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Autor/inn/en | Simon, Martin A.; Della Volpe, Daniela; Velamur, Arundhati |
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Titel | Construction of the Cardinality Principle through Counting: Critique and Conjecture |
Quelle | In: Mathematical Thinking and Learning: An International Journal, 25 (2023) 4, S.465-480 (16 Seiten)Infoseite zur Zeitschrift
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 1098-6065 |
DOI | 10.1080/10986065.2021.2012737 |
Schlagwörter | Mathematics Instruction; Teaching Methods; Numbers; Number Concepts; Criticism; Learning Processes; Computation; Arithmetic; Lesson Plans; Multiplication; Barriers; Learning Trajectories |
Abstract | 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. (As Provided). |
Anmerkungen | 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 |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2024/1/01 |