Possibilities of using immersive learning based on abstract highly formalized mathematical models for training future mathematics teachers

Problem statement . Immersive technologies are becoming a hallmark of the modern educational process today by allowing users to immerse themselves in a virtual environment, create a sense of presence and engagement through high interactivity and realism of visual and audio effects. Dynamic models pr...

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Main Authors: Valentina A. Matveeva, Olga Yu. Zaslavskaya
Format: Article
Language:English
Published: Peoples’ Friendship University of Russia (RUDN University) 2024-12-01
Series:RUDN Journal of Informatization in Education
Subjects:
Online Access:https://journals.rudn.ru/informatization-education/article/viewFile/42732/24471
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author Valentina A. Matveeva
Olga Yu. Zaslavskaya
author_facet Valentina A. Matveeva
Olga Yu. Zaslavskaya
author_sort Valentina A. Matveeva
collection DOAJ
description Problem statement . Immersive technologies are becoming a hallmark of the modern educational process today by allowing users to immerse themselves in a virtual environment, create a sense of presence and engagement through high interactivity and realism of visual and audio effects. Dynamic models provide a mathematical description of system behavior over time in different domains. In the context of immersive learning based on abstract highly formalized mathematical models for preparing future mathematics teachers, dynamic models provide the basis for creating interactive and realistic virtual environments. Teaching mathematics is usually associated with abstract highly formalized mathematical models. “Observing” an abstract highly formalized mathematical model is a complex dynamic process that is consistent with its behavior in real-world processes, although these processes are not always possible to visualize. The purpose of this work is to describe the technology of ‘weak immersive learning’. Methodology . The study of the problem is considered using the example of the mathematics section “Number Theory”. The asymmetric RSA encryption system is chosen as the observed model. To bring the studied model closer to the real situation, the Maxima computer algebra system is used. Results . In the process of studying the mathematical model of the RSA cryptosystem and its implementation in the Maxima computer algebra system, students experience a ‘partial’ immersion in the environment being studied, since to observe the results it is necessary to know the mathematical model and a number of functions that can provide a certain result. However, the pedagogical process is accompanied by the following principles: immersion in context, interactivity, personalization, motivation, assessment, and accessibility. Conclusion . Thus, the technology under consideration can be called ‘weak immersive learning’, since visual effects and creation of a computer model require the direct participation of the student and theoretical knowledge of the subject.
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spelling doaj-art-d49b9fae0d6e455d9c18108bd2e501992025-02-06T09:06:32ZengPeoples’ Friendship University of Russia (RUDN University)RUDN Journal of Informatization in Education2312-86312312-864X2024-12-0121448850010.22363/2312-8631-2024-21-4-488-50021048Possibilities of using immersive learning based on abstract highly formalized mathematical models for training future mathematics teachersValentina A. Matveeva0https://orcid.org/0000-0002-8184-2028Olga Yu. Zaslavskaya1https://orcid.org/0000-0002-6119-8271Sakhalin State UniversityMoscow City UniversityProblem statement . Immersive technologies are becoming a hallmark of the modern educational process today by allowing users to immerse themselves in a virtual environment, create a sense of presence and engagement through high interactivity and realism of visual and audio effects. Dynamic models provide a mathematical description of system behavior over time in different domains. In the context of immersive learning based on abstract highly formalized mathematical models for preparing future mathematics teachers, dynamic models provide the basis for creating interactive and realistic virtual environments. Teaching mathematics is usually associated with abstract highly formalized mathematical models. “Observing” an abstract highly formalized mathematical model is a complex dynamic process that is consistent with its behavior in real-world processes, although these processes are not always possible to visualize. The purpose of this work is to describe the technology of ‘weak immersive learning’. Methodology . The study of the problem is considered using the example of the mathematics section “Number Theory”. The asymmetric RSA encryption system is chosen as the observed model. To bring the studied model closer to the real situation, the Maxima computer algebra system is used. Results . In the process of studying the mathematical model of the RSA cryptosystem and its implementation in the Maxima computer algebra system, students experience a ‘partial’ immersion in the environment being studied, since to observe the results it is necessary to know the mathematical model and a number of functions that can provide a certain result. However, the pedagogical process is accompanied by the following principles: immersion in context, interactivity, personalization, motivation, assessment, and accessibility. Conclusion . Thus, the technology under consideration can be called ‘weak immersive learning’, since visual effects and creation of a computer model require the direct participation of the student and theoretical knowledge of the subject.https://journals.rudn.ru/informatization-education/article/viewFile/42732/24471informatization of educationmathematical modelcomputer algebra systemweak immersive learning
spellingShingle Valentina A. Matveeva
Olga Yu. Zaslavskaya
Possibilities of using immersive learning based on abstract highly formalized mathematical models for training future mathematics teachers
RUDN Journal of Informatization in Education
informatization of education
mathematical model
computer algebra system
weak immersive learning
title Possibilities of using immersive learning based on abstract highly formalized mathematical models for training future mathematics teachers
title_full Possibilities of using immersive learning based on abstract highly formalized mathematical models for training future mathematics teachers
title_fullStr Possibilities of using immersive learning based on abstract highly formalized mathematical models for training future mathematics teachers
title_full_unstemmed Possibilities of using immersive learning based on abstract highly formalized mathematical models for training future mathematics teachers
title_short Possibilities of using immersive learning based on abstract highly formalized mathematical models for training future mathematics teachers
title_sort possibilities of using immersive learning based on abstract highly formalized mathematical models for training future mathematics teachers
topic informatization of education
mathematical model
computer algebra system
weak immersive learning
url https://journals.rudn.ru/informatization-education/article/viewFile/42732/24471
work_keys_str_mv AT valentinaamatveeva possibilitiesofusingimmersivelearningbasedonabstracthighlyformalizedmathematicalmodelsfortrainingfuturemathematicsteachers
AT olgayuzaslavskaya possibilitiesofusingimmersivelearningbasedonabstracthighlyformalizedmathematicalmodelsfortrainingfuturemathematicsteachers