Spirály v matematice
| Title in English | Spirals in mathematics |
|---|---|
| Authors | |
| Year of publication | 2015 |
| Type | Article in Proceedings |
| Conference | Motivace nadaných žáků a studentů v matematice a přírodních vědách IV |
| MU Faculty or unit | |
| 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. |