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Demetra Pitta-Pantazi; Maria Chimoni; Constantinos Christou – International Journal of Science and Mathematics Education, 2025
This article reports on an empirical study that investigates the way students' performance in solving arithmetical tasks may be related to their performance in solving algebraic tasks. The sample consisted of 203 Grade 6 students. The arithmetical tasks involved arithmetical expressions with known quantities, whereas the algebraic tasks involved…
Descriptors: Thinking Skills, Arithmetic, Mathematics Instruction, Algebra
Karen Zwanch; Brooke Mullins – Educational Studies in Mathematics, 2025
To understand the ways that manipulatives might support changes in students' reasoning about algebraic generalizations, a constructivist teaching experiment was conducted with two sixth-grade students. The students interpreted numerical situations with units of one and could construct units of units in mental activity. Initially, the students'…
Descriptors: Mathematics Education, Mathematics Instruction, Teaching Methods, Algebra
Martín Díaz, Ana; Alario-Hoyos, Carlos; Estévez-Ayres, Iria; Delgado Kloos, Carlos; Fernández-Panadero, Carmen – Education and Information Technologies, 2023
ABN (Abierto Basado en Números--Open Calculation Based on Numbers) is a method for teaching basic arithmetic operations in primary education that has become popular in recent years and that is based on the decomposition of numbers through manipulative materials that encourage mental calculation. Currently there is limited number of tools that can…
Descriptors: Mathematics Instruction, Teaching Methods, Arithmetic, Elementary School Mathematics
Nur Aini Khoo Ahmad Fuad Khoo; Heng Wen Qi; Sharifah Osman – International Electronic Journal of Mathematics Education, 2025
Students are indeed weak when it comes to understanding fractions and decimals. In line with the national curriculum, whole numbers and fractions are taught first before students start to learn decimals. By the time the students approach decimals, they should have acquired sufficient knowledge of whole numbers but limited knowledge of fractions.…
Descriptors: Mathematics Instruction, Teaching Methods, Instructional Innovation, Teaching Models
Powell, Sarah R.; Akther, Syeda Sharjina; Yoon, Na Young; Berry, Katherine A.; Nemcek, Carmen; Fall, Anna-Maria; Roberts, Greg – Learning Disabilities Research & Practice, 2023
This study examined the influence of addition and subtraction practice embedded within a word-problem intervention for Grade 3 students experiencing word-problem difficulty. Students (N = 448) were randomly assigned to one of two variants of a word-problem intervention or a business-as-usual comparison condition. Within the word-problem…
Descriptors: Addition, Subtraction, Arithmetic, Grade 3
Pernille Bødtker Sunde; Bert De Smedt; Lieven Verschaffel; Peter Sunde – European Journal of Psychology of Education, 2024
Early detection of and relevant information on children's mathematical difficulties is important to initiate targeted teaching and intervention. This study investigated the extent to which strategy use in single-digit addition provides additional predictive information about 61 grade one children's (6-year-old) mathematical achievement 3 years…
Descriptors: Grade 1, Addition, Grade 4, Mathematics Achievement
Elfiky, Doaa Emam Ghobashy – International Journal of Instruction, 2022
Young children need to be taught using effective interventions. A good teaching method is one that will increase children's motivation to learn, keep them aware of their understanding and encourage them to reflect on what they learn, if this teaching is based on relevant and visible training. Otherwise, they may suffer from delays in mathematics.…
Descriptors: Teaching Methods, Brain, Number Concepts, Arithmetic
Berggren, Johannes – Scandinavian Journal of Educational Research, 2023
This study examines the presence of three conceptual metaphors for fractions -- The measuring stick metaphor, Arithmetic is motion along a path, and Arithmetic is object construction -- in four common and popular Swedish mathematics textbook series for years 1-3. I analyse the introduction of fractions and the kinds of tasks students are given in…
Descriptors: Mathematics Instruction, Elementary School Students, Arithmetic, Textbooks
Margaret M. Flores; Vanessa M. Hinton; Kelly B. Schweck – Learning Disability Quarterly, 2024
The purpose of this study was to investigate the effects of the concrete-representational-abstract--integrated (CRA-I) sequence on students with learning disabilities' performance when learning fraction and decimal concepts. Three elementary-level students in Grades 4 and 6 participated in a single-case multiple probe across behaviors study. The…
Descriptors: Elementary School Students, Grade 4, Grade 6, Students with Disabilities
Chanwit Heebkaew; Yannapat Seehamongkon – Journal of Education and Learning, 2024
The research aimed to achieve the following objectives: 1)Assess the effectiveness of cooperative learning management utilizing the STAD technique and KWDL technique among PrathomSuksa 6 students in solving decimal problems, with a target of achieving a 75/75 criterion, 2) Enhance the problem-solving abilities of grade 6 students in mathematics by…
Descriptors: Academic Ability, Mathematics Skills, Problem Solving, Mathematics Achievement
Cecilia Björkhammer; Joakim Samuelsson; Ulf Träff; Rickard Östergren – Scandinavian Journal of Educational Research, 2024
The intention of the study was to examine the effects of a fraction intervention in a whole-class environment. The intervention aimed to enhance students' conceptual fraction knowledge, with a major focus on fraction magnitude understanding. This study included 120 fifth-grade students in standard classroom settings. Utilizing a cluster randomized…
Descriptors: Mathematics Instruction, Intervention, Fractions, Knowledge Level
Marina Vasilyeva; Elida V. Laski; Beth Casey; Spyros Konstantopoulos; Linxi Lu; Jiwon Ban; Sophia Betar; Hyun Young Cho; Muanjing Wang – Grantee Submission, 2025
This study examined the effects of training involving spatial versus nonspatial representations of numerical magnitude for promoting arithmetic fluency. The key goal was to advance theoretical understanding of the relation between spatial and math learning, while simultaneously laying the groundwork for the development of future educational…
Descriptors: Elementary School Mathematics, Elementary School Students, Elementary School Teachers, Grade 1
Carrillo-Gallego, Dolores; Maurandi-López, Antonio; Olivares-Carrillo, Pilar – Paedagogica Historica: International Journal of the History of Education, 2023
The mechanisms of dissemination of the counting frames in the teaching of mathematics in Spain during the nineteenth century are studied. José Mariano Vallejo and Pablo Montesino proposed them in order to facilitate an arithmetic initiation based on intuition, following Pestalozzi's proposals. The diffusion channels considered were pedagogical…
Descriptors: Foreign Countries, Mathematics Instruction, Arithmetic, Computation
Corovic, Ellen – Australian Primary Mathematics Classroom, 2022
This article aims to outline the important role of the summary phase within a mathematics instructional model and provide six strategies to support teachers to move beyond "share time." By drawing upon good teaching strategies during the summary phase, teachers can enhance the learning experience for themselves and for their students.…
Descriptors: Mathematics Instruction, Teaching Methods, Visualization, Learning Experience
Xie, Shengying; Cai, Jinfa – ZDM: Mathematics Education, 2022
In this study we aimed to inquire into the impact of the use of early arithmetic strategies by a group of fifth-grade students, on their solving of equations involving two representations of unknowns. Pre- and post-tests consisting of equation-solving items involving two representations of unknowns (number sentences containing empty 'brackets', as…
Descriptors: Grade 5, Elementary School Students, Problem Solving, Teaching Methods