ON THE PRINCIPLES OF CONSTRUCTION OF METHODICAL SYSTEM IN GEOMETRY FOR THE CLASSES OF PHYSICAL AND MATHEMATICAL PROFILE BASED ON THE PROBLEM SOLVING APPROACH
The article examines the principles of construction of methodical system in geometry using problem solving approach, which acts simultaneously as a technology of solving geometric problems and as a way of design the system of challenging problems, focused on students mastering the mathematical activity. We consider and resolve two contradictions: between modern approaches to teaching mathematics as a process of learning mathematical activity and their lack of implementation of the methods of teaching geometry at profile level; between the objective necessity of designing educational process to teach geometry creatively and the lack of appropriate methodological training system. We discuss some features of problems, create in the student environment for positive motivation and ensure the formation of students’ independent thinking. We also consider the examples of challenging problems with solutions.
Keywords: methodical system of training, problem solving approach, mathematical thinking, mathematical activity, specialized education, challenging problems
References:
1. Rasporyazhenie pravitel’stva RF ot 24.12.2013 № 2506-r “Ob utverzhdenii Kontseptii razvitiya matematicheskogo obrazovaniya v Rossiyskoy Federatsii” 2013. 24 dekabrya [Russian Federation Government Decree of 24.12.2013 no. 2506-r “On Approval of the Concept of development of mathematics education in the Russian Federation”]. URL: http://www.garant.ru/products/ipo/prime/doc/70452506/#16 (accessed 25 November
2014) (in Russian).
2. Polia D. Mathematical discovery. Vols 1&2, John Wiley&Sons, 1981. 220 p. (Russ. Ed.: Poya D. Matematicheskoye otkrytiye: per. s angl. Moscow, Nauka Publ., 1976. 452 p.)
3. Ball G. A. Teoriya uchebnykh zadach: psikhologo-pedagogicheskiy aspect [The theory of learning tasks: Psychological and pedagogical aspects]. Moscow, Pedagogika Publ., 1990. 184 p. (in Russian).
4. Davydov V. V. Psikhologicheskaya teoriya uchebnoy deyatel’nosti i metodov nachal’nogo obucheniya, osnovannykh na soderzhatel’nom obobshchenii [Psychological theory of learning activities and methods of primary education, based on meaningful generalizations]. Tomsk, Peleng Publ., 1992. 115 p. (in Russian).
5. Davydov V. V., Markova A. K. Kontseptsiya uchebnoy deyatel’nosti shkol’nikov [The concept of learning activities of students]. Voprosy psikhologii – Questions of Phsychology, 1981, no. 1, pp. 13–26 (in Russian).
6. El’konin D. B. Izbrannye psikhologicheskie trudy [Selected psychological works]. Moscow, Pedagogika Publ., 1989. 560 p. (in Russian)
7. Bukharova G. D. Osnovnye ponyatiya teorii resheniya zadach i teorii obucheniya resheniyu zadach [The basic concepts of the theory of problem solving and learning theory problem solving]. Obrazovanie i nauka – Education and scince, 2011, no. 3 (82), pp. 44–58 (in Russian).
8. Wertheimer M. Productive thinking. New York, Harper, 1945. 224 p. (Russ. Ed.: Vertgeimer M. Produktivnoye myshleniye: per. s angl. Moscow, Progress Publ., 1987. 336 p.)
9. Kalmykova Z. I. Produktivnoe myshlenie kak osnova obuchaemosti [Productive thinking as a basis of learning]. Moscow, Pedagogika Publ., 1981. 200 p. (in Russian)
10. Sarantsev G. I. Metodologiya metodiki obucheniya matematike [The methodology of teaching mathematics]. Saransk, Krasny Oktyabr’ Publ., 2001. 144 p. (in Russian)
11. Kalinin A. Yu., Tereshin D. A. Geometriya. 10–11 klassy [Geometry. 10–11 classes]. Moscow, MTSNMO Publ., 2011. 640 p. (in Russian)
12. Kalinin A. Yu., Tereshin D. A. Sbornik zadach po geometrii. 10–11 klassy [Problems in Geometry. 10–11 classes]. Moscow, MTSNMO Publ., 2011. 160 p.
13. Tereshin D. A. Razvitie matematicheskogo myshleniya uchashchikhsya v protsesse obucheniya kursu stereometrii v klassakh fi zikomatematicheskogo profi lya [Development of mathematical thinking of students in solid geometry course in the classes of physical and mathematical profi le]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta – TSPU Bulletin, 2013, vol. 4 (132), pp. 51–55 (in Russian).
Issue: 1, 2015
Series of issue: Issue 1
Rubric: TEACHING NATURAL SCIENCES
Pages: 72 — 79
Downloads: 909