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

Kód výsledku v IS VaVaI

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Nalezeny alternativní kódy

RIV/60076658:12510/12:43883677

Výsledek na webu

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DOI - Digital Object Identifier

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Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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

Název v anglickém jazyce

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

Popis výsledku anglicky

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

Druh

D - Stať ve sborníku

CEP obor

BA - Obecná matematika

OECD FORD obor

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Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2012

Kód důvěrnosti údajů

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

Název statě ve sborníku

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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Počet stran výsledku

11

Strana od-do

141-151

Název nakladatele

Mathematics and Technology, LLC

Místo vydání

Bangkok

Místo konání akce

Suan Sunandha Rajabhat University, Thailand

Datum konání akce

16. 12. 2012

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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