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http://dx.doi.org/10.7468/jksmee.2011.25.1.147

On Exploring the Properties of Pythagorean Triples Using Spreadsheets  

Son, Hong-Chan (Dept. of Math. Education, Chonbuk National University)
Publication Information
Communications of Mathematical Education / v.25, no.1, 2011 , pp. 147-166 More about this Journal
Abstract
In this paper, we listed and discussed the properties of the Pythagorean triples which 5 gifted 9th graders could draw in spreadsheets environments. And we also discussed their implications. In detail, in spreadsheets environments students could make the table of Pythagorean triples easily under several conditions of generate numbers of Pythagorean triples. And they could draw several properties of Pythagorean triples from the tables and could prove them. In spreadsheets environments it is easy to give students chances of generalization of the properties of Pythagorean triples which they had obtained from the concrete table of Pythagorean triples.
Keywords
spreadsheet; Pythagorean triples; conjecture; generallization;
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