Positivity of polynomial in the context of Czech education
The result's identifiers
Result code in 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>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Positivity of polynomial in the context of Czech education
Original language description
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.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
50301 - Education, general; including training, pedagogy, didactics [and education systems]
Result continuities
Project
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Continuities
V - Vyzkumna aktivita podporovana z jinych verejnych zdroju
Others
Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
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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Number of pages
11
Pages from-to
437-447
Publisher name
Slovak University of Technology
Place of publication
Bratislava
Event location
Bratislava
Event date
Feb 4, 2020
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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