| BERÁNEK, Jaroslav. Symmetric Polynomials in Solving Elementary Geometry Problems. Online. In Michal Novák, Miroslav Hrubý. Mathematics, Information Technologies and Applied Sciences 2023 (post-conference proceedings of extended versions of selected papers). Brno: Univerzita obrany, Brno, 2023, s. 15-24. ISBN 978-80-7582-290-1. |
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@inproceedings{2349698,
author = {Beránek, Jaroslav},
address = {Brno},
booktitle = {Mathematics, Information Technologies and Applied Sciences 2023 (post-conference proceedings of extended versions of selected papers)},
editor = {Michal Novák, Miroslav Hrubý},
keywords = {Algebraic equation; cubic function; symmetric polynomial; triangle; cuboid},
howpublished = {elektronická verze "online"},
language = {eng},
location = {Brno},
isbn = {978-80-7582-290-1},
pages = {15-24},
publisher = {Univerzita obrany, Brno},
title = {Symmetric Polynomials in Solving Elementary Geometry Problems},
url = {https://mitav.unob.cz/data/MITAV2023.pdf},
year = {2023}
}
TY - JOUR
ID - 2349698
AU - Beránek, Jaroslav
PY - 2023
TI - Symmetric Polynomials in Solving Elementary Geometry Problems
PB - Univerzita obrany, Brno
CY - Brno
SN - 9788075822901
KW - Algebraic equation
KW - cubic function
KW - symmetric polynomial
KW - triangle
KW - cuboid
UR - https://mitav.unob.cz/data/MITAV2023.pdf
N2 - 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.
ER -
BERÁNEK, Jaroslav. Symmetric Polynomials in Solving Elementary Geometry Problems. Online. In Michal Novák, Miroslav Hrubý. \textit{Mathematics, Information Technologies and Applied Sciences 2023 (post-conference proceedings of extended versions of selected papers)}. Brno: Univerzita obrany, Brno, 2023, s.~15-24. ISBN~978-80-7582-290-1.
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