Integration of Logical and Intuitive Student Experience as a Condition for Understanding Mathematics
- Authors: Peshko A.A.1, Podstrigich A.G.2,3
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Affiliations:
- “Eureka-Development” School, Tomsk
- Tomsk State Pedagogical University
- National Research Tomsk State University
- Issue: No 4 (2024)
- Pages: 49-70
- Section: PEDAGOGY
- URL: https://journal-vniispk.ru/2782-2575/article/view/275059
- DOI: https://doi.org/10.23951/2782-2575-2024-4-49-70
- ID: 275059
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Abstract
Recent studies in psychology and pedagogy explore the duality of human thought, where two opposing systems – heuristic and analytical – interact in a dialectical unity. This leads to two corresponding ways of understanding the world: logical and intuitive. Focusing solely on developing students’ logical abilities may result in them being able to solve only a small number of typical problems and fail to promote their overall personal development. Therefore, more emphasis is now placed on promoting a deeper understanding of topics by moving away from formal approaches. This is done by encouraging active learning and integrating logical and intuitive thinking, which helps students absorb the information at a deeper level. This article explores how these two styles of thinking can be combined in the mathematics classroom and the impact this has on student learning.
About the authors
Aliya Ablaevna Peshko
“Eureka-Development” School, Tomsk
Author for correspondence.
Email: peshko.aliya@gmail.com
Tomsk, Russian Federation
Anna Gennadyevna Podstrigich
Tomsk State Pedagogical University; National Research Tomsk State University
Email: anpodstrigich@mail.ru
Tomsk, Russian Federation
References
- Kolmogorov A.N. Matematika [Mathematics]. In: BSE. 2nd ed. 1954;26:464-483 (in Russian).
- Ivanova T.A. Gumanitarizaciya matematicheskogo obrazovaniya: Monografiya [Humanitarization of mathematical education: A monograph]. Nizhniy Novgorod, NGPU Publ., 1998. 206 p. (in Russian). URL: https://www.mathedu.ru/text/ivanova_gumanitarizatsiya_matematicheskogo_obrazovaniya_1998/ (accessed 28 April 2024).
- Puankare A. O nauke [About science]. Moscow: Nauka Publ., 1990. 735 p. (in Russian).
- Znakov V.V. Mnogomerniy mir cheloveka: tipy real’nosti, ponimaniya i social’nogo znaniya [The multidimensional human world: types of reality, understanding and social knowledge]. Vestnik Moskovskogo universiteta. Ser. 14. Psikhologiya – Bulletin of Moscow University. Series 14. Psychology. 2012:18-29 (in Russian).
- Zavalishina D. N. Psihologicheskiy analiz operativnogo myshleniya: Eksperim.-teoret. issled. [Psychological analysis of operational thinking: An exper.-theory. research]. Moscow: Nauka Publ., 1985: 221 p. (in Russian).
- Kholodnaya M.A. Psikhologiya intellekta. Paradoksy issledovaniya: ucheb. posobie dlya bakalavriata i magistratury [The psychology of intelligence. Paradoxes of research: studies. a handbook for undergraduate and graduate studies]. Moscow, Yurayt Publ., 2019:334 p. (in Russian).
- Poya D. Matematika i pravdopodobnye rassuzhdeniya magistratury [Mathematics and plausible reasoning]. Moscow, Nauka Publ., 1975. 464 p. (in Russian).
- Adamar Zh. Issledovanie psihologii processa izobreteniya v oblasti matematiki. Moscow, MCNMO Publ., 2020:152 p. (in Russian).
- Taleb N.N. Antihrupkost'. Kak izvlech' vygodu iz haosa [Antifragility. How to benefit from the chaos]. Moscow, KoLibri Publ, 2015:762 p. (in Russian).
- Taleb N.N. Chernyi lebed'. Pod znakom nepredskazuemosti [The black swan. Under the sign of unpredictability]. Moscow, KoLibri Publ., 2022:736 p. (in Russian).
- Kurant R., Robbins G. Chto takoe matematika? [What is mathematics?]. Moscow, MCNMO Publ., 2023:568 p. (in Russian).
- Znakov V.V. Ekzistencial’nyi opyt i postizhenie kak metodologicheskie problemy psikhologii ponimaniya [Existential experience and Comprehension as methodological problems of the psychology of understanding]. Chelovek. Soobshchestvo. Upravlenie – Man. Community. Management. 2014;3:67-82 (in Russian).
- Breytigam E.K. Garmonichnoe sochetanie racional’nogo i intuitivnogo pri obuchenii matematike v shkole i vuze [A harmonious combination of rational and intuitive when teaching mathematics at school and university]. Prepodavalel’ XXI vek – Teacher the 21th century. 2016;4 (in Russian). URL: https://cyberleninka.ru/article/n/garmonichnoe-sochetanie-ratsionalnogo-i-intuitivnogo-pri-obuchenii-matematike-v-shkole-i-vuze (accessed 17 April 2024).
- Breytigam E.K. Integratsiya ratsional’nogo i intuitivnogo opyta kak sredstvo obespecheniya ponimaniya uchebnogo materiala po matematike [Integration of rational and intuitive experience as a means of ensuring understanding of educational material in mathematics]. Sovremennye problemy nauki i obrazovaniya – Modern problems of science and education. 2015 (in Russian). URL: https://s.science-education.ru/pdf/2015/1/638.pdf (accessed 28 April 2024).
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