Learning a Novel Number System
The Role of Compositional Rules and Counting Procedures
Datos Bibliográficos
| ID | 7150280 |
|---|---|
| Autores | Sebastian Holt (Department of Psychology University of California, autor de correspondencia), David Barner (0009-0004-3439-3145, Department of Psychology University of California) |
| Año | 2025 |
| Volumen | 49 |
| Número | 6 |
| Páginas | e70071-e70071 |
| Fecha de publicación | 2025-06-01 |
| Peer Reviewed | Sí |
| Open Access | Sí |
| Tipo | ARTICLE |
| Revista | Cognitive Science (JOURNAL) |
| Identificadores de la revista | ISSN: 0364-0213 • E-ISSN: 1551-6709 |
| Editorial | Wiley (PUBLISHER • GB) |
| DOI | 10.1111/cogs.70071 |
| PMID | 40478610 |
| OpenAlex | W4411089504 |
| Idioma | EN |
| Referencias citadas | 71 |
Humans count to indefinitely large numbers by recycling words from a finite list, and combining them using rules—for example, combining sixty with unit labels to generate sixty‐one, sixty‐two, and so on. Past experimental research has focused on children learning base‐10 systems, and has reported that this rule learning process is highly protracted. This raises the possibility that rules are slow to emerge because they are not needed in order to represent smaller numbers (e.g., up to 20). Here, we investigated this possibility in adult learners by training them on a series of artificial number “languages” that manipulated the availability of rules, by varying the numerical base in each language. We found (1) that the size of a base—for example, base‐2 versus base‐5—had little effect on learning, (2) that learners struggled to acquire multiplicative rules while they learned additive rules more easily, (3) that memory for number words was greater when they were taught as part of a sequential count list, but (4) that learning numbers as part of a rote list may impair the ability to map them to magnitudes
Arithmetic · Cooperative learning · Knowledge base · Mathematics education · Multiplicative function · Natural language processing · Programming language · Rote learning · Teaching method · Cognitive and developmental aspects of mathematical skills · Computer Science · Mathematics · Mathematics Education and Teaching Techniques · Reading and Literacy Development · Artificial Intelligence
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| Velocidad de citación | historical |
|---|---|
| Altamente citado | No |