Applications of the differentiation method in the study of the topic of trigonometric equations and inequalities
| dc.contributor.author | Kazhmukhanov A. | |
| dc.date.accessioned | 2026-04-09T04:38:51Z | |
| dc.date.available | 2026-04-09T04:38:51Z | |
| dc.date.issued | 2025 | |
| dc.description.abstract | This dissertation comprehensively explores the effectiveness of applying the differentiation method in teaching trigonometric equations and inequalities. In today's educational system, the variation in students’ preparedness levels has become a pressing issue, especially when dealing with complex mathematical topics like trigonometry. The theoretical part of the study discusses the concept and importance of differentiated instruction, along with a review of both domestic and international practices. The methodological section presents approaches for designing level-specific tasks on trigonometric equations and inequalities. Levels A, B, and C were introduced, and customized tasks were developed using graphical methods, function properties, and identity transformations. A pedagogical experiment was conducted with students from grades 5, 6, and 11. The findings demonstrate a positive impact of differentiation on student performance, motivation, and independent learning. Even students with lower academic performance achieved success through assignments tailored to their capabilities. The study also considers the integration of artificial intelligence (AI) tools to support differentiated learning. Digital platforms allow teachers to accurately assess student levels and assign personalized tasks accordingly. The research concludes that the differentiation method is effective not only in teaching trigonometry but also applicable to other areas of mathematics. Therefore, broader implementation and enhanced teacher training in differentiation strategies are recommended. | |
| dc.identifier.citation | Kazhmukhanov A / Applications of the differentiation method in the study of the topic of trigonometric equations and inequalities / SDU University / Faculty of Education and Humanities | |
| dc.identifier.uri | https://repository.sdu.edu.kz/handle/123456789/2601 | |
| dc.language.iso | en | |
| dc.publisher | SDU University | |
| dc.subject | differentiated instruction | |
| dc.subject | trigonometric equations | |
| dc.subject | artificial intelligence in education | |
| dc.title | Applications of the differentiation method in the study of the topic of trigonometric equations and inequalities | |
| dc.type | Thesis |