SYMMETRIC POLYNOMIALS AS ENRICHMENT OF HIGH SCHOOL MATHEMATICS TEACHING.

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F75081431%3A_____%2F19%3A00001785" target="_blank" >RIV/75081431:_____/19:00001785 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
SYMMETRIC POLYNOMIALS AS ENRICHMENT OF HIGH SCHOOL MATHEMATICS TEACHING.
Original language description
This paper presents an example of solutions of elementary mathematical problems designed for high school students. The focus was on simple tasks of algebraic and geometrical kind, whose solving may lead to systems of nonlinear equations, in which variables are bound by special conditions. Symmetric polynomials are not a part of curriculum of high school mathematics, but students can already encounter Viete's formulas at this level in the connection with the study of quadratic equations. From Vieta's formulas there is only a small step to the definition of symmetric polynomials and the derivation of Newton's formulas. A wide variety of examples can be solved by Newton's formulas together with Vieta's formulas very easily and elegantly. New topics can bring the enrichment for high school mathematics mostly at schools with an extended teaching mathematics.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
doi: 10.21125/edulearn.2019.1554
ISBN
9788409120314
ISSN
2340-1117
e-ISSN
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Number of pages
4
Pages from-to
6502-6505
Publisher name
IATED-INT ASSOC TECHNOLOGY EDUCATION & DEVELOPMENT, LAURI VOLPI 6, VALENICA, BURJASSOT 46100, SPAIN
Place of publication
LAURI VOLPI 6, VALENICA, BURJASSOT 46100
Event location
Palma, SPAIN
Event date
Jan 7, 2019
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000553304901011

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