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Showing 1 to 15 of 42 results Save | Export
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Sebastian Holt; David Barner – Cognitive Science, 2025
Humans count to indefinitely large numbers by recycling words from a finite list, and combining them using rules--for example, combining sixty with unit labels to generate sixty-one, sixty-two, and so on. Past experimental research has focused on children learning base-10 systems, and has reported that this rule learning process is highly…
Descriptors: Computation, Numbers, Adult Students, Number Concepts
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Erik Tillema; Joseph Antonides – Investigations in Mathematics Learning, 2024
The multiplication principle (MP) is foundational for combinatorial problem-solving. From a units-coordination perspective, applying the MP with justification entails establishing unit relationships between the number of options at each independent stage of a counting process and the total number of combinatorial outcomes. Existing research…
Descriptors: Multiplication, Mathematical Logic, Mathematics Instruction, Problem Solving
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Smadar Sapir-Yogev; Gitit Kavé; Sarit Ashkenazi – Journal of Experimental Psychology: Learning, Memory, and Cognition, 2024
The solution and verification of single-digit multiplication problems vary in speed and accuracy. The current study examines whether the number of different digits in a problem accounts for this variance. In Experiment 1, 41 participants solved all 2-9 multiplication problems. In Experiment 2, 43 participants verified these problems. In Experiment…
Descriptors: Foreign Countries, Undergraduate Students, Mathematical Concepts, Multiplication
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Matthias Grünke; Isa Braunwarth; Vincent Connelly; Anne Barwasser – Education and Treatment of Children, 2025
This single-case study assessed the effectiveness of a mnemonic pegword strategy designed to enhance the multiplication fact fluency of three 6th-grade students who demonstrated persistent learning difficulties in mathematics. A nonconcurrent multiple baseline across subjects design was utilized, incorporating 3-5 baseline sessions followed by…
Descriptors: Mathematics Skills, Multiplication, Learning Problems, Mathematics Instruction
Kristen Tripet – Mathematics Education Research Group of Australasia, 2024
Despite substantial research exploring multiplicative thinking and students' difficulty in the domain, the topic of multi-digit multiplication is under-researched. In this paper, I share a learning trajectory for multi-digit multiplication that combined social and cognitive perspectives of learning. Using Design Research methods and involving 45…
Descriptors: Multiplication, Mathematics Instruction, Teaching Methods, Learning Trajectories
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Samuel B. Allan; Peter K. Dunn; Robert G. McDougall – International Journal of Mathematical Education in Science and Technology, 2024
In this note we demonstrate two instances where matrix multiplication can be easily verified. In the first setting, the matrix product appears as matrix element concatenation, and in the second, the product coincides with matrix addition. General proofs for some results are provided with a more complete description for 2×2 matrices. Suggested for…
Descriptors: Mathematics Instruction, Teaching Methods, Multiplication, Addition
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Jérôme Proulx – International Journal of Science and Mathematics Education, 2024
In their recent article on teachers' proportional reasoning, Copur-Gencturk et al. (2022) draw attention to a type of strategy that they call "relative", lodged right between additive and multiplicative thinking. This strategy raised interest in our research team, as it aligned well and helped give stronger meaning to some strategies…
Descriptors: Logical Thinking, Mathematics Skills, Addition, Multiplication
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Canan Günes; Kelly Paton; Nathalie Sinclair – Educational Studies in Mathematics, 2024
Research has highlighted the important role that the senses play in mathematics thinking and learning, particularly in the area of visualisation, but also in relation to physical movement. Recent scholarship suggests that sensory experiences are not limited to the five cardinal senses but involve a range of other specific senses as well as…
Descriptors: Multisensory Learning, Sensory Experience, Aesthetics, Mathematics Education
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Clelia Cascella; Chiara Giberti; Andrea Maffia – Research in Mathematics Education, 2024
We present an external close replication of the 1985 Fischbein et al. study about intuitive models of multiplication and division. We administered two batteries of mathematics items developed in the original study, via a spiralling process, to a quota sample of 903 students attending grade 7. Compared with the analytic strategy based on the count…
Descriptors: Replication (Evaluation), Research Methodology, Mathematics Education, Grade 7
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Rotem Abdu; Sofia Tancredi; Dor Abrahamson; Ramesh Balasubramaniam – Educational Studies in Mathematics, 2025
This paper combines recent developments in theories of knowledge (complex dynamic systems), technologies (embodied interactions), and research tools (multimodal data collection and analysis) to offer new insights into how conceptual mathematical understanding can emerge. A complex dynamic system view models mathematics learning in terms of a…
Descriptors: Mathematical Concepts, Mathematics Skills, Eye Movements, Coordination
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Fetiye Aydeniz Temizer – Journal of Mathematics Teacher Education, 2024
A 12-episode constructivist teaching experiment with two pairs of elementary preservice teachers was conducted to examine how they reason distributively and proportionally. Specifically, I studied how prospective teachers reason with ratios as multiplicative comparisons. Prospective teachers solved different problems in one specific context (Step…
Descriptors: Constructivism (Learning), Elementary School Teachers, Preservice Teachers, Mathematical Logic
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Ibrahim Burak Ölmez; Andrew Izsák – Journal of Mathematics Teacher Education, 2024
In prior work, we fit the mixture Rasch model to item responses from a fractions survey administered to a nationwide sample of middle grades mathematics teachers in the United States. The mixture Rasch model located teachers on a continuous, unidimensional scale and fit best with 3 latent classes. We used item response data to generate initial…
Descriptors: Fractions, Mathematics Teachers, Mathematical Logic, Arithmetic
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Drew Polly; Luke T. Reinke; Madelyn W. Colonnese; Adrianne Blackwelder – Journal of Educational Research, 2025
This study examined a 6-week intervention in which fourth grade students either played fluency games or used pictorial flashcards to develop fluency with their basic multiplication facts. Students who played fluency games showed more growth than the pictorial flashcards, but an analysis of variance showed that there was no statistically…
Descriptors: Intervention, Visual Aids, Educational Games, Multiplication
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Kathrin E. Maki; Mary Elizabeth Moody; Siera L. Cullins; Taylor L. Griffin – Journal of Behavioral Education, 2024
Incremental rehearsal (IR) has consistently been shown to improve students' math fact retention and fluency (Maki et al., Journal of Behavioral Education 30:534-558, 2021). However, less is known about how intervention modifications may support longer-term skill maintenance. The purpose of this study was to compare traditional IR with a modified…
Descriptors: Retention (Psychology), Mathematics Skills, Intervention, Multiplication
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Katherin Cartwright – Mathematics Education Research Journal, 2024
The exploration of children's drawings as mathematical representations is a current focus in early years mathematics education research. This paper presents a qualitative analysis of 72 kindergarten to Grade 3 (5 to 8 years old) children's drawings produced during problem-solving tasks centred on multiplicative strategies. Existing frameworks for…
Descriptors: Multiplication, Freehand Drawing, Mathematics Instruction, Kindergarten
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