Spirals in mathematics teaching

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BERÁNEK Jaroslav

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

Pedagogická fakulta

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.

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