ERIC Number: EJ1250208
Record Type: Journal
Publication Date: 2020
Pages: 4
Abstractor: ERIC
ISBN: N/A
ISSN: ISSN-0228-0671
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Available Date: N/A
Cardinals versus Ordinals: Which Come First?
Jungic, Veselin; Yan, Xiaoheng
For the Learning of Mathematics, v40 n1 p38-41 2020
The aim of this article is to advise readers that natural numbers may be introduced as ordinal numbers or cardinal numbers and that there is an ongoing discussion about which come first. In addition, through several examples, the authors demonstrate that in the process of answering the question "How many?" one may, if convenient, use both ordinals and cardinals and seamlessly switch from one to the other. A substantial body of cognitive science studies on the relative order of acquisition of ordinal and cardinal concepts shows that cardinality precedes ordinality (e.g., Colomé & Noël, 2012; Wiese, 2003). In mathematics education research, more studies focused on cardinal knowledge in children than ordinal competence (e.g., Brannon & Van de Walle, 2001; Coles & Sinclair, 2017).
Descriptors: Number Concepts, Mathematics Instruction, Cognitive Processes, Numbers, Computation, Concept Formation
FLM Publishing Association. 382 Education South, University of Alberta, Edmonton, Alberta T6G 2G5, Canada. e-mail: flm2@ualberta.ca; Web site: https://flm-journal.org/
Publication Type: Journal Articles; Reports - Descriptive
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