8/2017 vol. 13
Stats
CC-BY 4.0
Get citation
Formation of Schoolchildren’s Creative Activity on the Final Stage of Solving a Mathematical Problem
Natalia A. Zelenina 1
,
 
Anvar N. Khuziakhmetov 2
 
 
 
More details
Hide details
1
Vyatka State University, Russia.
 
2
Kazan (Volga region) Federal University, RUSSIA
 
 
Online publication date: 2017-06-29
 
 
Publication date: 2017-06-29
 
 
Corresponding author
Natalia A. Zelenina   

Department of Fundamental and Computer Mathematics, Vyatka State University, Kirov, Russia. Address to 36 Moscovskaya Street, Kirov City 610000, Russia. Tel: +7 (912) 712-38-01.
 
 
EURASIA J. Math., Sci Tech. Ed 2017;13(8):4393-4404
DOI: https://doi.org/10.12973/eurasia.2017.00934a
 
 
Article (PDF)
References (45)
 
KEYWORDS
mathematical problem
signs of creative activity
the formation of creative activity
 
ABSTRACT
The aim of the research is to study the possibilities of the final stage of working with a mathematical problem as a means of forming schoolchildren’s creative activity. The leading method of investigating this problem is to establish the correspondence between the components of the final stage of working with the mathematical problem and the procedural features of the student’s creative activity. The study resulted in defining the structure of the final stage of working with a mathematical problem, which made it possible to identify a certain set of activities that make up the ability to work with the problem on the final stage of its solution. The article establishes the relationship between actions appropriate to this stage of work with the task and signs of the student’s creative activity. It is proved that in the process of working with the problem on the final stage of its solution, students develop procedural features of creative activity. The author's method of forming students’ creative activity suggested in the article can be used by the teachers of mathematics in school practice, by the authors of methodological manuals for students and teachers, and also can be used as the basis for a special course for students of pedagogical universities.
REFERENCES (45)
1.
Adamar, J. (1970) Investigation of the psychology of the invention process in the field of mathematics. Moscow: Sov. Radio.
Google Scholar
 
 
2.
Aksyutina I. V., & Shuklina, Y. A. (2014). Problems of forming creative activity in teaching mathematics in the practice of school training. Primo Aspectu, 19(24) (151), 183-185.
Google Scholar
 
 
3.
Aksyutina, I. V., & Shuklina, Y. A. (2013) Forming creative activity in teaching mathematics with using illustrative and practical works. Engineering and construction bulletin of the Caspian Region, 2(3-6), 77-79.
Google Scholar
 
 
4.
Artemov, A. K. (1973). On heuristic methods for teaching geometry in school. Mathematics in school, 6, 25-29.
Google Scholar
 
 
5.
Azarova, T. G. (2012). Entertaining tasks as a means of forming creative activity of junior schoolchildren in teaching mathematics. Works of Young Scientists of Altai State University, 9, 304-306.
Google Scholar
 
 
6.
Bahar, A., & Maker, C. J. (2015). Cognitive Backgrounds of Problem Solving: A Comparison of Open-ended vs. EURASIA Journal of Mathematics, Science and Technology Education, 11(6), 1532-1546. doi:10.12973/eurasia.2015.1410a.
CrossRef
 
Google Scholar
 
 
7.
Balk, G. D. (1969). On using heuristic techniques in the school teaching of mathematics. Mathematics in School, 5, 21-28.
Google Scholar
 
 
8.
Collis, K. F., Watson, J. M., & Campbell, K. J. (1993) Cognitive functioning in mathematical problem solving during early adolescence Math Ed Res J., 5, 107-121. doi:10.1007/BF03217190.
CrossRef
 
Google Scholar
 
 
9.
Czarnocha, B., & Dias, P. (2016) The Creative Enterprise of Mathematics Teaching Research. Rotterdam.
Google Scholar
 
 
10.
Gnedenko, B. V. (1979). On mathematical creativity. Mathematics in school, 6, 16-22.
Google Scholar
 
 
11.
Gorbacheva, N. V. (2001). Method of analogy as a means of developing creative thinking of students when teaching them elements of spherical geometry: Dis. cand. ped. sciences. Omsk.
Google Scholar
 
 
12.
Gorev, P. M., & Rakhmatullina A. O. (2016). Training creative thinking for 5th and 6th grades in the educational strategy of the continuous formation of schoolchildren’s creative thinking. Scientific and methodical electronic magazine “Concept”, 26. http://e-koncept.ru/2016/76339....
Google Scholar
 
 
13.
Gorev, P. M. (2011). Introducing schoolchildren to the experience of creative activity in mathematics through a system of tasks realizing integrative connections. Scientific and methodical electronic magazine "Concept", 2. http://e-koncept.ru/2011/11201....
Google Scholar
 
 
14.
Gorev, P. M. (2011) Types of educational activity of schoolchildren and introduction to creativity in extracurricular work in mathematics. Scientific and methodical electronic journal “Concept”, 1, 7-11.
Google Scholar
 
 
15.
Gorev, P. M. (2012) Imparting mathematical creativity: additional mathematical education. Saarbrucken: Lambert Academic Publishing.
Google Scholar
 
 
16.
Goryaev, N. A. (1997) Developing creative activity of students in teaching mathematics in secondary school in the system of enlarged didactic units. Dis. cand. ped. sciences. Moscow.
Google Scholar
 
 
17.
Kablan, Z., & Kaya, S. (2013) Science achievement in TIMSS cognitive domains based on learning styles. Eurasian Journal of Educational Research (EJER), 97-114.
Google Scholar
 
 
18.
Kharitonova, I. V. (2015) Activating the creative potential of students using Web-technologies in teaching mathematics. Web-technologies in the educational space: problems, approaches, perspectives: a collection of articles of the participants of the International Scientific and Practical Conference. N. Novgorod: Rastr-NN, 341-347.
Google Scholar
 
 
19.
Kolyagin, Y. M. (1977). Problems in teaching mathematics. Part Ι. Moscow: Education.
Google Scholar
 
 
20.
Krupich, V. I. (1995) .Theoretical foundations of teaching the solution of school mathematical problems. Moscow: Prometey.
Google Scholar
 
 
21.
Kuznetsova, E. V. (1997). Entertaining tasks as a means of forming creative activity of students in 5-6 grades in teaching mathematics. Dis. cand. ped. sciences. Moscow.
Google Scholar
 
 
22.
Laboratory and practical works on the methods of teaching mathematics. (1988). E. I. Lyashchenko, K. V. Zobkov, T. F. Kirichenko at al. Moscow: Education.
Google Scholar
 
 
23.
Lerner, I. Y. (1974) Problem training. Moscow: Knowledge.
Google Scholar
 
 
24.
Liljedahl, P., Santos-Trigo, M., Malaspina, U. & Bruder, R. (2016). Problem Solving in Mathematics Education. Hamburg.
Google Scholar
 
 
25.
Maslova, S. V. (1996). Problems on the search of regularities as a means of forming creative activity of younger schoolchildren in teaching mathematics. Dis. cand. ped. sciences. Saransk.
Google Scholar
 
 
26.
Napalkov, S. V., & Guseva, N. V. (2014). Web-technologies as pedagogical forms of familiarizing schoolchildren with creativity in the process of teaching mathematics. Modern Problems of Science and Education, 6, 768-774.
Google Scholar
 
 
27.
Novoselov, S. A., & Kochnev, V. P. (2012). Conditions for the development of creative abilities of students in the process of teaching mathematics in the classes of the science profile. Pedagogical Education in Russia, 1, 58-66.
Google Scholar
 
 
28.
Poya, D. (1991) How to solve the problem. Lvov: Quantor.
Google Scholar
 
 
29.
Rosa, M., & Orey, D. C. (2012). A modelagem como um ambiente de aprendizagem para a conversão do conhecimento matemático. Bolema: Boletim de Educação Matemática, 26(42a), 261-290. doi:1590/S0103-636X2012000100012.
CrossRef
 
Google Scholar
 
 
30.
Santos, J. G., & Silva, J. N. D. (2016). A Influência da Cultura Local no Processo de Ensino e Aprendizagem de Matemática numa Comunidade Quilombola. Bolema: Boletim de Educação Matemática, 30(56), 972-991. doi://10.1590/1980-4415v30n56a07.
Google Scholar
 
 
31.
Sarantsev, G. I. (1995). Exercises in teaching mathematics. Moscow: Prosveshcheniye.
Google Scholar
 
 
32.
Sarantsev, G. I. (2002). Methods of teaching mathematics in secondary school. Moscow: Prosveshcheniye, 224 p.
Google Scholar
 
 
33.
Schwartzman, Z. O. (1987). Developing creative abilities of students at extracurriculum lessons of mathematics. Educating pupils while training in mathematics. Moscow: Prosveshchenie, 170-173.
Google Scholar
 
 
34.
Semenov, E. E. (1995). Reflections on heuristics. Mathematics in school, 5, 39-43.
Google Scholar
 
 
35.
Shvartsburd, S. I. (1964). On the development of students’ interests, inclinations and abilities to mathematics. Mathematics in school, 6, 32-37.
Google Scholar
 
 
36.
Sullivan, P., & Clarke, D. Problem solving with conventional mathematics content: Responses of pupils to open mathematical tasks. Math Ed Res J., 4, 42-60. doi:10.1007/BF03217231.
CrossRef
 
Google Scholar
 
 
37.
The Concept of the development of mathematical education in the Russian Federation (2013). Rossiyskaya Gazeta. http://www.rg.ru/2013/12/27/ma....
Google Scholar
 
 
38.
The concept of the structure and content of general secondary education (in a 12-year school). (2000). Mathematics in school, 2, 6-13.
Google Scholar
 
 
39.
Trinchero, R., & Sala, G. (2016) Chess Training and Mathematical Problem-Solving: The Role of Teaching Heuristics in Transfer of Learning. EURASIA Journal of Mathematics, Science and Technology Education, 12(3), 665-668. doi:10.12973/eurasia.2016.1255a.
CrossRef
 
Google Scholar
 
 
40.
Tyuina, N. S. (2003). Forming analysis through synthesis as a technique of creative activity of younger schoolchildren in teaching mathematics. Dis. cand. ped. sciences. Penza.
Google Scholar
 
 
41.
Weber, K., Radu, I., Mueller, M. et al. (2010). Expanding participation in problem solving in a diverse middle school mathematics classroom Math Ed Res J., 22, 91-118. doi:10.1007/BF03217560.
CrossRef
 
Google Scholar
 
 
42.
Zelenina, N. A. (1998). Creative activity of students in modern educational concepts. Humanization and humanitarization of mathematical education in the school and university. Saransk: Mordovia State Pedagogical Institute, 50-52.
Google Scholar
 
 
43.
Zelenina, N. A. (2004). The final stage of solving geometric problems in the main school. Dis. cand. ped. sciences. Kirov.
Google Scholar
 
 
44.
Zelenina, N. A. (2005). The structure of the final stage of solving mathematical problem. Mathematical bulletin of pedagogical institutes and universities of Volga-Vyatks region, 7, 205-214.
Google Scholar
 
 
45.
Zelenina, N. A. (2006). Teaching students to work planimetric problem on the last stage of its solving. Mathematical bulletin of pedagogical institutes and universities of Volga-Vyatks region, 8, 205-214.
Google Scholar
 
 
Share
Send by email
RELATED ARTICLE
Implementing the Final Stage of Working with the Planimetric Problem While Teaching as a Means of Improving Geometry Knowledge of Schoolchildren
Indexes
 
Keywords index
Topics index
Authors index
eISSN:1305-8223
ISSN:1305-8215
Journals System - logo
© 2006-2024 Journal hosting platform by Bentus
Scroll to top