Motivace ve výuce matematiky – dva náměty z teorie čísel
Motivation in Teaching of Mathematics – Two Topics in Number Theory

Author(s): Jaroslav Beránek
Subject(s): Education, Methodology and research technology, Pedagogy
Published by: Masarykova univerzita nakladatelství
Keywords: real numbers; continued fraction; Pythagorean triples;
Summary/Abstract: 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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