ERIC Number: EJ743593
Record Type: Journal
Publication Date: 2006
Pages: 7
Abstractor: ERIC
Reference Count: 14
ISBN: N/A
ISSN: ISSN-0045-0685
The Wording of a Proof: Hardy's Second "Elegant" Proof--The Pythagorean School's Irrationality of Square Root of 2
Padula, Janice
Australian Mathematics Teacher, v62 n2 p18-24 2006
One of the most interesting and important proofs in the history of mathematics is the Pythagorean school's proof of the "irrationality" of the square root of 2. After a brief look at G. H. Hardy (1941) thoughts regarding it, two versions of the classic Pythagorean proof are examined and discussed in this article, one written by an American professor (King, 1992) and the other by an Australian mathematician, author and lecturer (Arianrhod, 2003). A 16-year-old student of Vietnamese/Chinese background is asked to prioritise the versions--which version is easiest to understand? (Contains 1 figure.)
Descriptors: Mathematics Instruction, Mathematical Logic, Numbers, Mathematics Teachers, Mathematical Concepts, Student Reaction, Equations (Mathematics), History, High School Students, Algebra, Secondary School Mathematics
Australian Association of Mathematics Teachers (AAMT). GPO Box 1729, Adelaide, South Australia 5001. Tel: +61 8 8363 0288; Fax: +61 8 8362 9288; e-mail: office@aamt.edu.au; Web site: http://www.aamt.edu.au.
Publication Type: Journal Articles; Reports - Descriptive
Education Level: High Schools
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers: N/A

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