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ERIC Number: EJ905992
Record Type: Journal
Publication Date: 2010
Pages: 6
Abstractor: As Provided
Reference Count: 6
ISBN: N/A
ISSN: ISSN-0020-739X
On Counting the Rational Numbers
Almada, Carlos
International Journal of Mathematical Education in Science and Technology, v41 n8 p1096-1101 2010
In this study, we show how to construct a function from the set N of natural numbers that explicitly counts the set Q[superscript +] of all positive rational numbers using a very intuitive approach. The function has the appeal of Cantor's function and it has the advantage that any high school student can understand the main idea at a glance without any prior knowledge of the Unique Prime Factorization Theorem or other nonelementary results. Unlike Cantor's function, the one we propose makes it very easy to determine what rational number, in unreduced form, is in a given position on the list and vice versa. (Contains 3 figures.)
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Publication Type: Journal Articles; Reports - Descriptive
Education Level: High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A