The organization of project-based learning (PBL) using STEM technology and the development of research skills are one of the conditions for improving the effectiveness of the educational process. Project and research activities help students successfully master the educational program, develop logical thinking, and create internal motivation. The quality of the formation of mental operations depends on the success of students in mastering not only subject knowledge, but also research skills, which is an important link in the learning process. Modern educational requirements emphasize the importance of developing STEM skills to prepare students for future professional challenges. The integration of PBL and STEM in computer science lessons is a promising approach that requires further research to determine its effectiveness.

The research was aimed at studying and evaluating the effectiveness of integrating the PBL project-based learning method and the STEM approach in computer science lessons in order to improve learning outcomes. The development of STEM skills is becoming increasingly important in modern education, and this study helped to identify how the integration of PBL and STEM has helped to increase the effectiveness of computer science education, the development of creative thinking and practical skills through programming.

As part of the research, students developed software projects aimed at solving real-world problems in various STEM fields.

The purpose of the study is to determine the impact of integrating the PBL-based teaching method and the STEM approach in computer science lessons on improving student learning outcomes and developing STEM competence.

In order to identify how the integration of PBL and STEM in computer science lessons will contribute to increasing students' motivation, developing creative and analytical skills, as well as improving their practical programming competencies, a number of tasks were set.

Research objectives:

1. Study of existing PBL and STEM methods and their applications in computer science.

2. Development and testing of integrated lessons.

3. Evaluate the interaction of integrated lessons on learning outcomes and the development of students' skills.

4. Compare the results of the group participating in integrated lessons using PBL and STEM methods with the results of the group not participating in integrated lessons.

5. Analyze feedback from students and teachers to identify the strengths and weaknesses of integrated lessons.

Research methodology: 1. Creation of integrated lessons with an emphasis on project activities and the use of computer technology. 2. Analysis of project-based learning methods and the STEM approach, highlighting key principles. 3. Conducting lessons with a focus on solving real-world problems, providing support to students. 4. Collecting data on students' interests, motivation, and perception of teaching methods. 5. Study of students' educational outcomes before and after the implementation of integrated lessons. 6. Evaluate feedback from teachers and students to identify the strengths and weaknesses of the approach. The research included a literature review, the design and implementation of integrated lessons, a quantitative analysis of test results, as well as a qualitative analysis of feedback received from the observation of the lesson by computer science teachers and focus lessons. Based on the analysis of teaching methods based on PBL projects and the STEM approach, the principles are highlighted: - the involvement of students in the learning process. The students acted as active participants rather than passive listeners.; - The key element of both methods is working with real problems, which made the work more practical and inspiring.; - PBL and STEM aim to develop skills that will be in demand in the future, such as critical thinking, collaboration, communication, and technical literacy; The novelty of the research lies in the development and testing of integrated computer science lessons using PBL and STEM approaches, which: - include students' real-world project activities aimed at solving current problems from various STEM fields; - focus on the development of research and critical thinking skills; - they use unique methods of evaluating effectiveness, including the analysis of educational achievements and qualitative feedback from students and teachers. In addition, an educational and methodological workshop on the application of an integrated approach in educational practice has been created.

The integration of PBL and STEM methods into computer science lessons has shown that students are more interested and motivated, develop creative and analytical skills, successfully master practical programming competencies, improve their educational interests and develop the necessary STEM skills. An educational and methodological workshop has been developed on the use of PBL and STEM approaches in computer science lessons. The data obtained confirm that this approach can be recommended for wide application in educational practice. It helps students prepare for modern challenges and develop the STEM competencies they need for future professions.

Hmelo-Silver, C. E., Duncan, R. G., & Chinn, C. A. (2007). Scaffolding and achievement in problem-based and inquiry learning: A response to Kirschner, Sweller, and Clark (2006). Educational Psychologist, 42(2), 99-107. The work confirms the importance of active student engagement and structured support, which is consistent with the principles of PBL and STEM. 2.National Research Council. (2011). Successful K-12 STEM education: Identifying effective approaches in science, technology, engineering, and mathematics. National Academies Press. The study highlights the need for STEM integration to prepare students for modern challenges. 3.Thomas, J. W. (2000). A review of research on project-based learning. San Rafael, CA: Autodesk Foundation. Confirms the effectiveness of project-based learning for developing motivation, critical thinking, and solving real-world problems. 4.Barron, B., & Darling-Hammond, L. (2008). Teaching for meaningful learning: A review of research on inquiry-based and cooperative learning. Analyzes the benefits of collaborative and exploratory learning, which is key for PBL and STEM. 5.Capraro, R. M., Capraro, M. M., & Morgan, J. R. (2013). STEM project-based learning: An integrated science, technology, engineering, and mathematics (STEM) approach. Describes successful examples of integrating STEM and project-based learning to increase student interest.