Conduct of analogies in the process of formation of mathematical concepts in technical students
DOI:
https://doi.org/10.31649/2524-1079-2022-7-1-046-050Keywords:
method of analogies, concept, mathematical preparation, students of technical specialtiesAbstract
The article demonstrates the idea of applying the method of analogies in the process of forming mathematical concepts among students of technical specialties. Different approaches to the interpretation of the process of making analogies in the educational process are analyzed. Based on the analysis of scientific studies devoted to the specified issue, the method of conducting analogies is defined as a method of scientific knowledge that allows you to form conclusions about the researched object by comparing it with an already known object. Among other things, the main consequence of mental actions when conducting an analogy is an inference – the result of conducting an analogy, which allows you to draw a conclusion about the similarity or difference of the features (elements) of the studied objects or subjects, as well as their properties. Therefore, the result of analogizing (making an analogy) is students' acquisition of new knowledge about an unknown object (subject).
The method of analogies has two important functions: the transition from a known information object to an unknown one, and the transition from a “simple” information object to its “complex” counterpart. An important feature of the analogy method is its potential for application in the formation of mathematical concepts. Thus, taking into account the dialectical unity of the functional properties of the method of analogies (explanatory and searching functions), the explanatory function of the method of analogies, in particular when forming concepts, is realized by building models for carrying out analogies, which will become the basis for forming an idea of a specific concept (object), searching the function of the method of analogies during the formation of concepts is based on the fact that students carry out an analysis and synthesis of the received information, build hypotheses regarding a specific information structure (concept).
The purpose of the article is to reveal the essence of the method of analogies, to demonstrate its implementation in the process of forming mathematical concepts among students of technical specialties.
The conducted study of the method of analogies allows us to characterize the basic factors of its implementation in the educational process.
Given the multifacetedness of the chosen research topic, the prospects for further research include theoretical and practical developments in the implementation of the concept of the method of conducting analogies in the mathematical training of future technical specialists.
References
Boiko-Boichuk, L. V. (2007). Metod analohii u sotsialno–politychnykh doslidzhenniakh [The method of analogies in socio-political research]. Politychnyi menedzhment, 4, 74-82. URL: https://ipiend.gov.ua/wp-content/uploads/2018/07/boiko_boichuk_metod.pdf. [in Ukrainian].
Karpash, M., Kryzhanivskyi, Ye., & Karpash, O. (2018). Vyshcha inzhenerna osvita v umovakh staloho rozvytku suspilstva [Higher engineering education in the conditions of sustainable development of society]. Vyshcha osvita Ukrainy, 2, 55–60. URL: http://nbuv.gov.ua/UJRN/vou_2014_2_10. [in Ukrainian].
Klepko, V. (2005). Antolohiia aksiolohichnoi paradyhmy upravlinnia osvitoiu [Anthology of the axiological paradigm of education management]: navch. posib. Kyiv: Osvita Ukrainy. [in Ukrainian].
Kolodiichuk, L. S. (2019) Metodolohichni pidkhody do proiektuvannia osvitnoho protsesu pidhotovky maibutnikh fakhivtsiv elektrotekhnichnoho profiliu [Methodological approaches to the design of the educational process of training future specialists in the electrical engineering profile]. Pedahohichni nauky, 86, 42–44. DOI: https://doi.org/10.32999/ksu2413-1865/2019-86-6. [in Ukrainian].
Kolomiiets, A. A. (2014). Vykorystannia prykladnykh zadach pry vyvchenni temy “Dyferentsialni rivniannia” yak shliakh do fundamentalizatsii navchalnoho protsesu [The use of applied problems when studying the topic “Differential Equations” as a way to fundamentalize the educational process]. Naukovi zapysky Vinnytskoho derzhavnoho pedahohichnoho universytetu imeni Mykhaila Kotsiubynskoho. Seriia: Pedahohika i psykholohiia, 42 (1), 37–40. [in Ukrainian].
Kolomiiets, A. A., & Klochko, V. I. (2018). Metod analohii yak zasib pohlyblennia fundamenatalnoi matematychnoi pidhotovky studentiv tekhnichnykh universytetiv [The method of analogy as a means of deepening the fundamental mathematical training of students of technical universities]. Suchasni informatsiini tekhnolohii ta innovatsiini metodyky navchannia: dosvid, tendentsii, perspektyvy: materialy II Mizhnarod. nauk.-prakt. Internet-konf. m. Ternopil, 8–9 lystopada 2018 r. (2, 204–207). Ternopil, TNPU imeni V. Hnatiuka. URL: http://dspace.tnpu.edu.ua/bitstream/123456789/15318/1/ Kolomiiets_Klochko.pdf. [in Ukrainian].
Kozlovskyi, Yu. M. & Koziar, M. M. (Red.). (2012). Modeliuvannia naukovoi diialnosti vyshchoho navchalnoho zakladu: teoretyko-metodolohichnyi aspekt [Modeling of scientific activity of a higher educational institution: theoretical and methodological aspect]: monohrafiia. Lviv: SPOLOM. [in Ukrainian].
Shvai, O. L. (2018). Vykorystannia analohii dlia formuvannia vmin perenosu znan [Using analogy to form knowledge transfer skills]. Fizyko-matematychna osvita, 2(16), 153–156. URL: http://nbuv.gov.ua/UJRN/fmo_2018_2_31. [in Ukrainian].
Vovk, L. I. (2008). Aktyvizatsiia navchalno-piznavalnoi diialnosti studentiv na osnovi metodu analohii u navchanni fizyky (na nefizychnykh fakultetakh) [Activation of educational and cognitive activity of students based on the method of analogy in teaching physics (at non-physics faculties)]: monohrafiia. Poltava: Poltavskyi universytet spozhyvchoi kooperatsii Ukrainy. [in Ukrainian].
Young, L. (1983). Right-Brained Decision Support Systems. URL: http://portal.acm.org/citation.cfm?id=1113492&dl=acm&coll=&CFID=15151515&CFTOKEN=6184618.
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