Positivity of polynomial in the context of Czech education

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23420%2F20%3A43957880" target="_blank" >RIV/49777513:23420/20:43957880 - 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

Positivity of polynomial in the context of Czech education

Popis výsledku v původním jazyce

Decomposition of a polynomial as a Sum of squares of polynomials (SOS) is one of the classical methods how to prove that certain polynomial f is a positive semidefinite polynomial. At present, this is a technique that is not usually taught at Czech high schools or in (Computer) Algebra courses in the preparation of mathematics and/or computer science teachers at the faculties of education. In the case of polynomials of one variable, sum of squares decomposition could be a simple problem and this technique could be used by mathematical olympics solvers. The opposite case represents higher degree polynomials in multiple variables. Here we cannot solve the problem without computer technology and mathematical software. Thanks to this software, it is possible to look at the classical problems in an innovative way through the optics of computer technologies, and it is possible to solve problems which were almost impossible to solve in the past. Through the cognitive technologies, we can also bring near the more difficult parts of this issue and more abstract concepts to high school students and teachers at elementary and high schools.

Název v anglickém jazyce

Positivity of polynomial in the context of Czech education

Popis výsledku anglicky

Decomposition of a polynomial as a Sum of squares of polynomials (SOS) is one of the classical methods how to prove that certain polynomial f is a positive semidefinite polynomial. At present, this is a technique that is not usually taught at Czech high schools or in (Computer) Algebra courses in the preparation of mathematics and/or computer science teachers at the faculties of education. In the case of polynomials of one variable, sum of squares decomposition could be a simple problem and this technique could be used by mathematical olympics solvers. The opposite case represents higher degree polynomials in multiple variables. Here we cannot solve the problem without computer technology and mathematical software. Thanks to this software, it is possible to look at the classical problems in an innovative way through the optics of computer technologies, and it is possible to solve problems which were almost impossible to solve in the past. Through the cognitive technologies, we can also bring near the more difficult parts of this issue and more abstract concepts to high school students and teachers at elementary and high schools.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

50301 - Education, general; including training, pedagogy, didactics [and education systems]

Projekt

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Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název statě ve sborníku

19th conference on applied mathematics : Aplimat 2020 proceedings

ISBN

978-80-227-4983-1

ISSN

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e-ISSN

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Počet stran výsledku

11

Strana od-do

437-447

Název nakladatele

Slovak University of Technology

Místo vydání

Bratislava

Místo konání akce

Bratislava

Datum konání akce

4. 2. 2020

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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