003. Факультет інформатики

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Browsing 003. Факультет інформатики by Author "Armash, Tetiana"

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    The case classification and their development for would-be mathematics teachers' training
    (2024) Achkan, Vitaliy ; Vlasenko, Kateryna; Lovianova, Iryna; Kaluhin, Ruslan; Armash, Tetiana
    The article looks into the issue of the case classification for the training of Mathematics teachers. The analysis, which was carried out, and the survey of 47 University teachers of methodical disciplines allowed to highlight the classification features of cases in the process of teaching methodical disciplines: the amount of time to complete, the way of presentation, the level of complexity and the breadth of the covered problem. Classifying cases by the amount of time for their implementation contributed to the separation of mini-cases, medium-term cases, and long-term cases. Classification by the method of presentation of cases in the process of studying methodical disciplines ensured their use in printed (handwritten) form, multimedia presentation of cases, and video cases. According to the level of complexity,the cases were divided into reproductive-training, partial-research, and creative-innovative cases. Thematic and integrated cases ensured the breadth of coverage of the problem during the teaching of methodical disciplines. The article presents general requirements for the selection and development of cases in the process of studying methodical disciplines. These requirements are based on the principles of accessibility, scientificity, contextuality, systematicity, methodological expediency, and practical orientation. The classification and specific requirements became the basis for the development of cases that can be used in the process of teaching methodological disciplines of would-be Mathematics teachers.
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    Interdisciplinary connections of Mathematics and Literature in the preparation for External Independent Assessment of Humanities students
    (2023) Vlasenko, Kateryna; Lovianova, Iryna; Achkan, Vitaliy; Armash, Tetiana; Chumak, Olena
    This article examines the issue of finding new methodological approaches to the development of problems that can contribute to the preparation of ‘Humanities’ students to pass the state final certification in the format of External independent assessment (EIA). The study analyzes the existing development of methods of qualitative mathematical training of students of humanities classes who study Mathematics according to the basic level program. In particular, the authors of the article were interested in the use of interdisciplinary connections between Mathematics and humanitarian disciplines. The authors of the article identified crosscurricular problems as a means of forming students’ motivation to study Mathematics, as well as a toolkit for measuring their level of readiness to solve typical problems of EIA. The researchers set a goal to develop cross-curricular problems following the EIA program based on the plot of Bulgakov’s novel ‘The Master and Margarita’. An experiment was conducted to confirm the effectiveness of the use of the system of interdisciplinary problems in the preparation for the EIA of humanitarian students. The obtained results confirmed that the implementation of problems in which the intersubject connections of Mathematics and Literature are realized has a more significant effect on both increasing the motivation of students to study Mathematics and their mathematical preparation.
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    The method of using the online course "Creative Thinking through Learning Elementary Maths" in the Mathematics teacher training system
    (2023) Achkan, Vitaliy; Vlasenko, Kateryna; Lovianova, Iryna; Sitak, Iryna; Armash, Tetiana
    The article offers the method of using the online "Creative Thinking through Learning Elementary Maths" and the results of checking the effectiveness of the implementation of this course in the mathematics teacher training system. The research substantiates the possibility of three methodological options for combining educational materials of the online course with the study of the educational discipline "Elementary Mathematics". The methodological options are chosen depending on the number of credits assigned to the study of the elementary mathematics course at the university. Practical tasks of the course were focused on the organization of students' activities (recognition, classi cation, solving and creation) with Rich tasks of three levels of complexity. The results of control tests in Elementary Mathematics give grounds for concluding about the effectiveness of the developed method.
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    The usage of stochastic matrices while learning the topic "eigenvalues and eigenvectors of a matrix" in the course of Higher Mathematic
    (2024) Vlasenko, Kateryna; Armash, Tetiana; Kostikov, Alexander; Lovianova, Iryna; Moiseienko, Mykhailo
    The article looks into teaching students mathematical modeling during the mastering of the topic \Eigenvalues and eigenvectors of a matrix" in the Linear Algebra. The modeling is based on the usage of matrices built based on Markov chains. The analysis of the researchers' papers shows that the usage of matrices of this type can be implemented while teaching students of different university specialties. The analysis of the prerequisites for the involvement of stochastic matrices in the consideration of students has helped to determine additional concepts and theorems that should be considered while learning \Eigenvalues and eigenvectors of a matrix". The theorem on the presence of stochastic vectors in a stochastic matrix can serve as a formula for systematizing problems that can present applications of eigenvalues and eigenvectors of the matrix in real-life situations. The results of the experiment conducted using the developed system of problems for students of different University specialties show the improvement of skills provided by mastering the topic \Eigenvalues and eigenvectors of a matrix".