Classification of information sources according to the nature of its presentation from the perspective of teaching mathematics
DOI: 10.23951/1609-624X-2025-2-116-124
Mathematical activity is the exchange of information and its processing. Typically the focus is on learning to process information. For example, we highlight information processing at the level of: 1) standard algorithms; 2) standard activity strategies; 3) methodology. But working with information begins with its presentation, which is characterized by the language used, the pace and style of transmitting information, etc. But the influence of the level of fixation of the order of presentation of information units has not been studied enough. The purpose is to study different models of presentation of information units and their impact on the process of learning mathematics. The authors developed different models of presentation and primary perception of information units and built an axiomatic theory that helped to systematize and study the influence of different approaches to the presentation of information on teaching mathematics. The article presents a new approach to studying the influence of the order of information presentation on mathematics learning. This has both theoretical and practical significance, since the results of the study can be used to develop more effective methods of teaching mathematics, as well as to improve educational programs. During the study, three options for the presentation of information units and their primary perception were identified: sequential presentation of information units (oral speech), one-time presentation of all units of information with a fixed priority order of their analysis (text message), one-time presentation of all units of information with arbitrary order of their analysis (table, drawing). Each option has a different impact on the effectiveness of teaching mathematics. The authors came to the conclusion that it is important to take into account the order in which information is presented when developing educational programs and methods for teaching mathematics. This allows you to increase the efficiency of the educational process.
Keywords: teaching mathematics, information, presentation of information, axiomatic theory
References:
1. Cherches T.Ye. Psikhologicheskiye aspekty vospriyatiya uchebnoy informatsii pri raznykh formakh yeye pred’’yavleniya [Psychological aspects of the perception of educational information in different forms of its presentation]. Lichnost’, intellekt, metakognitsii: issledovatel’skiye podkhody i obrazovatel’nyye praktiki: materialy III Mezhdunarodnoy nauchno-prakticheskoy konferentsii [Personality, intelligence, metacognition: research approaches and educational practices. Materials of the III International Scientific and Practical Conference]. Kaluga, 2018. Pp. 377–381 (in Russian).
2. Kosenko V.S. Issledovaniye vliyaniya izobrazheniya i verbal’nogo teksta na vospriyatiye kreolizovannogo teksta (eksperimental’noye issledovaniye) [Study of the influence of image and verbal text on the perception of creolized text (experimental study)]. Polilingvial’nost’ i transkul’turnyye praktiki – Multilingualism and transcultural practices, 2019, vol. 16, no. 3, pp. 310–321 (in Russian).
3. Ryzhkina I.B. Obrazovatel’nyye vozmozhnosti kollazha kak didakticheskogo sredstva: mezhdistsiplinarnyy podkhod [Educational possibilities of collage as a didactic tool: an interdisciplinary approach]. Obrazovaniye i nauka – Education and Science, 2014, no. 6 (115), pp. 113–133 (in Russian).
4. Dvoryatkina S.N., Dyakina A.A., Safronova T.M. Popular science film as a resource for integrating media education technologies into the mathematics teaching system [Popular science film as a resource for integrating media education technologies into the mathematics teaching system]. Perspectives of Science and Education, 2023, no. 6 (66), pp. 192–203 (in Russian).
5. Bayguzhin P.A., Shibkova D.Z., Ayzman R.I. Faktory, vliyayushchiye na psikhofiziologicheskiye protsessy vospriyatiya informatsii v usloviyakh informatizatsii obrazovatel’noy sredy [Factors influencing the psychophysiological processes of information perception in the conditions of informatization of the educational environment]. Science for Education Today, 2019, vol. 9, no. 5, pp. 48–70 (in Russian).
6. Gadzaova L.P. Funktsional’nost’ obrazovatel’nogo i prosvetitel’skogo kontenta trio – literatury, muzyki i zhivopisi – v obuchenii inostrannomu yazyku studentov neyazykovogo vuza [The functionality of the educational and educational content of the trio – literature, music and painting – in teaching a foreign language to students of a non-linguistic university]. Yazyk i kul’tura – Language and Culture, 2021, no. 53, pp. 162–174 (in Russian).
7. Bystrova M.G., Ryblova A.N. Vidy i osobennosti pred’’yavleniya i pererabotki professional’no znachimoy informatsii [Types and features of presentation and processing of professionally significant information]. Vestnik Orenburgskogo gosudarstvennogo universiteta – Bulletin of the Orenburg State University, 2002, no. 7, pp. 84–86 (in Russian).
8. Mel’nikov Yu.B., Privalov S.M. Vnutrenneye algebraicheskoye predstavleniye strategii kak sredstvo organizatsii obucheniya matematicheskoy deyatel’nosti [Internal algebraic representation of strategy as a means of organizing teaching mathematical activity]. Sovremennoye obrazovaniye, 2019, no. 4, pp. 1–14 (in Russian).
9. Poya D. Kak reshat’ zadachu: Posobiye dlya uchiteley [How to solve a problem: A manual for teachers]. Translated from English. 2nd ed. Moscow, Uchpedgiz Publ., 1961. 208 p. (in Russian)
10. Tenkhunen P. Yu., Yeliseyeva Yu. A. Osobennosti vospriyatiya uchebnoy informatsii sovremennymi studentami: potentsial vizual’noy kontseptualizatsii [Peculiarities of perception of educational information by modern students: the potential of visual conceptualization]. Integratsiya obrazovaniya – Integration of Education, 2015, vol. 19, no. 4 (81), pp. 28–34 (in Russian).
11. Mel’nikov Yu.B. Elektronnoye uchebnoye posobiye “Matematika (chast’ 2): matematicheskiy analiz” [Electronic textbook “Mathematics (part 2): mathematical analysis”] (in Russian). URL: http://lib.usue.ru/resource/free/18/MelnikovAlgebra8/index.html (accessed 22 August 2024).
12. Zalata O.A., Yeremenko Yu. A. Otsenka vospriyatiya obrazovatel’nogo kontenta na razlichnykh urovnyakh mul’timedia [Assessing the perception of educational content at various levels of multimedia]. Integratsiya obrazovaniya – Integration of Education, 2020, vol. 24, no. 4 (101), pp. 678–691 (in Russian).
13. Nedbaylov A.A. Strukturirovaniye informatsii pri reshenii zadach v elektronnykh tablitsakh [Structuring information when solving problems in electronic tables]. Informatika i obrazovaniye – Informatics and Education, 2019, no. 2 (301), pp. 42–46 (in Russian).
14. Batayeva Ye.V. Kognitivnyye i metakognitivnyye sposobnosti obuchayushchikhsya v kontekste smart-obrazovaniya [Cognitive and metacognitive abilities of students in the context of smart education]. Obrazovaniye i nauka – Education and Science, 2019, vol. 21, no. 4, pp. 36–59 (in Russian).
15. Ivanova O.V. Smart-lektsiya kak modul’naya vizualizatsiya matematicheskoy informatsii v vysshey shkole [Smart-lecture as a modular visualization of mathematical information in higher education]. Informatika i obrazovaniye – Informatics and Education, 2020, no. 6 (315), pp. 27–35 (in Russian).
16. Khachaturova S.S. Analizator tekstovykh dokumentov [Analyzer of text documents]. Vestnik pedagogicheskikh nauk – Bulletin of Pedagogical Sciences, 2023, no. 1, pp. 110–113 (in Russian).
17. Solov’yeva V.A., Venig S.B., Belykh T.V. Analiz okulomotornoy aktivnosti, nablyudayemoy pri izuchenii obrazovatel’nogo materiala s ekrana [Analysis of oculomotor activity observed when studying educational material from the screen]. Integratsiya obrazovaniya – Integration of Education, 2021, vol. 25, no. 1 (102), pp. 91–109 (in Russian).
18. Belov F.A., Geras’kin A.S., Gretsova A.P., Zhelezovskaya G.I., Zhelezovskiy B.Ye., Nedogreyeva N.G., Nurlygayanova M.N. i Kostenko Yu. K. Innovatsionnoye nauchno-metodicheskoye soprovozhdeniye uchebnogo protsessa v shkole i vuze [Innovative scientific and methodological support of the educational process at school and university]. Saratov, Prosveshcheniye Publ., 2017. 224 p. (in Russian)
19. Madzhuga A., Yerimbetova S., Akhmetzhan B. Dialog – sut’ tekhnologiy obucheniya [Dialogue is the essence of learning technologies]. Vyssheye obrazovaniye v Rossii – Higher education in Russia, 2004, no. 3, pp. 116–119 (in Russian).
20. Gordiyenko T.P., Memetova G.E. Smart-obrazovaniye kak novaya paradigma sovremennoy sistemy obrazovaniya [Smart education as a new paradigm of the modern education system]. Kant, 2023, no. 1 (46), pp. 246–252 (in Russian).
21. Aleynikova D.V. Problemnoye pole iskusstvennogo intellekta v obrazovatel’noy sfere [Problem field of artificial intelligence in the educational sphere]. Vestnik Moskovskogo gosudarstvennogo lingvisticheskogo universiteta. Obrazovaniye i pedagogicheskiye nauki – Bulletin of the Moscow State Linguistic University. Education and pedagogical sciences, 2023, no. 1 (846), pp. 9–12 (in Russian).
( 883.2 kB ) 
( 873.21 kB )
Issue: 2, 2025
Series of issue: Issue 2
Rubric: THEORY AND METHODOLOGY OF TEACHING AND EDUCATION
Pages: 116 — 124
Downloads: 54