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Exploring Spherical Units as Perceptual Clues in Enumerating 3D Arrays

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Title: Exploring Spherical Units as Perceptual Clues in Enumerating 3D Arrays
Language: English
Authors: Edgar Alstad (ORCID 0000-0001-7768-586X), Maren Berre, Per Nilsson
Source: Mathematics Education Research Journal. 2024 36(3):671-693.
Availability: Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
Peer Reviewed: Y
Page Count: 23
Publication Date: 2024
Document Type: Journal Articles
Reports - Research
Education Level: Elementary Education
Early Childhood Education
Grade 3
Primary Education
Descriptors: Foreign Countries, Elementary School Students, Elementary School Teachers, Elementary School Mathematics, Grade 3, Cognitive Processes, Visual Aids, Dimensional Preference, Visual Stimuli, Mathematical Concepts, Spatial Ability, Mathematics Instruction
Geographic Terms: Norway
DOI: 10.1007/s13394-023-00466-w
ISSN: 1033-2170
2211-050X
Abstract: This study continues an investigation of how spherical units, compared to cubical units, can facilitate students' units-locating and organizing units in composites. We analyze how Norwegian grade 3 students enumerate 3D arrays with cubical and spherical units. Our results show how spherical units can act as perceptual clues that facilitate cognitive processes, underlying students' strategies in the enumeration of 3D arrays. In particular, the results show how spherical units facilitate the units-locating process, which, in turn, supports processes of organizing-by-composites and spatial structuring of the array, in the action of developing a proper iterative strategy such as layer-based thinking.
Abstractor: As Provided
Entry Date: 2024
Accession Number: EJ1441431
Database: ERIC
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  Data: <searchLink fieldCode="SO" term="%22Mathematics+Education+Research+Journal%22"><i>Mathematics Education Research Journal</i></searchLink>. 2024 36(3):671-693.
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  Data: Springer. Available from: Springer Nature. One New York Plaza, Suite 4600, New York, NY 10004. Tel: 800-777-4643; Tel: 212-460-1500; Fax: 212-460-1700; e-mail: customerservice@springernature.com; Web site: https://link.springer.com/
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  Data: 10.1007/s13394-023-00466-w
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  Data: This study continues an investigation of how spherical units, compared to cubical units, can facilitate students' units-locating and organizing units in composites. We analyze how Norwegian grade 3 students enumerate 3D arrays with cubical and spherical units. Our results show how spherical units can act as perceptual clues that facilitate cognitive processes, underlying students' strategies in the enumeration of 3D arrays. In particular, the results show how spherical units facilitate the units-locating process, which, in turn, supports processes of organizing-by-composites and spatial structuring of the array, in the action of developing a proper iterative strategy such as layer-based thinking.
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      – TitleFull: Exploring Spherical Units as Perceptual Clues in Enumerating 3D Arrays
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