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ERIC Number: EJ929287
Record Type: Journal
Publication Date: 2011-Jul
Pages: 9
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0020-739X
EISSN: N/A
Available Date: N/A
Riffs on the Infinite Ping-Pong Ball Conundrum
Mamolo, Ami; Bogart, Tristram
International Journal of Mathematical Education in Science and Technology, v42 n5 p615-623 2011
This article presents a novel re-conceptualisation to a well-known problem--The Ping-Pong Ball Conundrum. We introduce a variant of this super-task by considering it through the lens of "measuring infinity"--a conceptualisation of infinity that extrapolates measuring properties of numbers, rather than cardinal properties. This approach is consistent with a nonstandard analysis approach to infinite numbers, and gives credence to the intuitive (but otherwise normatively incorrect) resolution. We explore the mathematical motivation and consequences of this variant, as well as offer further "riffs" on the infinite ball problem for consideration.
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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