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

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60076658%3A12410%2F14%3A43887628" target="_blank" >RIV/60076658:12410/14:43887628 - isvavai.cz</a>

Výsledek na webu

<a href="http://www.tandfonline.com/doi/abs/10.1080/0020739X.2013.877604?journalCode=tmes20#.VNoOj3mBeJA" target="_blank" >http://www.tandfonline.com/doi/abs/10.1080/0020739X.2013.877604?journalCode=tmes20#.VNoOj3mBeJA</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1080/0020739X.2013.877604" target="_blank" >10.1080/0020739X.2013.877604</a>

Jazyk výsledku

angličtina

Název v původním jazyce

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

Popis výsledku v původním jazyce

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 explo

Název v anglickém jazyce

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

Popis výsledku anglicky

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 explo

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

AM - Pedagogika a školství

OECD FORD obor

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Projekt

—

Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2014

Kód důvěrnosti údajů

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

Název periodika

International Journal of Mathematical Education in Science and Technology

ISSN

0020-739X

e-ISSN

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Svazek periodika

45

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

13

Strana od-do

742-754

Kód UT WoS článku

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EID výsledku v databázi Scopus

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