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Inés Gallego-Sánchez; Verónica Martín-Molina; Isabel Caro-Torró; José María Gavilán-Izquierdo – Education 3-13, 2025
Our work investigated how six primary school students used a non-traditional method for adding and subtracting: the ABN method, a Spanish acronym for Open (method) Based on Numbers. Commognitive theory [Sfard, A. 2008. "Thinking as Communicating: Human Development, the Growth of Discourses, and Mathematizing." New York: Cambridge…
Descriptors: Foreign Countries, Elementary School Students, Addition, Subtraction
Estela A. Vallejo-Vargas; David A. Reid – International Journal of Science and Mathematics Education, 2024
This article presents a case study of two Grade 5 boys' argumentation concerning addition and subtraction of negative numbers while using an interactive tablet-based application simulating positive and negative tiles. We examine the properties of integers they conjectured, and the kinds of evidence and arguments they used to support their…
Descriptors: Grade 5, Persuasive Discourse, Addition, Subtraction
Marah Sutherland; David Furjanic; Joanna Hermida; Ben Clarke – Intervention in School and Clinic, 2024
This article illustrates how teachers can use number lines to support students with or at risk for learning disabilities (LD) in mathematics. Number lines can be strategically used to help students understand relations among numbers, approach number combinations (i.e., basic facts), as well as represent and solve addition and subtraction problems.…
Descriptors: Number Concepts, Arithmetic, Mathematics Instruction, Teaching Methods
Delia Leuenberger; Elisabeth Moser Opitz; Noemi Gloor – Journal of Numerical Cognition, 2024
Computation competence (CC) in simple addition and subtraction using non-counting (NC) strategies is an important learning objective in Grade 1 mathematics but many children, especially low achievers in mathematics, struggle to acquire these skills. To provide these students with the support they need, it is important to have valid and reliable…
Descriptors: Computation, Mathematics Skills, Addition, Subtraction
Emily C. Bouck; Holly Long; Megan Harris; Abby Whorley – Education and Training in Autism and Developmental Disabilities, 2024
Researchers determined virtual manipulatives, on their own or as part of an instructional sequence, to be an evidence-based practice for students with intellectual and developmental disabilities (IDD; Long et al., 2022). Yet, the majority of research looking at virtual manipulative-based instructional sequences involves the phases learned in a…
Descriptors: Students with Disabilities, Evidence Based Practice, Intellectual Disability, Developmental Disabilities
Boby Ho-Hong Ching; Xiang Yu Li; Tiffany Ting Chen – British Journal of Educational Psychology, 2024
Background: Recent research showed that cross-notation magnitude knowledge of fractions and decimals was related to better performance in fraction arithmetic, but it remains unclear whether it made an independent contribution to fraction arithmetic longitudinally when other cognitive variables are considered. Aims: To examine the extent to which…
Descriptors: Number Concepts, Fractions, Arithmetic, Young Children
Kelly-Ann Gesuelli; Nancy C. Jordan – Journal of Educational Psychology, 2024
Fraction arithmetic facility is fundamental to learning more advanced math topics. However, attaining the ability to add and subtract fractions is hard for many students. The present longitudinal study examined students' growth on simple addition and subtraction word problems between fourth and sixth grades (N = 536). Latent class growth analyses…
Descriptors: Fractions, Arithmetic, Error Patterns, Mathematics Instruction
Darius Endlich; Wolfgang Lenhard; Peter Marx; Tobias Richter – Journal of Learning Disabilities, 2024
Children with mathematical difficulties need to spend more time than typically achieving children on solving even simple equations. Since these tasks already require a larger share of their cognitive resources, additional demands imposed by the need to switch between tasks may lead to a greater decline of performance in children with mathematical…
Descriptors: Mathematics Instruction, Learning Problems, Arithmetic, Mathematics Achievement