Diagnostic support of an intelligent tutor system for teaching skills to solve algebraic equations

Although all advantages of a standard approach to teaching students new skills, we are increasingly faced with problems such as the inability to pay an equal amount of attention to many students, to work through and unambiguously highlight all possible problems and mistakes, to close knowledge gaps....

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Main Authors: Anatoly Kulik, Andrey Chukhray, Michael Chernenko, Oleksandr Leshchenko
Format: Article
Language:English
Published: National Aerospace University «Kharkiv Aviation Institute» 2021-10-01
Series:Радіоелектронні і комп'ютерні системи
Subjects:
Online Access:http://nti.khai.edu/ojs/index.php/reks/article/view/1538
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author Anatoly Kulik
Andrey Chukhray
Michael Chernenko
Oleksandr Leshchenko
author_facet Anatoly Kulik
Andrey Chukhray
Michael Chernenko
Oleksandr Leshchenko
author_sort Anatoly Kulik
collection DOAJ
description Although all advantages of a standard approach to teaching students new skills, we are increasingly faced with problems such as the inability to pay an equal amount of attention to many students, to work through and unambiguously highlight all possible problems and mistakes, to close knowledge gaps. Also, all these difficulties are becoming even more urgent given the current state of affairs in the world and the global transition to an online learning format. As a possible solution to the problem, one can consider the creation of independent intelligent systems capable of taking on a part of the load of teachers and automatically participating in the process of teaching students. The subject of research in this article is the process of analyzing the steps for solving algebraic equations using the Lobachevsky-Graeffe-Dandelen method. The goal is to model the process of solving algebraic equations and to identify all possible steps, difficulties and problems in solving such problems. Objective: development of a system capable of monitoring the execution of all necessary steps for a given solution, identifying and classifying possible student mistakes in the process of mastering the skill and work them out. In the process of the task, the following results were obtained: one possible solution for learning to solve an n-degree algebraic equation using the Lobachevsky-Greffe-Dandelen method has been described. On the basis of the signal-parametric approach to diagnostics of faults in dynamic systems the mathematical diagnostic models are created which allow detecting classes of errors by comparing the results of Student's calculations and the results of system calculations. The features and possible difficulties of application of the proposed diagnostic models are presented. An intelligent self-contained tutor system was developed and integrated into the work at practical classes on "Theory of Automatic Control" by 3rd year students of the National Aerospace University.
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spelling doaj.art-34f453d7f7ab4aa4bb994a68ae40c8ec2023-09-02T10:46:53ZengNational Aerospace University «Kharkiv Aviation Institute»Радіоелектронні і комп'ютерні системи1814-42252663-20122021-10-010316016810.32620/reks.2021.3.131540Diagnostic support of an intelligent tutor system for teaching skills to solve algebraic equationsAnatoly Kulik0Andrey Chukhray1Michael Chernenko2Oleksandr Leshchenko3National Aerospace University "Kharkov Aviation Institute", KharkovNational Aerospace University «Kharkiv Aviation Institute», KharkivNational Aerospace University «Kharkiv Aviation Institute», KharkivNational Aerospace University «Kharkiv Aviation Institute», KharkivAlthough all advantages of a standard approach to teaching students new skills, we are increasingly faced with problems such as the inability to pay an equal amount of attention to many students, to work through and unambiguously highlight all possible problems and mistakes, to close knowledge gaps. Also, all these difficulties are becoming even more urgent given the current state of affairs in the world and the global transition to an online learning format. As a possible solution to the problem, one can consider the creation of independent intelligent systems capable of taking on a part of the load of teachers and automatically participating in the process of teaching students. The subject of research in this article is the process of analyzing the steps for solving algebraic equations using the Lobachevsky-Graeffe-Dandelen method. The goal is to model the process of solving algebraic equations and to identify all possible steps, difficulties and problems in solving such problems. Objective: development of a system capable of monitoring the execution of all necessary steps for a given solution, identifying and classifying possible student mistakes in the process of mastering the skill and work them out. In the process of the task, the following results were obtained: one possible solution for learning to solve an n-degree algebraic equation using the Lobachevsky-Greffe-Dandelen method has been described. On the basis of the signal-parametric approach to diagnostics of faults in dynamic systems the mathematical diagnostic models are created which allow detecting classes of errors by comparing the results of Student's calculations and the results of system calculations. The features and possible difficulties of application of the proposed diagnostic models are presented. An intelligent self-contained tutor system was developed and integrated into the work at practical classes on "Theory of Automatic Control" by 3rd year students of the National Aerospace University.http://nti.khai.edu/ojs/index.php/reks/article/view/1538intelligent tutor systemstudent mistakediagnostic model
spellingShingle Anatoly Kulik
Andrey Chukhray
Michael Chernenko
Oleksandr Leshchenko
Diagnostic support of an intelligent tutor system for teaching skills to solve algebraic equations
Радіоелектронні і комп'ютерні системи
intelligent tutor system
student mistake
diagnostic model
title Diagnostic support of an intelligent tutor system for teaching skills to solve algebraic equations
title_full Diagnostic support of an intelligent tutor system for teaching skills to solve algebraic equations
title_fullStr Diagnostic support of an intelligent tutor system for teaching skills to solve algebraic equations
title_full_unstemmed Diagnostic support of an intelligent tutor system for teaching skills to solve algebraic equations
title_short Diagnostic support of an intelligent tutor system for teaching skills to solve algebraic equations
title_sort diagnostic support of an intelligent tutor system for teaching skills to solve algebraic equations
topic intelligent tutor system
student mistake
diagnostic model
url http://nti.khai.edu/ojs/index.php/reks/article/view/1538
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AT andreychukhray diagnosticsupportofanintelligenttutorsystemforteachingskillstosolvealgebraicequations
AT michaelchernenko diagnosticsupportofanintelligenttutorsystemforteachingskillstosolvealgebraicequations
AT oleksandrleshchenko diagnosticsupportofanintelligenttutorsystemforteachingskillstosolvealgebraicequations