Tasks with parameters: a digitized approach

Technological and methodological aspects of using freeware software, such as GeoGebra, Wolfram|Alpha, Maxima, SageMath and GRAN1, for solving tasks with parameters, are presented in the article. Criteria were defined for selection of computer mathematics system (CMS) to solve tasks with parameters,...

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Vydané v:Osvìtnìj vimìr (Online) Ročník 11; s. 193 - 219
Hlavní autori: Horoshko, Yurii V., Pidhorna, Tetiana V., Samusenko, Petro F., Tsybko, Hanna Y., Tverdokhlib, Ihor A.
Médium: Journal Article
Jazyk:English
German
Vydavateľské údaje: Academy of Cognitive and Natural Sciences 15.12.2024
Predmet:
Computer Mathematics System
GeoGebra
Maxima
SageMath
tasks with parameters
Wolfram|Alpha
ISSN:2708-4604, 2708-4612
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Abstract Technological and methodological aspects of using freeware software, such as GeoGebra, Wolfram|Alpha, Maxima, SageMath and GRAN1, for solving tasks with parameters, are presented in the article. Criteria were defined for selection of computer mathematics system (CMS) to solve tasks with parameters, including plotting a graph of a function given in explicit and implicit forms, using a parameter in a function’s analytical definition, and automatically changing the graph of a function depending on the parameter value; ability to changing the parameter step change; plotting of a tangent and a normal to a curve at a point; ability to change the scale; determination of the coordinates of the intersection of graphs of functions; obtaining an analytical solution. In the article, some examples were presented for graphic and analytical tasks that used CMS parameters. GRAN1 and GeoGebra are recommended to use for plotting and analyzing of the graphs.
AbstractList Technological and methodological aspects of using freeware software, such as GeoGebra, Wolfram|Alpha, Maxima, SageMath and GRAN1, for solving tasks with parameters, are presented in the article. Criteria were defined for selection of computer mathematics system (CMS) to solve tasks with parameters, including plotting a graph of a function given in explicit and implicit forms, using a parameter in a function’s analytical definition, and automatically changing the graph of a function depending on the parameter value; ability to changing the parameter step change; plotting of a tangent and a normal to a curve at a point; ability to change the scale; determination of the coordinates of the intersection of graphs of functions; obtaining an analytical solution. In the article, some examples were presented for graphic and analytical tasks that used CMS parameters. GRAN1 and GeoGebra are recommended to use for plotting and analyzing of the graphs
Technological and methodological aspects of using freeware software, such as GeoGebra, Wolfram|Alpha, Maxima, SageMath and GRAN1, for solving tasks with parameters, are presented in the article. Criteria were defined for selection of computer mathematics system (CMS) to solve tasks with parameters, including plotting a graph of a function given in explicit and implicit forms, using a parameter in a function’s analytical definition, and automatically changing the graph of a function depending on the parameter value; ability to changing the parameter step change; plotting of a tangent and a normal to a curve at a point; ability to change the scale; determination of the coordinates of the intersection of graphs of functions; obtaining an analytical solution. In the article, some examples were presented for graphic and analytical tasks that used CMS parameters. GRAN1 and GeoGebra are recommended to use for plotting and analyzing of the graphs.
Author Horoshko, Yurii V.
Pidhorna, Tetiana V.
Samusenko, Petro F.
Tsybko, Hanna Y.
Tverdokhlib, Ihor A.
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GeoGebra
Maxima
SageMath
tasks with parameters
Wolfram|Alpha
Title Tasks with parameters: a digitized approach
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