About: How to teach mono-unary algebras and functional graphs with the use of computers in secondary schools

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About: How to teach mono-unary algebras and functional graphs with the use of computers in secondary schools Goto Sponge NotDistinct Permalink

An Entity of Type : http://linked.opendata.cz/ontology/domain/vavai/Vysledek, within Data Space : linked.opendata.cz associated with source document(s)

Attributes	Values
rdf:type	skos:Concept http://linked.opendata.cz/ontology/domain/vavai/Vysledek
rdfs:seeAlso	http://www.tandfonline.com/doi/abs/10.1080/0020739X.2013.877604?journalCode=tmes20#.VNoOj3mBeJA
Description	In this paper, alternative descriptions of functions are demonstrated with the use of a computer. If we understand functions 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 are usually surprised by the unexpected characteristics of such simple functions which cannot be revealed using the traditional Cartesian graphing. The next part of the paper deals with the 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 functional graphs of linear functions, it is necessary to use computers. Students can find space for their own individual exploration to reveal lines of interesting characteristics of quadratic functions, which give students a new view on this part of school mathematics. In this paper, alternative descriptions of functions are demonstrated with the use of a computer. If we understand functions 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 are usually surprised by the unexpected characteristics of such simple functions which cannot be revealed using the traditional Cartesian graphing. The next part of the paper deals with the 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 functional graphs of linear functions, it is necessary to use computers. Students can find space for their own individual exploration to reveal lines of interesting characteristics of quadratic functions, which give students a new view on this part of school mathematics. (en)
Title	How to teach mono-unary algebras and functional graphs with the use of computers in secondary schools How to teach mono-unary algebras and functional graphs with the use of computers in secondary schools (en)
skos:prefLabel	How to teach mono-unary algebras and functional graphs with the use of computers in secondary schools How to teach mono-unary algebras and functional graphs with the use of computers in secondary schools (en)
skos:notation	RIV/60076658:12410/14:43887628!RIV15-MSM-12410___
http://linked.open...avai/riv/aktivita	V
http://linked.open...avai/riv/aktivity	V
http://linked.open...iv/cisloPeriodika	5
http://linked.open...vai/riv/dodaniDat	2015
http://linked.open...aciTvurceVysledku	Binterová, Helena
http://linked.open.../riv/druhVysledku	J - Článek v odborném periodiku
http://linked.open...iv/duvernostUdaju	S - Úplné a pravdivé údaje nepodléhající ochraně podle zvláštních právních předpisů
http://linked.open...titaPredkladatele	Jihočeská univerzita v Českých Budějovicích / Pedagogická fakulta
http://linked.open...dnocenehoVysledku	19821
http://linked.open...ai/riv/idVysledku	RIV/60076658:12410/14:43887628
http://linked.open...riv/jazykVysledku	eng - angličtina
http://linked.open.../riv/klicovaSlova	mono-unary algebras, functional graphs, quadratic functions (en)
http://linked.open.../riv/klicoveSlovo	mono-unary algebras quadratic functions functional graphs
http://linked.open...odStatuVydavatele	GB - Spojené království Velké Británie a Severního Irska
http://linked.open...ontrolniKodProRIV	[C2FBD8D4D213]
http://linked.open...i/riv/nazevZdroje	International Journal of Mathematical Education in Science and Technology
http://linked.open...in/vavai/riv/obor	AM
http://linked.open...ichTvurcuVysledku	1 (xsd:int)
http://linked.open...cetTvurcuVysledku	2 (xsd:int)
http://linked.open...UplatneniVysledku	2014
http://linked.open...v/svazekPeriodika	45
http://linked.open...iv/tvurceVysledku	Binterová, Helena Fuchs, Eduard
issn	0020-739X
number of pages	13 (xsd:int)
http://bibframe.org/vocab/doi	10.1080/0020739X.2013.877604
http://localhost/t...ganizacniJednotka	12410

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