The connection of mathematical culture with the varieties of cognitive culture

Research Article
  • Alautdin S. Askerov Dagestan State Pedagogical University named after R. Gamzatov; Professional educational private institution "Humanitarian and Pedagogical College", Makhachkala, Russia askerov963@yandex.ru ORCID ID https://orcid.org/0009-0001-7680-7068
    Elibrary Author_id 263412
    SPIN 5710-0272
How to Cite
Askerov A.S. The connection of mathematical culture with the varieties of cognitive culture. Humanities of the South of Russia. 2025. Vol. 14. No. 1. P. 124-131. DOI: https://doi.org/10.18522/2227-8656.2025.1.8 (in Russ.).

Abstract

Objective of the study is to define the influence of various forms of the cognitive culture on the mathematical culture. The methodological basis of the study is based on the principles of objectivity, concreteness and historicism inherent in the dialectical vision of the processes; a systems approach is used, which allows to consider the events and processes of spiritual life in their interaction; structural and functional analysis in combination with historical and logical approaches are used. The results of the study. The author seeks to show the global evolution of mathematical culture and to connect it with the changes in the mathematical culture in Dagestan. Prospects of the study. In the future, the ideas of ethnomathematics can be embodied in Russian scientific school by the implementation of the principles of nationality, the development of practice-oriented and personal teaching technologies, as well as by the implementation of bilingual and polytechnic teaching methods.
Keywords:
mathematics, mathematical knowledge culture, cognitive traditions, ethnomathematics, ethnic heritage, development

Author Biography

Alautdin S. Askerov, Dagestan State Pedagogical University named after R. Gamzatov; Professional educational private institution "Humanitarian and Pedagogical College", Makhachkala, Russia
Candidate of Pedagogical Sciences, Associate Professor, Department of Higher Mathematics, Dagestan State Pedagogical University; Director, Professional Educational Private Institution "Humanitarian and Pedagogical College"

References

Askerov A. S. Formation of Mathematical Concepts in Grades V-IX Taking into Account the Peculiarities of the Dagestan National School: Abstract of Candidate of Pedagogical Sciences Dissertation: 13.00.02. Makhachkala. 1999; 15 p. (In Russ.).

Bilalov M. I. Comprehensibility of Truth: Capability, Explainability, Expressibility [of Science, Philosophy, Religion, Peoples, Civilizations, Cultures]. Makhachkala: Dagestanskoye knizhnoye izdatel'stvo = Makhachkala: Dagestan Book Publishing House. 2017; 373 p. (In Russ.).

Bilalov M. I. "The Conceptual Nature of the Spiritual and Moral Values of the Peoples of the Eurasian Commonwealth". Materialy XVIII Mezhdunarodnoy nauchno-prakticheskoy konferentsii «Novyy oriyentir regional'nogo razvitiya – vstraivaniye v Yevraziyskuyu ekonomicheskuyu perspektivu». Рod redaktsiyey G. N. Seidovoy. Stavropol': Institut Druzhby narodov Kavkaza = Proceedings of the XVIII International Scientific and Practical Conference "New Landmark of Regional Development. Integration into the Eurasian Economic Perspective". edited by G. N. Seidova. Stavropol: Institute of Friendship of the Peoples of the Caucasus. 2024; 346 p. (In Russ.).

Curry H. Foundations of Mathematical Logic. Moscow. 1969; 568 p. (In Russ.).

Metlov V. I. Dialectics of the Foundations and Development of Scientific Knowledge. Voprosy filosofii = Questions of Philosophy. 1976; 1. P.117–128. (In Russ.).

Telebayev G. "Turkic Philosophy: Basic Categories in Historical Perspective". Milli Fəlsəfə (Natsional'naya filosofiya. The National Philosophy). Baku: «Azerbaydzhan» Nashriyaty = Milli Fəlsəfə (National Philosophy. The National Philosophy). Baku: "Azerbaijan" Nashriyaty. 2019; 08(19): 904 p. (In Russ.).

Spengler O. The Decline of Europe. In 2 vols. Vol. 1. Moskva: Mysl = Moscow: Though. 1993; 606 p. (In Russ.).

Ascher M. Ethnomathematics: A Multicultural View of Mathematical Ideas. California: Cole Publishing Company. 1991.

D’Ambrosio U. Ethnomathematics. The art or technique of explaining and knowing. NMSU, Las Cruces. 1998.

Francois K., Van Kerkhove B. Ethnomathematics and the philosophy of mathematics, 2010. Available from: http://researchgate.net/publication/228394932_Ethnomathematics_and_the_Philosop hy_of_Mathematics_Education (Accessed: 21.01.2020).

Helaine Selin. Dordrecht, Boston, London: KluwerAcademicPublishers. 2000; 115–136.

Ritter J. “Egyptian Mathematics,” in: Mathematics Across Cultures, ed. Helaine Selin. Dordrecht, Boston, London: Kluwer Academic Publishers, 2000; 115–136.
Article

Received: 29.11.2024

Accepted: 23.02.2025

Citation Formats
Other cite formats:

APA
Askerov, A. S. (2025). The connection of mathematical culture with the varieties of cognitive culture. Humanities of the South of Russia, 14(1), 124-131. https://doi.org/10.18522/2227-8656.2025.1.8
Section
CULTURE AND GLOBALIZATION