Motivace ve výuce matematiky – dva náměty z teorie čísel
| Title in English | Motivation in Teaching of Mathematics – Two Topics in Number Theory |
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| Authors | |
| Year of publication | 2021 |
| Type | Article in Proceedings |
| Conference | 14. mezinárodní vědecká konference Didaktická konference 2021 |
| MU Faculty or unit | |
| 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. |