carol L.; Cirino, Paul T.; Fletcher, Jack M. – Exceptional Children, 2010
This article introduces a framework for the remediation of number combination (NC) deficits. Research on the remediation of NC deficits is summarized, and research program studies are used to illustrate the 3 approaches to remediation. The Framework comprises a 2-stage system of remediation. The less intensive stage implementing 1 of 3…
Descriptors: Intervention, Student Reaction, Remedial Instruction, Numeracy
Liu, Fuchang – School Science and Mathematics, 2009
Four hundred and three 3rd- and 5th-grade Chinese students took the Multiplication Estimation Test or participated in the interview on it, designed to assess their computational estimation performance on whole-number multiplication. Students perform better when tasks are presented visually than orally. Third graders tend to use rounding based…
Descriptors: Mental Computation, Grade 5, Grade 3, Arithmetic
Ashkenazi, Sarit; Mark-Zigdon, Nitza; Henik, Avishai – Cognitive Development, 2009
Children in third and fourth grades suffering from developmental dyscalculia (DD) and typically developing children were asked to compare numbers to a standard. In two separate blocks, they were asked to compare a number between 1 and 9 to 5, or a two-digit number between 10 and 99 to 55. In the single-digit comparisons, DD children were…
Descriptors: Control Groups, Reaction Time, Learning Disabilities, Mathematics Skills
Andersson, Ulf – Journal of Educational Psychology, 2008
The mathematical performance of 182 third and fourth graders in 8 different areas of mathematics was examined. The children belonged to 4 achievement groups: children with mathematic difficulties (MD only), children with both mathematic and reading difficulties (MD-RD), children with reading difficulties (RD only), and normally achieving children…
Descriptors: Reading Difficulties, Learning Problems, Problem Solving, Number Concepts
Faux, Geoff – Mathematics Teaching Incorporating Micromath, 2007
In this article, the author argues that coordinate geometry and all its trappings should be banned from key stage 2 in English schools. To explain why he makes such a strong statement, he discusses geometry problems tackled by the Ancient Greeks, showing how meaningful problem solving can occur without the use of coordinates and the corresponding…
Descriptors: Geometric Concepts, Number Concepts, Geometry, History
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