FORMATION OF RELATIONS BETWEEN CONCEPTS BY MEANS OF TEACHING TEXTS (ON THE EXAMPLE OF THE CONCEPT «FUNCTION»)
DOI: 10.23951/2307-6127-2018-4-60-71
Fundamental importance for the development of thinking of a teenager, his intellectual education has the formation of concepts. Organization of training aimed at taking into account the laws of the process of formation of conceptual thinking is relevant in the methods of teaching natural sciences. Knowledge at the conceptual level is the knowledge of some sets of features of the concept (identification of features of the concept; establishment of the presence or absence of a certain feature in a given mathematical object; construction of objects with these features, etc.). The nature of each individual concept implies the existence of a certain system of concepts, beyond which it can not exist. Formation of the concept includes the construction of the content of education, aimed at establishing links between concepts. Establishment of a variety of relationships between concepts is especially important in the study of such a fundamental concept of mathematics as “function”, as this concept helps to identify the mutual connection and conditionality of different phenomena. Investigations show that this role of the concept of function is not always realized. Therefore, we need special educational texts that would create conditions for establishing links between concepts at each of the phases of the process of formation of the concept of “function”: motivation, categorization, enrichment, links. The motivation phase is “text – establishment of inter-subject relations”, motivating the search for a new concept that would allow to combine externally dissimilar, different situations, to find approaches to their study. Phase categorization – “text – encoding information, text – establishment of generic-specific relations, text - focus-example”, “text – relationships-mapping, analogy.” The phase of enrichment “text – establishing interdisciplinary connections, text –signs, concepts, text – systematization of concepts.” Transfer phase - “text – intra-subject links”, “text – concept application”. The knowledge of the typology of educational texts, contributing to the establishment of links between concepts in the study of “functions”, creates conditions for improving the quality of the study of this concept, for the formation of universal educational actions of various blocks.
Keywords: teaching text, function, phases of concept formation, genus-species relations, classification, operation of the recognitions, inter-subject links between concepts
References:
1. Vygotskiy L. S. Psikhologiya podrostka: Sobr. soch. [Psychology of a teenager: collected works]. Moscow, Pedagogika Publ., 1984. V. 4. 242 p. (in Russian).
2. Khinchin A.Ya. Pedagogicheskiye stat’i. Pod redaktsiey akademika AN USSR B. V. Gnedenko [Pedagogical articles. Edited by Academician of the Academy of Sciences of the Ukrainian SSR B. V. Gnedenko]. Moscow, Academy of Pedagogical Sciences of the RSFSR Publ., 1963. 204 p. (in Russian).
3. Dalinger V. A. Vnutripredmetnye svyazi kak metodicheskaya osnova sovershenstvovaniya protsessa obucheniya matematike v shkole. Dis. dokt. ped. nauk [Intrasubject connections as a methodological basis for improving the process of teaching Math at school. Diss. doct. of ped. sci.]. Omsk, 1992. 400 p. (in Russian).
4. Ivanova T. A. Teoreticheskiye osnovy gumanitarizatsii obshchego matematicheskogo obrazovaniya. Avtoref. dis. dokt. ped. nauk [Theoretical foundations of the humanitarization of general mathematical education. Abstract of thesis doct. of ped. sci.]. Moscow, 1998. 43 p. (in Russian).
5. Kholodnaya M. A. Psikhologiya ponyatiynogo myshleniya: Ot kontseptual’nykh struktur k ponyatiynym sposobnostyam [Psychology of conceptual thinking: From conceptual structures to conceptual abilities]. Moscow, Psycology Institute of RAS Publ., 2012. 288 p. (in Russian).
6. Stolyar A. A. Logicheskiye problemy prepodavaniya matematiki. Dis. dokt. ped. nauk [Logical problems of teaching mathematics. Diss. doct. of ped. sci.]. Mogilev, 1968. 326 p. (in Russian).
7. Slepkan’ Z. I. Metodicheskaya sistema realizatsii razvivayushchey funktsii obucheniya matematike v sredney shkole. Dis. dokt. ped. nauk v forme nauchnogo doklada [Methodical system for implementing the developing function of teaching Math in secondary school. Diss. doct. of ped. sci. in the form of a scientific report]. Moscow, 1987. 47 p. (in Russian).
8. Metel’skiy N. V. Psikhologo-pedagogicheskiye osnovy didaktiki matematiki [Psychological and pedagogical foundations of didactics of mathematics]. Minsk, Vysheyshaya shkola Publ., 1977. 160 p. (in Russian).
9. Shapiro S. I. Ispol’zovaniye zadach s prakticheskim soderzhaniem v prepodavanii matematiki: kniga dlya uchitelya [Use of problems with practical content in the teaching of mathematics: teacher’s book]. Moscow, Prosveshcheniye Publ., 1990. 96 p. (in Russian).
10. Bell A. Shell centre for mathematical Education, Review 1984–1988, Universaty of Nottinham, England, 1988. 142 p.
11. Prosvirova I. G. Rol’ analogii i motivatsii uchebnoy deyatel’nosti pri obuchenii matematike [Role of analogy and motivation of learning activity in teaching mathematics]. Materialy Vserossiyskoy konferentsii «Modernizatsiya soderzhaniya shkol’nogo obrazovaniya: problemy, resheniya, perspektivy» [Materials of the All-Russian Conference Modernization of school education: problems, solutions and prospects].Tomsk, Tomsk State Pedagogical University Publ., 2003. Pp. 17–21 (in Russian).
12. Gel’fman E. G., Kholodnaya M. A. Psikhodidaktika shkol’nogo uchebnika: Intellektual’noye vospitaniye uchashchikhsya [Psychodidactics of the school textbook: Intellectual education of students]. Moscow, Yurayt Publ., 2018. 324 p. (in Russian).
13. Gel’fman E. G. i dr. Algebra: uchebnik dlya 9 klassa [Algebra: textbook for grade 9]. Moscow, BINOM Publ., 2013. 272 p. (in Russian).
14. Gel’fman E. G. et al. Algebra: praktikum dlya 9 klassa [Algebra: practical course for grade 9]. Moscow, BINOM Publ., 2016. 263 p. (in Russian).
15. Lebedintsev K. F. Prepodavaniye algebry i nachal analiza: Posobiye dlya uchiteley [Teaching of algebra and the beginnings of analysis: manual for teachers]. Kiev, Radyan’ska shkola Publ., 1984. 248 p. (in Russian).
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Issue: 4, 2018
Series of issue: Issue 4
Rubric: GENERAL EDUCATION
Pages: 60 — 71
Downloads: 784