The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers

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During language processing, humans form complex embedded representations from sequential inputs. Here, we ask whether a “geometrical language” with recursive embedding also underlies the human ability to encode sequences of spatial locations. We introduce a novel paradigm in which subjects are expos...

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Autores principales:	Figueira, Santiago Daniel, Sigman, Mariano
Publicado:	2017
Materias:	adult analytical error comprehension DNA structure embedding exposure geometry human human experiment language rotation algorithm American Indian concept formation cultural anthropology education educational model male mathematical phenomena mathematics nomenclature physiology preschool child Adult Algorithms Child, Preschool Comprehension Concept Formation Culture Humans Indians, South American Language Male Mathematical Concepts Mathematics Models, Educational Terminology as Topic
Acceso en línea:	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1553734X_v13_n1_p_Amalric http://hdl.handle.net/20.500.12110/paper_1553734X_v13_n1_p_Amalric
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	paper:paper_1553734X_v13_n1_p_Amalric
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spelling	paper:paper_1553734X_v13_n1_p_Amalric2023-06-08T16:23:08Z The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers Figueira, Santiago Daniel Sigman, Mariano adult analytical error comprehension DNA structure embedding exposure geometry human human experiment language rotation algorithm American Indian comprehension concept formation cultural anthropology education educational model male mathematical phenomena mathematics nomenclature physiology preschool child Adult Algorithms Child, Preschool Comprehension Concept Formation Culture Humans Indians, South American Language Male Mathematical Concepts Mathematics Models, Educational Terminology as Topic During language processing, humans form complex embedded representations from sequential inputs. Here, we ask whether a “geometrical language” with recursive embedding also underlies the human ability to encode sequences of spatial locations. We introduce a novel paradigm in which subjects are exposed to a sequence of spatial locations on an octagon, and are asked to predict future locations. The sequences vary in complexity according to a well-defined language comprising elementary primitives and recursive rules. A detailed analysis of error patterns indicates that primitives of symmetry and rotation are spontaneously detected and used by adults, preschoolers, and adult members of an indigene group in the Amazon, the Munduruku, who have a restricted numerical and geometrical lexicon and limited access to schooling. Furthermore, subjects readily combine these geometrical primitives into hierarchically organized expressions. By evaluating a large set of such combinations, we obtained a first view of the language needed to account for the representation of visuospatial sequences in humans, and conclude that they encode visuospatial sequences by minimizing the complexity of the structured expressions that capture them. © 2017 Amalric et al. Fil:Figueira, S. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Sigman, M. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2017 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1553734X_v13_n1_p_Amalric http://hdl.handle.net/20.500.12110/paper_1553734X_v13_n1_p_Amalric
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	adult analytical error comprehension DNA structure embedding exposure geometry human human experiment language rotation algorithm American Indian comprehension concept formation cultural anthropology education educational model male mathematical phenomena mathematics nomenclature physiology preschool child Adult Algorithms Child, Preschool Comprehension Concept Formation Culture Humans Indians, South American Language Male Mathematical Concepts Mathematics Models, Educational Terminology as Topic
spellingShingle	adult analytical error comprehension DNA structure embedding exposure geometry human human experiment language rotation algorithm American Indian comprehension concept formation cultural anthropology education educational model male mathematical phenomena mathematics nomenclature physiology preschool child Adult Algorithms Child, Preschool Comprehension Concept Formation Culture Humans Indians, South American Language Male Mathematical Concepts Mathematics Models, Educational Terminology as Topic Figueira, Santiago Daniel Sigman, Mariano The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
topic_facet	adult analytical error comprehension DNA structure embedding exposure geometry human human experiment language rotation algorithm American Indian comprehension concept formation cultural anthropology education educational model male mathematical phenomena mathematics nomenclature physiology preschool child Adult Algorithms Child, Preschool Comprehension Concept Formation Culture Humans Indians, South American Language Male Mathematical Concepts Mathematics Models, Educational Terminology as Topic
description	During language processing, humans form complex embedded representations from sequential inputs. Here, we ask whether a “geometrical language” with recursive embedding also underlies the human ability to encode sequences of spatial locations. We introduce a novel paradigm in which subjects are exposed to a sequence of spatial locations on an octagon, and are asked to predict future locations. The sequences vary in complexity according to a well-defined language comprising elementary primitives and recursive rules. A detailed analysis of error patterns indicates that primitives of symmetry and rotation are spontaneously detected and used by adults, preschoolers, and adult members of an indigene group in the Amazon, the Munduruku, who have a restricted numerical and geometrical lexicon and limited access to schooling. Furthermore, subjects readily combine these geometrical primitives into hierarchically organized expressions. By evaluating a large set of such combinations, we obtained a first view of the language needed to account for the representation of visuospatial sequences in humans, and conclude that they encode visuospatial sequences by minimizing the complexity of the structured expressions that capture them. © 2017 Amalric et al.
author	Figueira, Santiago Daniel Sigman, Mariano
author_facet	Figueira, Santiago Daniel Sigman, Mariano
author_sort	Figueira, Santiago Daniel
title	The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
title_short	The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
title_full	The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
title_fullStr	The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
title_full_unstemmed	The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers
title_sort	language of geometry: fast comprehension of geometrical primitives and rules in human adults and preschoolers
publishDate	2017
url	https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_1553734X_v13_n1_p_Amalric http://hdl.handle.net/20.500.12110/paper_1553734X_v13_n1_p_Amalric
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The language of geometry: Fast comprehension of geometrical primitives and rules in human adults and preschoolers

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