pp. 221-229 | Article Number: mathedu.2015.017
Published Online: December 12, 2015
Article Views: 411 | Article Download: 507
The aim of modern vocational education is the development the individual who is flexible enough to adapt to changing situations, is able to independently acquire the necessary knowledge, and the skill to put them into practice to address a variety of emerging issues. The future specialist should think critically, be able to see emerging real world problems, and to look for rational solutions. He must work competently with information, have abilities to collect the necessary facts in order to solve a particular problem, analyze them, and make reasonable conclusions. This article deals with the development of mathematics teachers’ constructive skills during the process of their methodological training, which is closely connected to the informational, explicating, and stimulating functions of a teacher. The article describes features of the constructive skills. The specificity is revealed and definition is given to the key concept of the research, namely “constructive skills”. This paper deals with the forms and methods of the mathematics teachers’ constructive skills development. The article presents the results of experimental work on the mathematics teachers’ constructive skills development. The materials of this article may be of use to those who are interested in the research of methodology of mathematics teachers’ skills training and to the instructors teaching mathematics at different educational establishments.
Keywords: teaching mathematics, constructive skills, concept research
Astakhova, N.A. (2009). Methods of teaching future mathematics teachers of drafting tasks. Doctoral dissertation. Volgograd.
Ball, G.A. (1990). The theory of learning tasks: Psycho-pedagogical aspect. Moscow: Pedagogika.
Biktagirova, G.F., & Valeeva, R.A. (2014). Development of the teachers' pedagogical reflection. Life Science Journal, 11(9s),60-63.
Boltyanskii, V.G., & Hochberg, I.Ts. (1965). Theorems and problems of combinatorial geometry. Moscow: Nauka.
Buslaev, A. (2002). Methodological basis of tasks selection in mathematics for high school students of different profiles of training. Doctoral dissertation. Moscow: MPSU.
Buzulina, T.I. (2002). Vague tasks in the training of future mathematics teachers. Doctoral dissertation. Rostov-on-Don: VSPU.
Choshanov, M.A. (1996). Flexible technology of problem-modular education. Moscow: Naronoye obrazovanie
Choshanov, M.A. (2011). Didactics and Engineering. Moscow: BINOM.
Davydov, V.V. (1966). The theory of developmental education. Moscow: INTOR.
Dorofeev, G.V. (1983). On drawing the cycles of interrelated tasks. Mathematics in school, 3, 34-38.
Dyumina, T.Y. (2006). The substantial component of methodical system of the future mathematics teachers training to design tasks systems. Doctoral dissertation. Volgograd.
Egulemova, N.N. (2003). Modification of geometric problems as means of the development of the basic school pupils’ cognitive interests. Doctoral dissertation. Orel: OSU.
Episheva, O.B. (1997). General methods of teaching mathematics in high school Tobolsk: TGPI named after D.I. Mendeleev.
Erdniev, P.M. (1965). Technique of exercises on arithmetic and algebra. Moscow: Prosvescheniye.
Erdniev, P.M. (1992). Integration of didactic units as training technology. Moscow: Prosvescheniye.
Friedman, L.M., & Turetskiy, E.N. (1989). How to learn to solve tasks. Moscow: Prosvescheniye.
Georgiev, V. (1988). Experience of activation schoolchildren based on the use task cycles. Mathematics in school, 1, 77-78.
Gurova, L.L. (1976). Psychological analysis of tasks solving. Voronezh: Voronezh State University.
Halperin, P.J. (1966). Psychology of thinking and teaching about the gradual formation of mental actions. In: Studies of thinking in Soviet psychology. Moscow: Nauka.
Kalinkina, T.M. (1995). Dynamic tasks as means of improving the process of teaching geometry in high school. Doctoral dissertation. Saransk: MSPI named after M.E. Evseviev
Kolmogorov, A.N. (Ed.) (2004). Algebra and analysis. The textbook for 10-11 classes of educational institutions. Moscow: Prosvescheniye.
Kolyagin, Y.M. (1977). Tasks in teaching mathematics. Moscow: Prosvescheniye.
Kononenko, N.V. (2002). Tasks system as means of pupils’ constructive abilities formation while studying a school course of plane geometry. Doctoral dissertation. Chita: ZSPU.
Kovaleva, G.I. (2012). Methodical system of training of future mathematics teachers to design tasks systems. Doctoral dissertation. Volgograd: VSSPU.
Krupich, V.I. (1995). Theoretical basis of training to solve mathematical tasks. Moscow: Prometey.
Kulyutkin, Y.N. (1971). Individual differences in mental activity of adult learners. Moscow: Pedagogika.
Kuzmina, N.V. (1985). Abilities, giftedness, and talent of a teacher. Leningrad: Znanie.
Lerner, I.J. (1981). Didactic bases of training methods. Moscow: Pedagogika.
Levashov A.M. (2003). Multi-level tasks as means differentiated instruction in small classes [in Physics lessons at the village school]. Physics in the school, 1, 30–32.
Lyapin, S.E. (Ed.) (1965). Methods of teaching mathematics in the 8-year school. Moscow: Prosvescheniye.
Makhmutov, M.I. (1975). Problem teaching: the basic questions of the theory. Moscow: Pedagogika.
Markova, A.K. (1993). Psychology of teacher’s labor. Moscow: Prosvescheniye.
Matyushkin, A.M. (1972). Problem situations in thinking and learning. Moscow: Pedagogika.
Metel'skii, N.V. (1982). Didactics of Mathematics: General procedure and its problems. Minsk: Publishing house of BSU.
Mishin, V.I. (Ed.) (1993). Practice on teaching mathematics at high school. Moscow: Prosvescheniye.
Mitina, L.M. (1994). The teacher as a person and a professional. Moscow: Delo.
Mordkovich, A.G. (1986). Professional and pedagogical orientation of special training of mathematics teacher at the Pedagogical Institute. Moscow: Moscow State Pedagogical Institute.
Muravin, G.K. (1988). The principle of building a system of exercises on algebra in junior high school. Doctoral dissertation. Moscow.
Okon’, V. (1968). Basics of problem-based learning. Moscow: Prosvescheniye.
Orlyanskaya, O.N. (2004). Technique of the future mathematics’ teacher’s skills to design tasks systems formation. Doctoral dissertation. Volgograd.
Sarantsev, G.I. (2005). Exercises in teaching mathematics. Moscow: Prosvescheniye.
Slastenin, V.A., & Podymova, L.S. (1997). Pedagogy: innovative activity. Moscow: Magistr.
Zagvyazinsky, V.I. (1982). Methodology and methods of didactic study. Moscow: Pedagogika.