FROM READY-MADE ANSWERS TO GUIDED THINKING: THE METHOD OF COGNITIVE-TRAJECTORY TRACING IN THE USE OF ARTIFICIAL INTELLIGENCE
Abstract
Purpose. The purpose of the article is to theoretically justify and experimentally verify a didactic modelof pedagogically guided use of artificial intelligence in developing mathematical competencies of futureprimary school teachers, as well as to clarify the essence of the cognitive-trajectory tracing method as a tool foranalysing students’ learning activity. Methods. The study employed analysis of scholarly and policy sources,pedagogical observation, questionnaires, analysis of student–AI dialogues, and a quasi-experiment withdiagnostic, formative, and control stages. Statistical processing of the results was carried out using Student’st-test. The participants were 33 second-year students majoring in Primary Education from two consecutiveacademic cohorts. Results. The article proposes a didactic model of AI use in which the role of artificialintelligence shifts from a tool for checking answers and varying task conditions to an object of critical analysisand a means of co-creation. The cognitive-trajectory tracing method is substantiated as a way to record notonly the final answer but also the sequence of students’ cognitive actions in interaction with AI, includingprompt formulation, clarification of conditions, choice of strategy, verification, explanation, and reflection. Theexperimental results demonstrated positive dynamics in the levels of mathematical competence, an increase in analytical and reflective actions, and signs of transfer from students’ own learning strategies to their emergingmethodological competence as future teachers. Conclusions. Pedagogically guided AI use can serve asan effective means of developing mathematical and methodological competencies in future primary schoolteachers, provided that learning is based on clear didactic design, human oversight, and a shift of emphasisfrom answer production to the process of thinking.
References
2. Kasneci E., Seßler K., Küchemann S., Bannert M., Dementieva D., Fischer F. et al. ChatGPT for good? On opportunities and challenges of large language models for education. Learning and Individual Differences. 2023. Vol. 103. Article 102274. DOI: 10.1016/j.lindif.2023.102274
3. Miao F., Holmes W. Guidance for generative AI in education and research. Paris: UNESCO, 2023.
4. Miao F., Cukurova M. AI competency framework for teachers. UNESCO, 2024.
5. Miao F., Shiohira K., Lao N. AI competency framework for students. UNESCO, 2024.
6. Інструктивно-методичні рекомендації щодо запровадження та використання технологій штучного інтелекту в закладах загальної середньої освіти/Міністерство цифрової трансформації України, Міністерство освіти і науки України. 2024. URL: https://mon.gov.ua/static-objects/mon/sites/1/news/2024/05/21/Instruktyvno.metodychni.rekomendatsiyi.shchodo.SHI.v.ZZSO-22.05.2024.pdf
7. Штучний інтелект у закладах вищої освіти: рекомендації для викладачів, студентів і працівників ЗВО / Міністерство освіти і науки України. URL: https://mon.gov.ua/static-objects/mon/sites/1/news/2025/04/24/shi-vzakladakh-vyshchoi-osvity-24-04-2025.pdf2025
8. Nguyen D. T., Pham Q. V. The evolving landscape of AI integration in mathematics education: A systematic review of trends (2015–2025). EURASIA Journal of Mathematics, Science and Technology Education. 2025. Vol. 21, No. 10. Article em2714. DOI: 10.29333/ejmste/17078
9. Саган О. В. Організація персоналізованого навчання за допомогою штучного інтелекту. Педагогічні науки. 2024. № 108. С. 37–43. DOI: 10.32999/ksu2413-1865/2024-108-6
10. Саган О. В., Блах В. С. Штучний інтелект як цифровий колега: можливості, виклики та перспективи використання в освіті. Педагогічні науки. 2025. № 111. С. 39–46. DOI: 10.32999/ksu2413-1865/2025-111-6
11. Саган О. В. Штучний інтелект як структурний складник методичної системи викладання освітньої компоненти у вищій освіті. Педагогічні науки. 2025. № 112. С. 20–25. DOI: 10.32999/ksu2413-1865/2025-112-3

This work is licensed under a Creative Commons Attribution 4.0 International License.