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Tools for creating certain types of high-school equations leading to quadratic equations. Part 2

Daniel Tyr

Učitel matematiky (2019)

  • Volume: 027, Issue: 2, page 111-123
  • ISSN: 1210-9037

Abstract

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This paper deals with the categorization of high school equations leading to quadratic equations. For the pre-selected type of equation, a tool (simple algorithm) is then derived, whose task is to assemble the equation of the desired type. The user of the given tool usually inputs the roots of the equation and requests that the obtained equation has rational, respectively, integer coefficients. The tools (algorithms) can be implemented in many CAS systems, but for the simplicity of these algorithms, free available GeoGebra is sufficient.

How to cite

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Tyr, Daniel. "Nástroje pro tvorbu daných typů středoškolských rovnic vedoucích na kvadratické rovnice. Část 2." Učitel matematiky 027.2 (2019): 111-123. <http://eudml.org/doc/296975>.

@article{Tyr2019,
abstract = {Tento text se zabývá konstrukcí nástrojů, jejichž použitím je možno získat dané typy rovnic, které nalezneme v učebnicích pro střední školy. Konkrétně se bude jednat o kvadratické rovnice a rovnice vedoucí na kvadratické rovnice. V tomto textu uvedeme některé „typické učebnicové příklady“, potom ke každému vybranému typu sestavíme nástroj, jehož implementaci zrealizujeme programem GeoGebra. Od vytvořeného nástroje budeme očekávat, že sestaví příklad, jehož „parametry“ si učitel předem zvolí.},
author = {Tyr, Daniel},
journal = {Učitel matematiky},
language = {cze},
number = {2},
pages = {111-123},
publisher = {Jednota českých matematiků a fyziků},
title = {Nástroje pro tvorbu daných typů středoškolských rovnic vedoucích na kvadratické rovnice. Část 2},
url = {http://eudml.org/doc/296975},
volume = {027},
year = {2019},
}

TY - JOUR
AU - Tyr, Daniel
TI - Nástroje pro tvorbu daných typů středoškolských rovnic vedoucích na kvadratické rovnice. Část 2
JO - Učitel matematiky
PY - 2019
PB - Jednota českých matematiků a fyziků
VL - 027
IS - 2
SP - 111
EP - 123
AB - Tento text se zabývá konstrukcí nástrojů, jejichž použitím je možno získat dané typy rovnic, které nalezneme v učebnicích pro střední školy. Konkrétně se bude jednat o kvadratické rovnice a rovnice vedoucí na kvadratické rovnice. V tomto textu uvedeme některé „typické učebnicové příklady“, potom ke každému vybranému typu sestavíme nástroj, jehož implementaci zrealizujeme programem GeoGebra. Od vytvořeného nástroje budeme očekávat, že sestaví příklad, jehož „parametry“ si učitel předem zvolí.
LA - cze
UR - http://eudml.org/doc/296975
ER -

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