Spirály v matematice

Title in English Spirals in mathematics
Authors

BERÁNEK Jaroslav

Year of publication 2015
Type Article in Proceedings
Conference Motivace nadaných žáků a studentů v matematice a přírodních vědách IV
MU Faculty or unit

Faculty of Education

Citation
Field Pedagogy and education
Keywords Length of curve; definite integral; spiral of Archimedes; logarithmic spiral; hyperbolic spiral; Fermat spiral
Description The article was created as the result of the research oriented at innovation of methods, content and forms of elementary school teaching of mathematics in connection with improvement of university education of future teachers of mathematics. 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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