Symmetric Polynomials in Solving Elementary Geometry Problems
| Authors | |
|---|---|
| Year of publication | 2023 |
| Type | Article in Proceedings |
| Conference | Mathematics, Information Technologies and Applied Sciences 2023 (post-conference proceedings of extended versions of selected papers) |
| MU Faculty or unit | |
| Citation | |
| Web | https://mitav.unob.cz/data/MITAV2023.pdf |
| Keywords | Algebraic equation; cubic function; symmetric polynomial; triangle; cuboid |
| Description | The article was created as the result of the research oriented at innovation of methods, content and forms of school teaching of mathematics in connection with improvement of university education of future teachers of mathematics. The article offers ideas for problem teaching in mathematics at secondary schools and universities. There is solved a problem how to calculate the dimensions of a triangle and a cuboid from the given general parametres (e.g. for a triangle there are given its circumference and area). While solving there are on one side used symmetric polynomials and the relations between roots and coefficients of an algebraic equation, on the other side the knowledge of the behavior of a cubic function. |