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: The relevance of this study is determined by the modern requirements related to both the structure of the learning process and the results of training and educating the younger generation in the context of globalization and informatization of a rapidly changing society. This manuscript is focused on discussing the development of cognitive independence, through humanities classes, among students studying mathematics at a basic level of the new federal state educational standard. The purpose is to find pedagogical conditions that contribute to the development of the cognitive independence of students in humanities while studying mathematics at a basic level. The authors provide a logical and didactic analysis of the existing basic-level mathematics textbooks and describe the features of the students in the humanitarian classes. The authors substantiate the pedagogical conditions required for the development of cognitive independence among these students: enrichment of the content of the humanitarian subject areas with an educational and methodological complex aimed at developing cognitive independence; the involvement of students in the humanitarian classes to develop an independent cognitive process under the condition of using the educational information environment. These conditions are said to activate mental activity, contributing to the development of cognitive independence in the study of mathematics. The authors describe pedagogical approaches (activity-oriented, personality-oriented, information-communicative, and competency-based approaches) that contribute to the development of students’ cognitive independence. The authors present the research methods (assessment of motivation for learning activities, observation of the manifestation of students’ strength-will during tasks, the quality of knowledge in mathematics). The authors conducted an experiment on the implementation of sound pedagogical conditions, the results of which are described in this manuscript. The introduction of the proposed pedagogical conditions into the educational process is of practical importance and is expected to contribute to the effective development of cognitive independence, through humanitarian classes, among students studying mathematics

The purpose of the research is to reveal the problems of studying mathematics by students of the humanities and specialties, using the example of students of the Faculty of Philology and the Institute of Foreign Philology and Regional Studies of the Ammosov North-Eastern Federal University and describe the experience of teaching mathematics, contributing to the formation of general cultural competencies focused on the use of mathematical methods in professional activities. A sociological study was carried out in the form of a written survey of students and conversations with teachers of the Faculty of Philology and the Institute of Foreign Philology and Regional Studies, covering 114 students and 4 teachers. Based on the results of the study, the authors summed up the possibility of spreading this experience, using the proposed educational and methodological complex in other humanitarian areas and specialties.

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