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ERIC Number: EJ1401616
Record Type: Journal
Publication Date: 2023
Pages: 16
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-1098-6065
EISSN: EISSN-1532-7833
Available Date: N/A
Construction of the Cardinality Principle through Counting: Critique and Conjecture
Simon, Martin A.; Della Volpe, Daniela; Velamur, Arundhati
Mathematical Thinking and Learning: An International Journal, v25 n4 p465-480 2023
Development of the cardinality principle, an understanding that the last number-word recited in counting a collection of items specifies the number of items in that collection, is a critical milestone in developing a concept of number. Researchers in early number development have endeavored to theorize its development. Here we critique two widely respected hypotheses that explain cardinality-principle development as building on young learners' ability to subitize small numbers. These hypotheses consider subitizing to be the basis of cardinality-principle development. We argue that there is a qualitative and significant difference between subitizing and the cardinality principle and that the explanation provided are insufficient to account for a change of this magnitude. We then propose a conjecture intended to better explain this change. The conjecture describes counting as the medium for a series of reflective abstractions leading to the cardinality principle.
Routledge. Available from: Taylor & Francis, Ltd. 530 Walnut Street Suite 850, Philadelphia, PA 19106. Tel: 800-354-1420; Tel: 215-625-8900; Fax: 215-207-0050; Web site: http://www.tandf.co.uk/journals
Publication Type: Journal Articles; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Grant or Contract Numbers: N/A
Author Affiliations: N/A