Matrix Approach to Modeling Pedagogical Objects in Didactic and Methodological Research

V. Monakhov; T. Erina

doi:10.12737/12926

MATRIX APPROACH TO MODELING PEDAGOGICAL OBJECTS IN DIDACTIC AND METHODOLOGICAL RESEARCH Matrix Approach to Modeling Pedagogical Objects in Didactic and Methodological Research

АА Аа

Published in Standards and Monitoring in Education · Volume 3, Issue 4 · Pages 28–39 · Rubric: Pedagogical measurement

DOI: https://doi.org/10.12737/12926

Received: 16.07.2015 Accepted: 16.07.2015 Published: 16.07.2015 Language of publication: ru-RU

Authors

V. Monakhov

T. Erina

V. Monakhov

Academic degree: doctor of pedagogical sciences

Russian Academy of Education Senior Researcher · Institute for Strategy of Education · Moscow

T. Erina

ABSTRACT

In the article, we talk about the technology of creating initial models of such pedagogical objects as educational process, methodological training system, and the trajectory of obtaining educational results required by Federal State Educational Standard. For further improvement of the initial model at the stage of in-model studies we suggest the technology of designing educational systems with given properties developed by V.M. Monakhov. We have also discussed the problem of algorithmically exact solutions of didactic tasks and problems.

KEYWORDS

initial pedagogical model of object, matrix approach, canonical form of statement of the pedagogical tasks, in-model studies of the constructed models’ behaviour, clarifying and improving the initial model using the technology of designing educational systems with given properties.

Text

Характер исследовательской деятельности в современных условиях все больше требует и в то же время все чаще фиксирует такие тенденции, как математизация, технологизация, информатизация, инструментализация. Представляется, что это, скорее, некие внешние признаки. К более глубоким изменениям следует отнести два направления, которые, на наш взгляд, более радикально меняют характер научно-исследовательской деятельности. К ним следует отнести, во-первых, более адресное использование методологического основания предстоящего исследования. И, во-вторых, инструментализацию самого исследовательского аппарата. Последние десятилетия такие науки, как педагогика, социология, дидактика, филология переходят от одностороннего использования анкетирования и статистических методов к моделированию объектов исследования, к проектировочной деятельности по созданию моделей того или иного объекта и, наконец, к проведению собственно исследования различных свойств модели построенного объекта на уровне так называемого внутримодельного исследования.

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2. Erina, T.M., Monakhov, V.M. Nuzhna li segodnya adaptivnaya optimal´naya sistema modernizatsii s napered zadannymi svoystvami Do today adaptive optimal system modernization with predetermined properties []. VGSPU [VGSPU]. 2013, I. 7 (82), pp. 44-51.

3. Monakhov, V.M. Vvedenie v teoriyu pedagogicheskikh tekhnologiy [Introduction to the theory of educational technology]. Volgograd, Peremena Publ., 2006.

4. Monakhov, V.M. Informatizatsiya uchebno-metodicheskogo obespecheniya tselostnogo protsessa formirovaniya kompetentsiy i tekhnologicheskogo monitoringa upravleniya ikh kachestvom [Informatization of educational and methodological support the whole process of the formation of competencies and technological monitoring of quality control]. Vestnik MGGU [Herald of Moscow State Mining University]. 2012, I. 4, pp. 46-59.

5. Monakhov, V.M. Kompetentnostno-kontekstnyy format obucheniya i proektirovanie obrazovatel´nykh moduley [Competence-contextual learning format and design of educational modules]. Vestnik MGGU im. M.A. Sholokhova [Herald SMSUH. MA Sholokhov]. 2012, I. 1.

6. Monakhov, V.M. Metodologicheskie osnovaniya razrabotki tekhnologiy postroeniya sistem obrazovaniya s zadannymi svoystvami [Methodological bases of development of technologies of building education systems with desired properties]. Materialy mezhdunarodnoy nauchno-prakticheskoy konferentsii 14 iyulya 2010. «Tekhnologii postroeniya sistem obrazovaniya s zadannymi svoystvami» [Proceedings of the international scientific-practical conference on July 14, 2010. «Technology of building education systems with desired properties.»]. Moscow, MGGU im. M.A. Sholokhova Publ., pp. 26-32.

7. Monakhov, V.M. Novaya didaktika: tekhnologiya proektirovaniya sovremennoy modeli distantsionnogo obrazovaniya [New didactics: design technology of a modern model of distance education]. Moscow, RITs «Al´fa» MGOPU im. M.A. Sholokhova Publ., 2002. 98 p.

8. Monakhov, V.M. O modeli vuzovskogo tekhnologicheskogo uchebnika polnogo tsikla, obespechivayushchego realizatsiyu FGOS VPO [On a model of technological university textbook full cycle, ensuring the implementation of the GEF VPO]. Pedagogika [Pedagogy]. 2012, I. 10, pp. 17-25.

9. Monakhov, V.M. Proektirovanie i realizatsiya uchebnometodicheskogo obespecheniya tselostnogo protsessa formirovaniya professional´nykh kompetentsiy [Design and implementation of training and methodological support of the whole process of formation of professional competence]. Materialy III Mezhdunarodnoy nauchno-prakticheskoy konferentsii 12-13 noyabrya 2012 [Materials III International scientific-practical conference on November 12-13, 2012], pp. 37-44.

10. Monakhov, V.M. Proektirovanie i realizatsiya uchebnometodicheskogo obespecheniya tselostnogo protsessa formirovaniya professional´nykh kompetentsiy [Design and implementation of training and methodological support of the whole process of formation of professional competence]. Materialy IV Mezhdunarodnoy nauchno-prakticheskoy konferentsii «Tekhnologii postroeniya sistem obrazovaniya s zadannymi svoystvami» [Proceedings of the IV International scientific and practical conference «Technologies of construction of educational systems with desired properties.»]. Moscow, MGGU im. M.A.Sholokhova Publ., 2013, pp. 37-44.

11. Monakhov, V.M. Tekhnologiya proektirovaniya metodicheskoy sistemy s zadannymi svoystvami v vysshey shkole [Technology of designing of methodical system with desired properties in high school]. Pedagogika [Pedagogy]. 2011, I. 6, pp. 43-46.

12. Monakhov, V.M. Tekhnologo-instrumental´nye osnovaniya proektirovaniya metodicheskoy sistemy prepodavaniya s napered zadannymi svoystvami v usloviyakh FGOS III pokoleniya [Technological and instrumental base design of methodical system of teaching with predetermined characteristics in terms of GEF III generation]. Vestnik Moskovskogo universiteta. Seriya 20. Pedagogicheskoe obrazovanie [Bulletin of Moscow University]. 2012, I. 1.

13. Monakhov, V.M. Usilenie instrumental´noy napravlennosti metodologii proektirovaniya pedagogicheskikh sistem s zadannymi svoystvami (na primere evolyutsii otechestvennoy metodicheskoy sistemy obucheniya matematike) [Strengthening the instrumental orientation of design methodology of pedagogical systems with desired properties (for example, the evolution of domestic methodical system of teaching mathematics)]. Materialy V Mezhdunarodnoy nauchno-prakticheskoy konferentsii «Tekhnologii postroeniya sistem obrazovaniya s zadannymi svoystvami» [Proceedings of the V International scientific and practical conference «Technologies of construction of educational systems with desired properties.»]. Moscow, MGGU im. M.A.Sholokhova Publ., 2014, pp. 32-38.

14. Monakhov, V.M., Erina, T.M. Zadannye svoystva kak innovatsionnaya metodologicheskaya kategoriya didakticheskogo instrumentariya modernizatsii. Tekhnologiya postroeniya sistem obrazovaniya s zadannymi svoystvami [Set the properties as an innovative methodological category of didactic tools of modernization. The technology of building education systems with desired properties]. Materialy IV Mezhdunarodnoy nauchno-prakticheskoy konferentsii. 21-22 noyabrya 2013 g [Proceedings of the IV International scientific and practical conference. 21-22 November 2013]. Moscow, RITs MGGU im M.A. Sholokhova Publ., 2013, pp. 99-105.

15. Monakhov, V.M., Erina, T.M. Instrumental´naya didaktika: mif ili real´nost´ [Instrumental didactics: Myth or Reality]. Izvestiya VGSPU [News VGSPU]. 2014, I. 4(89), pp. 189-198.

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17. Monakhov, V.M., Firstov, V.E. Didakticheskiy potentsial sinergeticheskogo podkhoda k formirovaniyu obshchenauchnogo metodologicheskogo osnovaniya modernizatsii obrazovaniya [Didactic potential synergistic approach to the formation of general scientific methodological basis of educational modernization]. Trudy VIII Mezhdunarodnoy nauchno-prakticheskoy konferentsii «Sovremennye informatsionnye tekhnologii i IT-obrazovanie», 8-10 noyabrya 2013 g. [Proceedings of the VIII International scientificpractical conference «Modern Information Technologies and ITEducation», 8-10 November 2013]. Moscow, MGU im. M.V.Lomonosova Publ., pp. 108-123.

18. Monakhov, V.M., Firstov, V.E. Printsipy sinergetiki pri formirovanii upravleniya v protsesse modernizatsii sistemy obrazovaniya [The principles of synergy in the formation of management in the process of modernizing the educational system]. Sovremennye problemy matematiki, informatiki i estestvennonauchnogo znaniya: g. Koryazhma, Arkhangel´skoy obl., 15-18 sentyabrya, Rossiya. Materialy mezhdunar. Konf [Modern problems of mathematics, computer science and natural sciences: Koryazhma, Arkhangelsk Region., September 15-18, Russia / Materials Intern. Conf.]. Koryazhma, Filial FGAOU VPO «Severnyy (Arkticheskiy) federal´nyy un-t imeni M.V. Lomonosova» Publ., 2014.

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20. Shvartsburd, S.I., Monakhov, V.M., Ashkinuze, V.G. Obuchenie v matematicheskikh shkolakh [Education in the School of Mathematics]. Moscow, Prosveshchenie Publ., 1965. 340 p.

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GOST

Monakhov V. M., Erina T. Matrix Approach to Modeling Pedagogical Objects in Didactic and Methodological Research // Standards and Monitoring in Education. 2015. no. 4. pp. 28-39. DOI: https://doi.org/10.12737/12926. (Date of access 11.11.2026).

MLA

V. Monakhov, Erina T.. "Matrix Approach to Modeling Pedagogical Objects in Didactic and Methodological Research." Standards and Monitoring in Education 3.4 (2015): 28-39. DOI: https://doi.org/10.12737/12926.

APA

Monakhov V. M., Erina T. (2015). Matrix Approach to Modeling Pedagogical Objects in Didactic and Methodological Research. Standards and Monitoring in Education, 3(4), 28-39. https://doi.org/10.12737/12926

Chicago

V. Monakhov, Erina T.. "Matrix Approach to Modeling Pedagogical Objects in Didactic and Methodological Research." Standards and Monitoring in Education 3, no. 4 (2015): 28-39. https://doi.org/10.12737/12926.

WIKI

{{cite journal | author = Monakhov V. M., Erina T. | title = Matrix Approach to Modeling Pedagogical Objects in Didactic and Methodological Research | journal = Standards and Monitoring in Education | year = 2015 | volume = 3 | issue = 4 | pages = 28-39 | doi = 10.12737/12926 }}

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MATRIX APPROACH TO MODELING PEDAGOGICAL OBJECTS IN DIDACTIC AND METHODOLOGICAL RESEARCH Matrix Approach to Modeling Pedagogical Objects in Didactic and Methodological Research

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