
Defense of the dissertation of Zhilmagambetova Raushan for the degree of Doctor of Philosophy (PhD) in the educational program «8D01511 - Computer Science»
L.N. Gumilyov Eurasian National University, a dissertation defense for the degree of Doctor of Philosophy (PhD) by Zhilmagambetova Raushan on the topic «Scientific and methodological and software support for personalized adaptive learning in mathematics» in the educational program «8D01511 - Computer Science».
The dissertation was carried out at the Department of «Computer science» of L.N. Gumilyov Eurasian National University.
The language of defense is kazakh
Official reviewers:
Madiyarov Nurlybay Kokeshovich - candidate of Pedagogical Sciences, Associate Professor, Dean of the Higher School of the South Kazakhstan University named after M. Auezov (Shymkent, Republic of Kazakhstan);
Kosybayeva Umitzhan Amankeldykyzy - candidate of Pedagogical Sciences, Associate Professor, Professor of the Department "Methods of teaching mathematics and computer science" of Karaganda University named after academician E. A. Buketov (Karaganda, Republic of Kazakhstan).
Temporary members of the Dissertation Council:
Rustam Shadiev - Doctor of Philosophy (PhD), Professor, Zhejiang University, Professor at the Pedagogical College (Hangzhou, China);
Mukasheva Manargul - Candidate of Pedagogical Sciences, Professor, Leading Researcher at the Center for the Development of Digitalization of Education of the I. Altynsarin National Academy of Education (Astana, Republic of Kazakhstan);
Asainova Almagul Zhayakovna - candidate of Pedagogical Sciences, Associate Professor, Professor of "Pavlodar Pedagogical University named after A. Margulan" (Pavlodar, Republic of Kazakhstan).
Scientific advisors:
Mubarakov Akhan - Doctor of Pedagogical Sciences, Professor of the Department of «Computer Science» of the L.N. Gumilyov Eurasian National University (Astana, Republic of Kazakhstan);
Erkan Çalışkan - Ph.D. Assoc. Prof. Faculty of Engineering, Department of Computer Engineering Niğde Ömer Halisdemir University (Niğde ,Türkiye).
The defense will take place on February 21, 2025, at 10:00 AM in the Dissertation Council for the training direction «8D015 - Teacher training in natural science subjects» in the educational program «8D01511 - Computer Science» of L.N. Gumilyov Eurasian National University. Conducting a meeting of the dissertation council in a mixed (offline and online) format.
Link: http://surl.li/rwcdsx
Address: Astana, K. Satpayev str. 2, №302.
Abstract (English): Relevance of the study. The education system plays a very important role in improving the quality of life of the nation. Our time sets the task to improve the quality of training and education of future specialists, to ensure their strong mastery of the basics of science, to ensure a high scientific level of teaching each subject. President K.K. Tokayev in his address to the people of Kazakhstan “Economic Orientation of Fair Kazakhstan” emphasized the need to strive for advanced education and mastering new technologies, including adaptive learning with the help of artificial intelligence, in order to become a developed country. In addition, the goal is to provide everyone with free access to high-speed Internet and digital educational resources so that the education system can adapt to the needs of the labor market. The education system of Kazakhstan seeks to change the old format of education to a personalized approach. The Law of the Republic of Kazakhstan “On Education” is also justified by such tasks of the education system as “Creating the necessary conditions for obtaining quality education aimed at the formation, development and professional training of the individual on the basis of national and common civil values, scientific and practical achievements, new technologies of education, including the effective use of modular-credit, distance learning and distance learning, information and communication technologies, contributing to the rapid and effective development of the education system of the Republic of Kazakhstan”. The traditional model of education is gradually ceasing to work, as the needs of the digital society are changing and are under the active influence of the external environment. Such issues as the development of digital educational environment in educational institutions, modeling digital competencies of students, creating a personal trajectory of learning in the digital environment, as well as the development of information technologies, models and algorithms that allow for adaptation are relevant. Paragraph 9 of Article - 11 of the Law of RK “On Education” promotes the introduction and effective use of new educational technologies, including credit, distance learning, information and communication technologies that facilitate rapid adaptation of vocational education programs to the changing needs of society and the labor market. For example, technologies such as artificial intelligence and machine learning should be used to customize and pre-plan each student's learning path. The purpose of this training is to develop critical thinking of learners in New Kazakhstan, learning to make connections and solve competency problems. In educational organizations, important requirements of the educational process are the use of new methods of teaching mathematics, teaching in accordance with modern requirements and elimination of difficulties in learning and the use of new technologies. That is, quality teaching of mathematics requires a new approach to education. The methodology of teaching mathematics using information and communication technologies (ICT) in technical and vocational schools is one of the actual problems of modern didactics. After all, colleges have their own peculiarities of teaching not only mathematics, but also other subjects. First of all, in colleges students learn in small groups. This means that the teacher has the opportunity to work with each student. Teaching mathematics using information and communication technologies has attracted the attention of Nurgozhaev Sh. B. His dissertation “Didactic conditions of using information and communication technologies in teaching mathematics in college” is devoted to this topic. In his dissertation the Author attaches great importance to the personalization of students. I believe that the introduction of information technologies contributes to the development of learners' critical thinking and self-management skills. Another researcher Fedorova O. N. drew her main attention to the peculiarities of teaching mathematics in college. In her opinion “ ... the level of mathematics skills of a college student is one of the most important factors influencing his/her future life”. It is hard to disagree with this statement, since math skills form the basis of logical thinking and solving complex problems. In addition, a good knowledge of mathematics offers students a wide range of opportunities in various professional fields. Especially Malibekova M.S. in her scientific work “Pedagogical bases of using new information technologies in connection with the disciplines of mathematics and informatics” she believes that “an effective means of teaching mathematics through the Internet is testing, participation in competitions and Olympiads, independent work with electronic textbooks and selection. material necessary for research work”. Every teacher of mathematics and computer science achieves his/her pedagogical goal through complex thinking operations. Therefore, the primary task of a mathematics teacher is to develop students' creative abilities. It is not by chance that Z.M. Sadvakasova is interested in cognitive learning style. Undoubtedly, the author was in favor of taking into account this important style in the educational process. “Each teacher realizing a unified pedagogical process should not only take into account the rules and principles of didactics, but also take into account the cognitive style, on which the performance, development and personal growth of the student depend”, - she notes. This approach helps create a more effective learning environment that maximizes the potential of each student. The development of informatization of education began with the informatization of teaching subjects, in particular the integration of informatics and mathematics, which was promoted by famous mathematicians Ershov A. P., Kurmanalina Sh. K. The work of the authors laid the foundation for a deeper understanding of the relationship between these disciplines. Thanks to the contribution of the authors, the teaching of mathematics has become technology-enabled and accessible to modern learners. Currently, such scientists as G. K. Nurgalieva, D. M. Dzhusubalieva, R. Ch. Bekturganova, A. K. Bekbolganova, and J. T. Zhiyembaev are developing methods of education informatization and conducting research related to the digitalization of education. Their promising directions in the context of digital transformation of education are adaptive learning. These studies will help to develop personalized learning programs that meet the needs of each student. This approach makes the learning process more effective and efficient. Highlighting global trends through personalized adaptive learning will create a flexible education system that meets the challenges of the modern world, taking into account the individual characteristics of learners and applying advanced learning methods. It also promotes the development of learners as unique individuals by matching learning pace, interests and abilities. That is, the synergy of global trends and personalized adaptive learning not only improves the learning process, but also contributes to the creation of an education system that can effectively interact with new technologies and pedagogical methods, thereby supporting the continuous improvement of education. An approach that combines trend analysis and personalized adaptive learning also supports students' readiness for the rapidly changing demands of the future by fostering independence, creative thinking and communication skills. This flexible education system contributes to the preparation of graduates who are able to successfully adapt to different areas of life and employment in a dynamic socio-economic environment. The introduction of personalized adaptive learning methods in the context of global trends contributes to the creation of an educational environment that meets the requirements of modern society. Personalized adaptive learning will not only improve the quality of education, but also prepare a new generation that can successfully adapt to the challenges of the future. In most cases, personalized adaptive learning is limited by technical, financial and pedagogical constraints, making it difficult to fully implement. In this regard, the impracticability due to the complexity of creating scientific, methodological and software to organize personalized adaptive learning causes contradictions in the research work. Differentiating the above, the topic of the thesis work was chosen as “Scientific, methodological and software support for personalized adaptive learning of mathematics”. Purpose of the research: creation of scientific, methodological and software for personalized adaptive learning of mathematics, contributing to the improvement of learning efficiency, achieving high educational results. Objectives of the study: - Analysis of scientific, educational and methodological works and software environments on personalized adaptive learning; - identification of psychological and pedagogical factors influencing the organization of the learning process in educational organizations; - development of the model of creation and implementation of scientific-methodological and software support of personalized adaptive learning of mathematics; - definition of algorithms of scientific-methodological bases of personalized adaptive teaching of mathematics; - creation of software for personalized adaptive mathematics teaching; -conducting experimental work on the use of scientific-methodological and software for personalized adaptive mathematics education. Object of the study: the learning process in technical and vocational education organizations. Subject of the study: development of scientific, methodological and software support for personalized adaptive learning of mathematics in organizations of technical and vocational education. Scientific prediction of the study: if scientific, methodological and software for personalized adaptive learning of mathematics were developed and applied in educational organizations, the quality of students' knowledge in mathematics would increase, because the methods of personalized adaptive learning take into account the special needs and abilities of each student, allow personalizing the learning process, promote the active participation of students in the learning process and contribute to increasing motivation for learning. The leading idea of the study: to identify and implement the basis for the application of scientific, methodological and software of personalized adaptive learning in mathematics lessons, to promote interest and quality of teaching in the subject. Methodological and theoretical foundations of the study: scientific works on the methodology of teaching mathematics with the use of information and communication technologies, methodological basis for the creation of personalized educational environment, forms of personalized adaptive learning, ways and methods of personalization of education, technologies of personalized adaptive learning, statistical methods. Research sources: State Mandatory Standard of Technical and Vocational Education by the Minister of Education and Science of the Republic of Kazakhstan, Law on Approval of Minimum Requirements for Informatization Facilities in the Field of Education, Informatization Program for Educational Institutions of Primary and Secondary Vocational Education in the Republic of Kazakhstan, the Law on Approval of Standard Curricula for Post-Secondary Education Organizations, creation of a Working Group to Develop a Draft State Program for Education and Science Development in the Republic of Kazakhstan (2020-2025), content of Textbooks and Scientific Works on Pedagogy and Educational Technologies. Research Methods: 1. Analysis of theoretical and scientific literature and existing approaches related to adaptive learning. This allows to generalize and systematize the theoretical basis for the development of adaptive learning technologies. This method serves as a basis for the formation of the concept of personalized learning in mathematics. 2. Empirical - includes the collection and analysis of data through observations, experiments and surveys. This method is aimed at practical testing of theoretical assumptions, determining the effectiveness of adaptive approaches and studying their impact on learning outcomes. The empirical method makes it possible to assess the real achievements of students and adjust teaching methods on the basis of the data obtained. 3. Statistical-includes the use of quantitative methods to analyze and interpret data. It is used to identify patterns, test hypotheses and assess the significance of the results obtained in the process of experiments and observations. This method makes it possible to objectively assess the effectiveness of adaptive learning technologies and their impact on academic performance. Scientific novelty and theoretical significance of the study: 1. The problem of personalized adaptive learning of mathematics is revealed on the basis of the analysis of scientific, educational, methodological and programmatic bases of personalized adaptive learning in educational organizations and identification of psychological and pedagogical factors influencing the organization of the learning process. 2. The model of creation and implementation of scientific, methodological and software support of personalized adaptive learning of mathematics, including target, content, result blocks, is developed. 3. 3. algorithms of scientific and methodological foundations of personalized adaptive teaching of mathematics are defined. 4. Software for personalized adaptive learning of mathematics is created and implemented. 5. Positive results of experimental work on the use of scientific-methodological and software for personalized adaptive teaching of mathematics have been obtained. Practical significance of the study: - organized brainstorming for teachers on the use of personalized adaptive learning technology; - methodological manual “methodological guidelines for the use of personalized adaptive learning technology” was published; - developed and implemented in the educational process training manual on practical works for adapted to the level of education of students; - personalized adaptive learning environment “APLE®” was developed and implemented in the learning process. Accuracy and validity of the research results: The use of scientific-methodological and software for personalized adaptive teaching of mathematics is based on a comprehensive study of scientific aspects, strict adherence to principles, validity of theoretical and practical character. It is also provided by the positive results of experimental work and integration of the obtained results into the teaching process. Provisions to be defended: 1. The problem of personalized adaptive learning in mathematics has been identified based on the analysis of scientific, educational, methodological and programmatic foundations of personalized adaptive learning in educational organizations and the identification of psychological and pedagogical factors affecting the organization of the educational process: 1.1) an increase in the need for personalized adaptive learning in mathematics; 1.2) the need to use software in order to individualize the educational process in accordance with the special needs and pace and abilities of each student. 2. The model of creating and implementing scientific, methodological and software for personalized adaptive mathematics education is justified by considering the following blocks: 2.1) defining official documents, curricula in the target block and clarifying their use in research work; 2.2) in the content block - the addition of software to the content of special subjects in educational institutions, methodological explanation, educational and methodological support; 2.2) in the results block - to determine the components and criteria that will allow to to improve the education of students, to form their knowledge and skills. 3. The algorithms of the scientific and methodological foundations of personalized adaptive mathematics education are defined: 3.1) the algorithm for adapting the learning content; 3.2) an algorithm for evaluating academic performance; 3.3) an algorithm for improving the level of knowledge on the topic in the information environment. 4. The software for personalized adaptive mathematics education «APLE®» has been created and implemented : 4.1) the structure and content of the software has been compiled; 4.2) is hosted as a second-level domain called «APLE®». 5. Positive results of experimental work on the use of scientific, methodological and software for personalized adaptive mathematics education and confirmation of the forecast. Research base: SPE with the REM «Aktobe Higher Polytechnic College», LLP «Higher College of Aktobe Regional University named after K. Zhubanov», SPE with the REM «Technical College» of the akimat of Astana city. Main phases of the study: The first stage (2021-2022 academic year). Scientific and educational and methodological sources were analyzed on the topic of the study. The scientific apparatus of the research work was created, the main goals and objectives were determined. Scientific and theoretical foundations of personalized adaptive teaching of mathematics, as well as psychological and pedagogical factors affecting the organization of the learning process were analyzed. Their significance has been established. Various forms of personalized learning were considered, the properties and use of this technology in the educational environment were studied. Second phase (2022-2023 academic year, first half of 2023-2024 academic year). Software development environments for personalized adaptive learning are mastered and work on object recognition is carried out. The subject area of the research work, ways of its application based on personalized adaptive learning technology, scientific and methodological and software were developed. The scientific, methodological and software of personalized adaptive learning technology was applied and tested in the training process. A brainstorming session for teachers on the use of personalized adaptive learning technologies was also organized. The third stage (the second half of the 2023-2024 academic year). The results of the conducted pedagogical experiment were summarized, analyzed and processed using the methods of mathematical statistics. Based on the results of the study, recommendations were developed and a dissertation work was written. Discussion and realization of the research results: 1 article in the journal indexed in the international database Scopus: 1. The Role of Adaptive Personalized Technologies in the Learning Process: Stepik as a Tool for Teaching Mathematics // International Journal of Virtual and Personal Learning Environments (IJVPLE). ‒ 2023. - Vol. 13(1). - P. 1-15. 5 articles in journals recommended by the Committee for Quality Assurance in Science and Higher Education of the Ministry of Science and Higher Education of the Republic of Kazakhstan: 1.Pedagogical formation of students' cognitive activity in an adaptive educational environment // Bulletin of Yasawi University Pedagogy Series. - 2022. - №3(125). - P. 246-255. 2.Management of the learning process using adaptive personalized learning systems // Scientific journal “Bulletin of the National Academy of Sciences of the Republic of Kazakhstan” series “Pedagogy”. - 2023. - №2(402). - P. 115-122. 3.Personalized adaptive learning: analysis, comparison, conclusions // Scientific journal “Bulletin of the National Academy of Sciences of the Republic of Kazakhstan” series “Pedagogy”. - 2023. - №3(403). - P. 102-113. 4. Investigation of the effectiveness of personalized adaptive mathematics teaching // Multidisciplinary scientific journal of Kostanay Regional University named after A. Baitursynov series “Pedagogy”. - 2023. - №2. - P. 194-203. 5. Оқытудың когнитивті теориясына негізделген дербес бейімдеп оқыту технологиясы // Vestnik KazNUI named after Abylai Khan series “Pedagogy”. - 2024. - №2. - P. 415-429. 4 articles at international scientific and practical conferences: 1. Использование адаптивного персонализированного обучения математике в соответствии с интересами учащихся: влияние соответствующих контекстов на успеваемость и результаты обучения // Collection of materials of the international scientific-practical conference “Actual problems of teaching mathematics and physics in schools and universities in the conditions of updated content of education” (Almaty, 2021. - P. 151-154). 2. Использование адаптивных образовательных платформ на уроках математики // Collection of materials of the international scientific-practical conference Altyzarin readings “Innovation, education, experience-vectors of educational path” (Kostanay, 2023. - P. 618-623). 3. Адаптивные персонализированные системы в образовании: аспекты реализации и влияние на развитие компетенций студентов // Proceedings of the International Scientific and Practical Conference on the theme “Seitkasymov Readings-2023” (Astana, 2023. - P. 560-562). 4. Цифрлық платформаның көмегімен дербес бейімдеп оқыту // Models and methods of increasing the efficiency of innovation research: Proceedings of the International Scientific Conference (Almaty, 2023. - P. 281-287). Educational and methodical manuals: 1. A set of practical tasks on "Mathematics" - "Methodological Center" of the Akimat of Astana city, GKP, 2023. - 70 p. 3. "Methodological recommendations on the use of personalized adaptive educational technologies" Astana: Publishing house "Intellect", 2023. - 25 p. Certificates of data entry in the State Register of copyrighted objects (Appendix A): 1. «Программное обеспечение для персонализированного адаптивного обучения математике» Certificate of entry of information into the state list of copyrighted objects, March 14, 2024, № 43698. 2. «Методические рекомендации по использованию персонализированных адаптивных образовательных технологий» Certificate of entry of information into the state list of copyrighted objects dated May 1, 2023 № 35794. Approbation of research results and their implementation in the educational process The research results were tested and implemented in the educational process under the educational program "06130100 - Software" of Aktobe Higher Polytechnic College, under the educational program "01140700 - Informatics" of Aktobe Regional University named after K. Zhubanov, under the educational program "07150100 - Technology of Mechanical Engineering" at the Technical College of the Akimat of Astana. The structure of the dissertation. The thesis consists of an introduction, three sections, a conclusion, a list of references and appendices.
