31
Valery S. Sekovanov
Kostroma State University
Alexey A. Piguzov
Kostroma State University
Svetlana F. Katerzhina
Kostroma State University
Larisa B. Rybina
Kostroma State Agricultural Academy
Performing a multi-stage mathematical-informational task “Tent-like and logistic functions” as a means of developing creativity of university students
Sekovanov V.S., Piguzov A.A., Katerzhina S.F., Rybina L.B. Performing a multi-stage mathematical-informational task “Tent-like and logistic functions” as a means of developing creativity of university students. Vestnik of Kostroma State University. Series: Pedagogy. Psychology. Sociokinetics, 2020, vol. 26, № 2, pp. 211-219 (In Russ.). DOI 10.34216/2073-1426-2020-26-2-211-219
DOI: 10.34216/2073-1426-2020-26-2-211-219
УДК: 378.51
Publish date: 2020-04-11
Annotation: The paper considers a multi-stage mathematical-informational task “Tent-like and logistic functions”, the implementation of which is aimed at developing students' creativity. The multi-stage mathematical information task (MMIS) is a specially composed sequence of tasks, exercises, problems and didactic situations that connect various types of creative activity with each other. It is carried out by the MMIZ student under the guidance of a teacher and is aimed at developing his creativity. This multi-step task contains seven steps. Mathematical, informational and artistic activities in the course of performing MMIZ are aimed at developing the most important creative qualities - originality and flexibility of thinking. Solving the tasks proposed in MMIZ, the student breaks the stereotypes of thinking, puts forward hypotheses, carries out their verification by analytical methods and illustrates the results with the help of computer experiments, which is also aimed at developing his creativity. It is important to note that as part of a multi-stage assignment, the student is invited to design educational activities that develop his creative qualities. Creative qualities are necessary for a future university graduate who will face rapidly changing conditions of the social space and the modern labor market, which will require him to be able to creatively solve complex professional problems. When performing MMIZ, the student becomes a mathematician, programmer and computer artist, which increases his motivation for the studied disciplines and understanding of their deep integration connections. When performing MMIZ, the practical importance of student research is noted - a mathematical model of population development is built.
Keywords: multi-stage mathematical information task, creativity, creative activity, didactic methods, creative quality, computer experiment, tent-like and logistic functions, chaos, self-similarity, motivation.
Literature list: Katerzhina S.F., Sobashko Iu.A., Chebun'kina T.A. Tekhnologicheskii podkhod v proektirovanii uchebnogo protsessa v vuze [Technological approach in the design of the educational process at the university]. Vestnik Kostromskogo gosudarstvennogo universiteta im. N.A. Nekrasova. Seriia: Pedagogika. Psikhologiia. Sotsial'naia rabota. Iuvenologiia. Sotsiokinetika [Vestnik of Nekrasov Kostroma State University. Series: Pedagogy. Psychology. Social work. Juvenology. Sociokinetics], 2015, vol. 21, № 2, pp. 125–128. (In Russ.) Kliaklia M. Formirovanie tvorcheskoi matematicheskoi deiatel'nosti uchashchikhsia v klassakh s uglublennym izucheniem matematiki v shkolakh Pol'shi: dis. … d-ra ped. nauk [The formation of creative mathematical activity of students in classes with in-depth study of mathematics in schools in Poland]. Moscow, 2003, 285 p. (In Russ.) Kozyrev S.B., Sekovanov V.S. Formirovanie kreativnykh kachestv studentov vuza pri izuchenii piaterichnogo mnozhestva Kantora [The formation of creative qualities of university students in the study of the fivefold set of Cantor]. Vestnik Kostromskogo gosudarstvennogo universiteta im. N.A. Nekrasova [Vestnik of Nekrasov Kostroma State University], 2016, № 3, pp. 179–182. (In Russ.) Morozov A.V., Chernilevskii D.B. Kreativnaia pedagogika i psikhologiia: Uchebnoe posobie [Creative pedagogy and psychology]. Moscow, Akademicheskii Proekt Publ., 2004, 560 p. (In Russ.) Sekovanov V.S. Formirovanie kreativnoi lichnosti studenta vuza pri obuchenii matematike na osnove novykh informatsionnykh tekhnologii [The formation of the creative personality of a university student in teaching mathematics based on new information technologies]. Kostroma, KGU im. N.A. Nekrasova Publ., 2004, 279 p. (In Russ.) Sekovanov V.S. Metodicheskaia sistema formirovaniia kreativnosti studenta universiteta v protsesse obucheniia fraktal'noi geometrii [Methodological system for the formation of creativity of a university student in the process of learning fractal geometry]. Kostroma, KGU im. N.A. Nekrasova Publ., 2006, 279 p. (In Russ.) Sekovanov V.S., Babenko A.S., Selezneva E.M., Smirnova A.O. Vypolnenie mnogoetapnogo matematiko-informatsionnogo zadaniia “Diskretnye dinamicheskie sistemy”, kak sredstvo formirovaniia kreativnosti studentov [Performing a multi-stage mathematical-informational task “Discrete dynamic systems” as a means of creating students' creativity]. Vestnik Kostromskogo gosudarstvennogo universiteta im. N.A. Nekrasova [Vestnik of Nekrasov Kostroma State University], 2016, vol. 22, № 2, pp. 213–217. (In Russ.) Sekovanov V.S., Ivkov V.A., Piguzov A.A., Fateev A.S. Vypolnenie mnogoetapnogo matematiko-informatsionnogo zadaniia postroenie fraktal'nykh mnozhestv s pomoshch'iu L-sistem i informatsionnykh tekhnologii kak sredstvo formirovaniia kreativnosti studentov [Performing a multi-stage mathematical-informational task of constructing fractal sets using L-systems and information technologies as a means of creating students' creativity]. Moscow, Sovremennye informatsionnye tekhnologii i IT-obrazovanie Publ., 2016, № 12, pp. 118–125. (In Russ.) Sekovanov V.S., Fateev A.S., Dorokhova Zh.V. Vypolnenie mnogoetapnogo matematiko-informatsionnogo zadaniia “Algoritmy postroeniia attraktorov nelineinykh otobrazhenii” kak sredstvo formirovaniia kreativnosti studentov [Performing a multi-stage mathematical-informational task ‟Algorithms for constructing attractors of nonlinear mappings” as a means of creating students' creativity]. Vestnik Kostromskogo gosudarstvennogo universiteta im. N.A. Nekrasova [Vestnik of Nekrasov Kostroma State University], 2016, vol. 22, № 4, pp. 235–243. (In Russ.) Sekovanov V.S., Miteneva S.V., Rybina L.B. Vypolnenie mnogoetapnogo matematiko-informatsionnogo zadaniia Topologicheskaia i fraktal'nye razmernosti mnozhestv kak sredstvo razvitiia kreativnosti i formirovaniia kompetentnosti studentov [Performing a multi-stage mathematical-informational task. Topological and fractal dimensions of sets as a means of developing creativity and building students' competence]. Vestnik Kostromskogo gosudarstvennogo universiteta [Vestnik of Kostroma State University], 2017, № 5, pp. 140–144. (In Russ.) Sekovanov V.S., Ivkov V.A. Mnogoetapnoe matematiko-informatsionnoe zadanie “Strannye attraktory” [Multistage mathematical information task “Strange attractors”]. Vestnik Kostromskogo gosudarstvennogo universiteta im. N.A. Nekrasova [Vestnik of Nekrasov Kostroma State University], 2013, vol. 19, № 5, pp. 155,157. (In Russ.) Sekovanov V.S. Elementy teorii diskretnykh dinamicheskikh sistem: ucheb. posobie [Elements of the theory of discrete dynamical systems]. SPb., Lan' Publ., 2018, 180 p. (In Russ.) Sekovanov V.S. Elementy teorii fraktal'nykh mnozhestv: Uchebnoe posobie. [Elements of the theory of fractal sets]. Moscow, LIBROKOM Publ., 2015, 248 p. (In Russ.) Khutorskoi A.V. Razvitie odarennosti shkol'nikov [The development of gifted students]. Moscow, VLADOS Publ., 2000, 320 p. (In Russ.) Chebun'kina T.A., Katerzhina S.F., Sobashko Iu.A. Neobkhodimost' vkhodnogo kontrolia po matematike v vuze [The need for entrance control in mathematics at the university]. Vestnik Kostromskogo gosudarstvennogo universiteta. Seriia: Pedagogika. Psikhologiia. Sotsiokinetika [Vestnik of Kostroma State University. Series: Pedagogy. Psychology. Sociokinetics], 2019, № 3, pp. 217–221. (In Russ.) Intel “Obuchenie dlia budushchego” (pri podderzhke Microsoft) [“Learning for the future”]. Moscow, Russkaia redaktsiia Publ., 2004, 368 p. (In Russ.)
Author's info: Valery S. Sekovanov, Doctor of Pedagogical Sciences, Professor, Kostroma State University, Kostroma, Russia. E-mail: Sekovanovvs@yandex.ru
Co-author's info: Alexey A. Piguzov, Candidate of Pedagogical Sciences, Docent, Kostroma State University, Kostroma, Russia. E-mail: piguzov@ksu.edu.ru
Co-author's info: Svetlana F. Katerzhina, Candidate of Pedagogical Sciences, Docent, Kostroma State University, Kostroma, Russia. E-mail: svetakaterzhina@mail.ru
Co-author's info: Larisa B. Rybina, Candidate of Philosophical Sciences, Kostroma State Agricultural Academy, settlement Karavaevo, Russia. E-mail: larisa.rybina.2014@mail.ru