Mastery of the logic of natural numbers is not the result of mastery of counting: evidence from late counters

To master the natural number system, children must understand both the concepts that number words capture and the counting procedure by which they are applied. These two types of knowledge develop in childhood, but their connection is poorly understood. Here we explore the relationship between the m...

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Main Authors: Jara-Ettinger, Jose Julian, Gibson, Edward A
Other Authors: Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences
Format: Article
Language:English
Published: Wiley 2020
Online Access:https://hdl.handle.net/1721.1/126643
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author Jara-Ettinger, Jose Julian
Gibson, Edward A
author2 Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences
author_facet Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences
Jara-Ettinger, Jose Julian
Gibson, Edward A
author_sort Jara-Ettinger, Jose Julian
collection MIT
description To master the natural number system, children must understand both the concepts that number words capture and the counting procedure by which they are applied. These two types of knowledge develop in childhood, but their connection is poorly understood. Here we explore the relationship between the mastery of counting and the mastery of exact numerical equality (one central aspect of natural number) in the Tsimane’, a farming-foraging group whose children master counting at a delayed age and with higher variability than do children in industrialized societies. By taking advantage of this variation, we can better understand how counting and exact equality relate to each other, while controlling for age and education. We find that the Tsimane’ come to understand exact equality at later and variable ages. This understanding correlates with their mastery of number words and counting, controlling for age and education. However, some children who have mastered counting lack an understanding of exact equality, and some children who have not mastered counting have achieved this understanding. These results suggest that understanding of counting and of natural number concepts are at least partially distinct achievements, and that both draw on inputs and resources whose distribution and availability differ across cultures.
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spelling mit-1721.1/1266432022-09-28T14:48:47Z Mastery of the logic of natural numbers is not the result of mastery of counting: evidence from late counters Jara-Ettinger, Jose Julian Gibson, Edward A Massachusetts Institute of Technology. Department of Brain and Cognitive Sciences To master the natural number system, children must understand both the concepts that number words capture and the counting procedure by which they are applied. These two types of knowledge develop in childhood, but their connection is poorly understood. Here we explore the relationship between the mastery of counting and the mastery of exact numerical equality (one central aspect of natural number) in the Tsimane’, a farming-foraging group whose children master counting at a delayed age and with higher variability than do children in industrialized societies. By taking advantage of this variation, we can better understand how counting and exact equality relate to each other, while controlling for age and education. We find that the Tsimane’ come to understand exact equality at later and variable ages. This understanding correlates with their mastery of number words and counting, controlling for age and education. However, some children who have mastered counting lack an understanding of exact equality, and some children who have not mastered counting have achieved this understanding. These results suggest that understanding of counting and of natural number concepts are at least partially distinct achievements, and that both draw on inputs and resources whose distribution and availability differ across cultures. National Science Foundation (U.S.). (Grant 1022684) 2020-08-18T15:40:12Z 2020-08-18T15:40:12Z 2017-11 2019-10-01T15:33:42Z Article http://purl.org/eprint/type/JournalArticle 2192-001X https://hdl.handle.net/1721.1/126643 Jara-Ettinger, Julian et al. “Mastery of the logic of natural numbers is not the result of mastery of counting: evidence from late counters.” Developmental science, vol. 20, no. 6, 2017 © 2017 The Author(s) en 10.1111/DESC.12459 Developmental science Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Wiley PMC
spellingShingle Jara-Ettinger, Jose Julian
Gibson, Edward A
Mastery of the logic of natural numbers is not the result of mastery of counting: evidence from late counters
title Mastery of the logic of natural numbers is not the result of mastery of counting: evidence from late counters
title_full Mastery of the logic of natural numbers is not the result of mastery of counting: evidence from late counters
title_fullStr Mastery of the logic of natural numbers is not the result of mastery of counting: evidence from late counters
title_full_unstemmed Mastery of the logic of natural numbers is not the result of mastery of counting: evidence from late counters
title_short Mastery of the logic of natural numbers is not the result of mastery of counting: evidence from late counters
title_sort mastery of the logic of natural numbers is not the result of mastery of counting evidence from late counters
url https://hdl.handle.net/1721.1/126643
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