Motivace ve výuce matematiky – dva náměty z teorie čísel

Title in English Motivation in Teaching of Mathematics – Two Topics in Number Theory
Authors

BERÁNEK Jaroslav

Year of publication 2021
Type Article in Proceedings
Conference 14. mezinárodní vědecká konference Didaktická konference 2021
MU Faculty or unit

Faculty of Education

Citation
Web https://munispace.muni.cz/library/catalog/book/2133
Keywords Real numbers; continued fraction; Pythagorean triples.
Description The article was created as the result of the research oriented at innovation of the content and forms of primary and secondary school mathematics teaching. The article describes the possibility of rational and irrational numbers approximation with the help of continued fractions. Based on this approximation, there are derived approximate values of goniometric functions of some angles with the aid of fractions and consequently such formulation is used for the introduction of quasi-Pythagorean triples. Thus it is possible to construct a triangle which is not a rectangular one, but does not nearly differ from a rectangular one.

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