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Kelsey J. MacKay; Filip Germeys; Wim Van Dooren; Lieven Verschaffel; Koen Luwel – Educational Studies in Mathematics, 2025
Rational numbers, such as fractions and decimals, are harder to understand than natural numbers. Moreover, individuals struggle with fractions more than with decimals. The present study sought to disentangle the extent to which two potential sources of difficulty affect secondary-school students' numerical magnitude understanding: number type…
Descriptors: Number Concepts, Numeracy, Secondary School Mathematics, Secondary School Students
Sri Rahayuningsih; Wan Marzuki Bin Wan Jaafar; Nurzatulshima Kamarudin; Muhammad Gazali – International Electronic Journal of Elementary Education, 2025
This study sought to understand how students activate number sense in determining the position of fractions on a number line and identify how the natural number bias and number sense influences students' thinking processes. The study utilized the Cognitive Task Analysis (CTA), involving four fifth-grade elementary students as the research…
Descriptors: Elementary School Students, Grade 5, Cognitive Processes, Mathematical Logic
Rosario Guzman-Jimenez; Dhavit Prem; Alvaro Saldívar; Eduardo Alejandro Escotto-Córdova – Frontline Learning Research, 2025
The concept of number emerges from the interaction of psychological, behavioral, and material elements of numerical cognition, collapsing the distinction between "abstract" and "concrete." This dual nature is evident in the Inca numerical system, where tools like the yupana integrate abstract numerical concepts with concrete…
Descriptors: Indigenous Knowledge, Arithmetic, Mathematics Skills, Spatial Ability
Christian G. K. Hahn; Henrik Saalbach; Clemens Brunner; Roland H. Grabner – Frontline Learning Research, 2025
Within the research on bilingual learning, first studies have revealed that content learned in one language is retrieved more slowly when participants have to switch language from instruction to testing (i.e., language-switching costs, LSC). These costs are attributed to language-dependent knowledge representations. However, the cognitive…
Descriptors: Code Switching (Language), Learning, Arithmetic, Mathematics Education
Giulia Cosentino; Jacqueline Anton; Kshitij Sharma; Mirko Gelsomini; Michail Giannakos; Dor Abrahamson – British Journal of Educational Technology, 2025
As AI increasingly enters classrooms, educational designers have begun investigating students' learning processes vis-à-vis simultaneous feedback from active sources--AI and the teacher. Nevertheless, there is a need to delve into a more comprehensive understanding of the orchestration of interactions between teachers and AI systems in educational…
Descriptors: Artificial Intelligence, Learning Processes, Instructional Design, Design

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