Constructing developmental educational texts as a factor in the development of methodical thinking
DOI: 10.23951/1609-624X-2024-2-34-43
The problem of organizing mathematics teaching that promotes understanding of information, particularly mathematical information, has always been in the focus of attention of specialists from different fields of knowledge. There are different types of understanding: understanding-recognition, understanding-hypothesis, understandingunification. Psychological and pedagogical conditions for the development of understanding include motivation to understand information; active position of the subject in working with information; taking into account the peculiarities of the formation of notional thinking; the presence of context to convey the semantic load of information; the use of different ways of coding information, including subject experience and metaphors; actualization and development of general intellectual skills. Knowledge of the psychological and pedagogical foundations of understanding learning information significantly increases the methodical culture of the teacher, allows him to think methodically, constructing the content of education and selecting teaching methods. When training a future teacher of mathematics, it is necessary to pay attention to the problem of constructing developmental educational texts that promote understanding of mathematical information. Constructing developmental educational texts is an integral methodological unit, which allows to demonstrate such methodological skills as understanding the problems arising in the study of educational material, identifying the psychological and pedagogical reasons for their occurrence, predicting possible ways of preventing arising difficulties, realizing the need to improve existing approaches to teaching,the search for psychological and pedagogical foundations of methodological activity, analysis of existing practices of constructing educational texts from the point of view of their possibility in the formation of learning actions that promote understanding, development of author’s materials, analysis and discussion of the obtained results, adjustment of methodical activity. The results of the conducted research with students of the Faculty of Physics and Mathematics have shown that the development of methodical thinking is influenced by the actualization, reconstruction and enrichment of professional experience of working with mathematical information from the point of view of psychological and pedagogical foundations of teaching learning material, as well as familiarization of future teachers with productive teaching practices aimed at understanding learning information. The conducted research allows us to conclude that purposeful teaching of general problems of teaching mathematics from the point of view of psychodidactic approach increases methodical culture of future teachers of mathematics and contributes to the development of methodical thinking.
Keywords: methodical thinking, understanding of educational material, psychodidactic approach to teaching mathematics, developing educational texts
References:
1. Znakov V. V. Psikhologiya ponimaniya: problemy i perspektivy [Psychology of understanding: Problems and prospects]. Moscow, Institute of Psychology RAS Publ., 2005. 448 p. (in Russian).
2. Kuleshova I. G., Kisel’nikov I. V., Breytigam E. K. Soderzhaniye faz ponimaniya uchebnogo materiala [The content of the phases of understanding the educational material]. Science for Education Today, 2019, no. 5, pp. 97–109 (in Russian).
3. Bershadskiy M. E. Ponimaniye kak pedagogicheskaya kategoriya [Understanding as a pedagogical category]. Moscow, Pedagogicheskiy poisk Publ., 2003. 176 p. (in Russian).
4. Gel’fman E. G., Demidova L. N., Terre A. I. Motivatsiya uchebnoy deyatel’nosti uchashchikhsya osnovnoy shkoly sredstvami uchebnykh tekstov [Motivation of educational activity of pupils of the main school by means of educational texts]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta – TSPU Bulletin, 2017, vol. 8, pp. 100–107 (in Russian).
5. Shadrikov V. D. Ponimaniye: kontseptual’nyye modeli [Understanding: conceptual models]. Moscow, Institute of Psychology RAS Publ., 2021. 209 p. (in Russian).
6. Sfard A. Symbolizing Mathematical Reality into Being: How mathematical Discourse and Mathematical Objects create each Other. In: P. Cobb, E. Yackel, K. McClain (Eds.). Symbolizing and communicating in mathematics classrooms, USA. 2000. Pp. 37–98
7. D’yui D. Psikhologiya i pedagogika myshleniya [Psychology and pedagogy of thinking]. Moscow, Yurayt Publ., 2023. 166 p. (in Russian).
8. Klyus-Stan’ska D. Paradigmy didaktiki: myslit’ teoreticheski o praktike [Paradigms of didactics: to think theoretically about practice]. Moscow, Natsional’noye obrazovaniye Publ., 2022. 320 p. (in Russian).
9. Sarantsev G. I. Uchitelyu – sovremennoye metodicheskoye myshleniye [Teacher – modern methodical thinking]. Nauka i shkola – Science and School, 2014, no. 2, pp. 12–16 (in Russian).
10. Kholodnaya M. A., Gel’fman E. G. Razvivayushchiye uchebnyye teksty kak sredstvo intellektual’nogo vospitaniya uchashchikhsya [Developing educational texts as a means of intellectual education of students]. Moscow, Institute of Psychology RAS Publ., 2016. 200 p. (in Russian).
11. Gel’fman E. G., Penskaya Yu. K., Tsymbal S. N. Psikhodidakticheskiy podkhod k podgotovke budushchikh uchiteley matematiki [Psychodidactic approach to training future teachers of mathematics]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta – TSPU Bulletin, 2017, no. 12 (189), pp. 100–108 (in Russian).
12. Gel’fman E. G., Kholodnaya M. A., Podstrigich A. G. Tipologiya razvivayushchikh uchebnykh tekstov (na primere shkol’noy matematiki) [Typology of developing educational texts (on the example of school mathematics)]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta – TSPU Bulletin, 2019, vol. 3 (200), pp. 27–34 (in Russian).
13. Bondarenko T. Ye. Tozhdestvennyye preobrazovaniya tselykh ratsional’nykh vyrazheniy i ikh primeneniye dlya ratsionalizatsii vychisleniy v kurse algebry 7 klassa: metodicheskoye posobiye dlya uchitelya [Identity transformations of integer rational expressions and their application for rationalization of calculations in the 7th grade algebra course: a teaching aid for the teacher]. Voronezh, Nauka-YUNIPRESS Publ., 2014. 140 p. (in Russian).
14. Okunev A. A. Kak uchit’ ne ucha, ili 100 masterskikh po matematike, literature i dlya nachal’noy shkoly [How to teach without teaching, or 100 workshops in mathematics, literature and for elementary school]. Petersburg, Piter Publ., 1996. 445 p. (in Russian).
( 552.06 kB ) 
( 537.28 kB )
Issue: 2, 2024
Series of issue: Issue 2
Rubric: PROFESSIONAL TRAINING OF TEACHERS
Pages: 34 — 43
Downloads: 844