How children perceive fractals: Hierarchical self-similarity and cognitive development |
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| Authors: | Maurício Dias Martins Sabine Laaha Eva Maria Freiberger Soonja Choi W Tecumseh Fitch |
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| Institution: | 1. Department of Cognitive Biology, University of Vienna, Althanstrasse 14, A-1090 Vienna, Austria;2. Language Research Laboratory, Lisbon Faculty of Medicine, Av. Professor Egas Moniz, 1649-028 Lisboa, Portugal;3. Department of Linguistics, University of Vienna, Porzellangasse 4, A-1090 Vienna, Austria;4. Department of Linguistics & Asian/Middle Eastern Languages, San Diego State University, 5500 Campanile Drive, San Diego, CA 92182-7727, USA |
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| Abstract: | The ability to understand and generate hierarchical structures is a crucial component of human cognition, available in language, music, mathematics and problem solving. Recursion is a particularly useful mechanism for generating complex hierarchies by means of self-embedding rules. In the visual domain, fractals are recursive structures in which simple transformation rules generate hierarchies of infinite depth. Research on how children acquire these rules can provide valuable insight into the cognitive requirements and learning constraints of recursion. |
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| Keywords: | Recursion Iteration Hierarchy Language evolution Development Visuo-spatial |
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