Spirals in mathematics teaching
| Autoři | |
|---|---|
| Rok publikování | 2021 |
| Druh | Článek ve sborníku |
| Konference | Mathematics, Information Technologies and Applied Sciences 2021 (post-conference proceedings of extended versions of selected papers) |
| Fakulta / Pracoviště MU | |
| Citace | |
| www | https://mitav.unob.cz/data/Mitav2021.pdf |
| Klíčová slova | Length of curve; definite integral; spiral of Archimedes; logarithmic spiral; hyperbolic spiral; Fermat spiral |
| Popis | The article was created as the result of the research oriented at the innovation of the content and forms of teaching Mathematics at universities. The article contains a few topics for motivation in the Mathematics teaching which are closely related to the possibilities of students´ research approach. Firstly, there are described several examples of mathematical spirals including historical remarks, further there are given these spirals´ equations in polar coordinates and in parametric formulations as well. In the conclusion there are derived the formulas for their lengths with the help of the integral calculus. |