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Sergio Tirado-Olivares; Rocio Minguez-Pardo; Javier del Olmo-Munoz; Jose A. Gonzalez-Calero – IEEE Transactions on Learning Technologies, 2025
Decimal misconceptions are a persistent challenge in mathematics education, often hindering students' long-term understanding. This study examines how learning analytics (LA) can be effectively integrated into instructional sequences to address these misconceptions, providing teachers with real-time insights for formative assessment. Despite the…
Descriptors: Learning Analytics, Elementary School Students, Elementary School Mathematics, Mathematics Education
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
de Koning, Björn B.; Boonen, Anton J. H.; Jongerling, Joran; van Wesel, Floryt; van der Schoot, Menno – Educational Studies in Mathematics, 2022
Drawing bar diagrams has been shown to improve performance on mathematical word problems wherein the relational keyword is consistent with the required arithmetic operation. This study extends this by testing the effectiveness of bar diagram drawing for word problems with an inconsistent keyword-arithmetic operation mapping. Seventy-five fifth…
Descriptors: Word Problems (Mathematics), Problem Solving, Visual Aids, Arithmetic
Csíkos, Csaba – Journal of Intelligence, 2022
The nature of the development of arithmetic performance has long been intensively studied, and available scientific evidence can be evaluated and synthesized in light of Nelson and Narens' model of metacognition. According to the Nelson-Narens model, human cognition can be split into two or more interrelated levels. Obviously, in the case of more…
Descriptors: Metacognition, Mathematics Skills, Arithmetic, Cognitive Development
Schifter, Deborah; Russell, Susan Jo – ZDM: Mathematics Education, 2022
This article addresses the nature of student-generated representations that support students' early algebraic reasoning in the realm of generalized arithmetic. We analyzed representations created by students for the following qualities: representations that distinguish the behavior of one operation from another, that support an explanation of a…
Descriptors: Mathematical Logic, Algebra, Arithmetic, Mathematics Skills
Björklund, Camilla; Ekdahl, Anna-Lena; Kullberg, Angelika; Reis, Maria – LUMAT: International Journal on Math, Science and Technology Education, 2022
In this paper we direct attention to 5-6-year-olds' learning of arithmetic skills through a thorough analysis of changes in the children's ways of encountering and experiencing numbers. The foundation for our approach is phenomenographic, in that our object of analysis is differences in children's ways of completing an arithmetic task, which are…
Descriptors: Preschool Children, Arithmetic, Skills, Learning Processes
Osana, Helena P.; Wagner, Vera; Navarrete-Ulloa, Jairo A. – School Science and Mathematics, 2023
The hundreds chart is a valuable tool for teachers in elementary mathematics classrooms. The present study investigated the effects of spatial configurations of virtual hundreds charts on children's knowledge of base-ten concepts. Kindergarten and first-grade students were assigned to three instructional conditions in which they worked with a…
Descriptors: Charts, Mathematics Instruction, Elementary School Mathematics, Kindergarten
Lu, Linxi; Vasilyeva, Marina; Laski, Elida V. – Developmental Psychology, 2023
Given the established role of parental talk in the growth of math knowledge in preschoolers, there has been an increasing focus on identifying ways to promote parental math talk at this stage of child development. The current study investigated how parental math talk is affected by features of play materials and contexts. The features were…
Descriptors: Play, Mathematics Instruction, Parent Child Relationship, Child Development
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
Chimoni, Maria; Pitta-Pantazi, Demetra; Christou, Constantinos – Educational Studies in Mathematics, 2023
Little is known about the cognitive effort associated with algebraic activity in the elementary and middle school grades. However, this investigation is significant for sensitizing teachers and researchers to the mental demands of algebra learning. In this paper, we focus on the relationship between algebraic thinking and domain-general cognitive…
Descriptors: Algebra, Mathematics Skills, Cognitive Processes, Cognitive Ability
Wong, Terry Tin-Yau; Kwan, Kam-Tai – Developmental Psychology, 2023
The relation to operands (RO) principles describe the relation between operands and answers in arithmetic problems (e.g., the sum is always larger than its positive addends). Despite being a fundamental property of arithmetic, its empirical relation with arithmetic/algebraic problem solving has seldom been investigated. The current longitudinal…
Descriptors: Mathematics Instruction, Arithmetic, Problem Solving, Algebra
Cheeseman, Jill; Downton, Ann; Ferguson, Sarah; Roche, Anne – Mathematics Education Research Journal, 2023
Children's multiplicative thinking as the recognition of equal group structures and the enumeration of the composite units was the subject of this research. In this paper, we provide an overview of the Multiplication and Division Investigations project. The results were obtained from a small sample of Australian children (n = 21) in their first…
Descriptors: Foreign Countries, Multiplication, Thinking Skills, Arithmetic
Tunahan Filiz; Gönül Günes – International Journal of Education and Literacy Studies, 2023
This study was undertaken to systematically analyze instructional interventions employed to enhance the mathematical performance of elementary school students with math learning difficulties (MLD). Over 20 years (2003-2023), 34 articles that met the inclusion criteria were included in the analysis. The articles in the study were analyzed in terms…
Descriptors: Intervention, Mathematics Instruction, Elementary School Students, Learning Problems
Wai Kei Chan; Li Zhang; Emily Pey-Tee Oon – International Journal of Assessment Tools in Education, 2023
We report the validity of a test instrument that assesses the arithmetic ability of primary students by (a) describing the theoretical model of arithmetic ability assessment using Wilson's (2004) four building blocks of constructing measures and (b) providing empirical evidence for the validation study. The instrument consists of 21…
Descriptors: Foreign Countries, Elementary School Students, Arithmetic, Grade 3
Emel Çilingir Altiner; Halil Önal – International Online Journal of Primary Education, 2023
This study aimed to examine the diagrammatic representation skills and problem-solving performances of students according to their problem-solving representations. A cross-sectional survey design using quantitative methods was used in this study. The sample consisted of 31 second-grade and 41 third-grade students from a public primary school in…
Descriptors: Problem Solving, Elementary School Students, Grade 2, Grade 3