Development of students’ critical thinking using artificial intelligence

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Abstract

Due to its well-structured system of definitions and proofs, mathematics as an academic subject in higher education institutions allows to train students in building logically sound chains of reasoning while solving problems and discussing possible methods and ways of doing sums and to choose relevant ones. Mathematics also allows to search and select relevant information, identifying missing and discarding redundant or inaccurate information, that is to form critical thinking. The importance of critical thinking development is due to ever-increasing volume of information, which has to be processed, understood and correctly applied in the right situation. Besides, the Federal State Educational Standard for Bachelor’s Degree Programs (3++) contains universal competence 1 which implies the university graduate’s being capable of searching information, critically analyzing and synthesizing it, applying a systems-based approach to tackle the given tasks. The research aim is to reveal the potential of the artificial intelligence (further – AI) systems as aids in the development of critical thinking in mathematics classes. In particular, when studying mathematical analysis, it is suggested to consider various methods of solving problems with the help of AI, to compare AI problem solutions with own ones, to analyze problem solutions critically, put forward, justify or reject hypotheses, choose relevant solutions. Scientific and methodological literature on the development of critical thinking at different training stages was studied and analyzed. The survey and questionnaire were conducted among students studying with and without the use of AI. The obtained data were systematized. The authors provide the definition of critical thinking in relation to the subject area under consideration. They also give examples of applying methodology for solving mathematical problems that contributes to the development of critical thinking skills in the process of students’ studying mathematical analysis using AI. The indicators of critical thinking development are described. The experiment on developing critical thinking skills of second-year students of the training program 01.03.02 is conducted.

About the authors

Marina A. Korytova

South Ural State University

Author for correspondence.
Email: korytovama@susu.ru
ORCID iD: 0000-0003-0691-8341

Cand. Phys.-Math. Sci., Associate Professor at the Department of Mathematical Analysis and Methods of Teaching Mathematics

Russian Federation, 76, Lenin prospekt, Chelyabinsk, 454080

Svetlana A. Shunailova

South Ural State University

Email: shunailovasa@susu.ru
ORCID iD: 0009-0008-5074-8419

Cand. Ped. Sci., Associate Professor at the Department of Mathematical Analysis and Methods of Teaching Mathematics

Russian Federation, 76, Lenin prospekt, Chelyabinsk, 454080

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