SYMMETRIC POLYNOMIALS AS ENRICHMENT OF HIGH SCHOOL MATHEMATICS TEACHING.

Kód výsledku v 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>

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

SYMMETRIC POLYNOMIALS AS ENRICHMENT OF HIGH SCHOOL MATHEMATICS TEACHING.

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

SYMMETRIC POLYNOMIALS AS ENRICHMENT OF HIGH SCHOOL MATHEMATICS TEACHING.

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10100 - Mathematics

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2019

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

doi: 10.21125/edulearn.2019.1554

ISBN

9788409120314

ISSN

2340-1117

e-ISSN

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Počet stran výsledku

4

Strana od-do

6502-6505

Název nakladatele

IATED-INT ASSOC TECHNOLOGY EDUCATION & DEVELOPMENT, LAURI VOLPI 6, VALENICA, BURJASSOT 46100, SPAIN

Místo vydání

LAURI VOLPI 6, VALENICA, BURJASSOT 46100

Místo konání akce

Palma, SPAIN

Datum konání akce

7. 1. 2019

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

000553304901011