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Autor/inn/en | Hart, Yuval; Mahadevan, L.; Dillon, Moira R. |
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Titel | Euclid's Random Walk: Developmental Changes in the Use of Simulation for Geometric Reasoning |
Quelle | In: Cognitive Science, 46 (2022) 1, (18 Seiten)
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 1551-6709 |
DOI | 10.1111/cogs.13070 |
Schlagwörter | Geometry; Cognitive Processes; Thinking Skills; Geometric Concepts; Intuition; Children; Preadolescents; Adults; Age Differences; Cognitive Style; Visual Aids; Simulation |
Abstract | Euclidean geometry has formed the foundation of architecture, science, and technology for millennia, yet the development of human's intuitive reasoning about Euclidean geometry is not well understood. The present study explores the cognitive processes and representations that support the development of humans' intuitive reasoning about Euclidean geometry. One-hundred-twenty-five 7- to 12-year-old children and 30 adults completed a localization task in which they visually extrapolated missing parts of fragmented planar triangles and a reasoning task in which they answered verbal questions about the general properties of planar triangles. While basic Euclidean principles guided even young children's visual extrapolations, only older children and adults reasoned about triangles in ways that were consistent with Euclidean geometry. Moreover, a relation between visual extrapolation and reasoning appeared only in older children and adults. Reasoning consistent with Euclidean geometry may thus emerge when children abandon incorrect, axiomatic-based reasoning strategies and come to reason using mental simulations of visual extrapolations. (As Provided). |
Anmerkungen | Wiley. Available from: John Wiley & Sons, Inc. 111 River Street, Hoboken, NJ 07030. Tel: 800-835-6770; e-mail: cs-journals@wiley.com; Web site: https://www.wiley.com/en-us |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2024/1/01 |