Mono-unary algebras and functional graphs in upper secondary school mathematics

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12410%2F12%3A43883677" target="_blank" >RIV/60076658:12410/12:43883677 - isvavai.cz</a>
Alternative codes found
RIV/60076658:12510/12:43883677
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Mono-unary algebras and functional graphs in upper secondary school mathematics
Original language description
In the paper alternative descriptions of functions are demonstrated with the use of a computer. If we understand them as mono-unary algebraic functions or functional graphs, it is possible, even at the school level, to suitably present many of their characteristics. First, we describe cyclic graphs of constant and linear functions, which are a part of the upper-secondary level educational curriculum. Students don't expect to see the surprising characteristics of such simple functions which can not be revealed using traditional Cartesian graphing. The next part of the paper deals with characteristics of functional graphs of quadratic functions, which play an important role in school mathematics and in applications, for instance in the description of non-linear processes. We show that their description is much more complicated. In contrast to the case with functional graphs of linear functions, it is necessary to use computers. Students can find space for their own individual exploration
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
2012
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
17 th Asian Technology Conference in Mathematics Bangkok
ISBN
978-0-9821164-4-9
ISSN
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e-ISSN
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Number of pages
11
Pages from-to
141-151
Publisher name
Mathematics and Technology, LLC
Place of publication
Bangkok
Event location
Suan Sunandha Rajabhat University, Thailand
Event date
Dec 16, 2012
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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