ERIC Number: ED616269
Record Type: Non-Journal
Publication Date: 2021
Pages: 6
Abstractor: As Provided
ISBN: N/A
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Available Date: N/A
The Metaphor of Transition for Introducing Learners to New Sets of Numbers
Kontorovich, Igor'; Zazkis, Rina; Mason, John
Mathematics Education Research Group of Australasia, Paper presented at the Annual Meeting of the Mathematics Education Research Group of Australasia (MERGA) (43rd, Singapore, 2021)
Is the natural number 7 rational? Is it complex? We argue that the answers to these questions relate to the ways numbers are taught. Commonly, a new kind of numbers is presented as an expansion of a previously familiar kind of numbers, which results in a nested image of the relations between number sets. In this article, we introduce an alternative approach, in which one transitions between different numerical domains, some subsets of which are isomorphic.
Mathematics Education Research Group of Australasia. GPO Box 2747, Adelaide SA 5001, Australia. Tel: +61-8-8363-0288; Fax: +61-8-8362-9288; e-mail: sales@merga.net.au; Web site: http://www.merga.net.au/
Publication Type: Speeches/Meeting Papers; Reports - Evaluative
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: Mathematics Education Research Group of Australasia (MERGA)
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Author Affiliations: N/A