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Home Issues 2015 Year Issue №7 ELEMENTARY NUMBER THEORY PROBLEMS AS A COMPONENT OF CONTENT OF MODERN MATHEMATICS TEACHER PREPARATION
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Яндекс.Метрика

ELEMENTARY NUMBER THEORY PROBLEMS AS A COMPONENT OF CONTENT OF MODERN MATHEMATICS TEACHER PREPARATION

Volkova T.S.

Information About Author:

Elementary number theory as a school mathematics section is an essential part of professional preparation of a mathematics teacher. It’s explained by the fact that elementary number theory is a part of general secondary education programme both at basic and profile levels; problems in elementary number theory have considerable educational and teaching potential, and for their solution various methods of school mathematics are used. The paper is devoted to the role of elementary number theory as a component of professional preparation of a modern mathematics teacher in the context of competence approach. The author proves the necessity of including in the content of a mathematics teacher’s professional subject competence readiness to solve theory number problems using elementary mathematics methods (school mathematics methods). Clarifies the requirements for the ability to solve problems in elementary number theory.

Keywords: professional subject competence of mathematics teacher; elementary number theory; methods of mathematical problems solving

References:

1. Kozyrev V. A., Radionova N. F., Tryapitsyna A. P. Kompetentnostnyy podkhod v pedagogicheskom obrazovanii: kollektivnaya monografiya [Competence approach to pedagogical education. Multi-author book]. Pod. red. prof. V. A. Kozyreva, prof. N. F. Radionovoy, prof. A. P. Tryapitsynoy. SPb., RGPU im. A. I. Gertsena Publ., 2008. 391 p. (in Russian).

2. Stefanova N. L., Ponomarchuk O. S. K postanovke problemy formirovaniya predmetnoy kompetentnosti sovremennogo uchitelya matematiki [On a problem of forming of subjective competence of a modern mathematics teacher]. Problemy teorii i praktiki obucheniya matematike: sb. nauch. st., predstavlennykh nf Mezhdunarodnoy nauch. konf. “58-e Gertsenovskiye chteniya” [Theoretical and practical problems of mathematical education: Collection of scientific papers, presented at the Intern. scientific. Conf. “LVIII Herzen readings”]. St. Petersburg, RGPU im. A. I. Gertsena Publ., 2005. Pp. 35–38 (in Russian).

3. Stefanova N. L. Kompetentnost’ sovremennogo uchitelya matematiki i puti ee formirovaniya v protsesse metodicheskoy podgotovki v vuze [Competence of modern mathematics teacher and ways of its forming in course of methodical preparation in a higher educational establishment]. Problemy teorii i praktiki obucheniya matematike: sb. nauch. st., predstavlennykh nf Mezhdunarodnoy nauch. konf. “56-e Gertsenovskiye chteniya” [Theoretical and practical problems of mathematical education: Collection of scientific papers, presented at the Intern. scientific. conf. “LVI Herzen readings”]. St. Petersburg, RGPU im. A. I. Gertsena Publ., 2003. Pp. 14–18 (in Russian).

4. Federal’nyy obrazovatel’nyy standart obshchego srednego (polnogo) obrazovaniya [Federal state educational standard of general secondary (complete) education]. URL: http: // standart. edu. ru. – Doc. (accessed 26 January 2013) (in Russian).

5. Vinogradov I. M. Elementarnaya teoriya chisel. Matematicheskaya entsiklopediya [Elementary number theory. Mathematical encyclopedia]. Moscow, Sovetskaya entsiklopediya Publ, 1985. Vol. 5. P. 996 (in Russian).

6. Primernaya programma osnovnogo obshchego obrazovaniya po matematike [Tentative programme of basic general mathematical education]. URL: http://standart.edu.ru/catalog.aspx? CatalogId=2629 (accessed 26 January 2013) (in Russian).

7. Vysotskiy E. R., Gushchin D. D., Zakharov P. I. YEGE 2010. Matematika. Samoye polnoye izdaniye tipovykh variantov real’nykh zadaniy [Unified state examination. 2010. Mathematics. The most complete collection of real tasks.]. Moscow, AST “Astrel'” Publ., 2010. 88 p. (in Russian).

8. Yashchenko I. V. Yedinyy gosudarstvennyy ekzamen. Matematika. Bazovyy uroven’. Tipovyye ekzamenatsionnyye varianty. 30 variantov. FIPI [Unified state examination. Mathematics. Basic level. Typical exam tests. 30 tests]. Moscow, Natsionalnoye obrazovaniye Publ., 2010. 88 p. (in Russian).

9. Analiticheskiy otchet o provedenii yedinogo ekzamena po matematike za 2010 [Analysis report on holding a unified mathematics examination in 2010]. URL: http: // www. fipi. ru. – pdf (accessed 10 September 2012) (in Russian).

10. Analiticheskiy otchet o provedenii yedinogo ekzamena po matematike za 2011 [Analysis report on holding a unified mathematics examination in 2011]. URL: http: // www. fipi. ru. – pdf (accessed 10 September 2012) (in Russian).

11. Analiticheskiy otchet o provedenii yedinogo ekzamena po matematike za 2012 [Analysis report on holding a unified mathematics examination in 2012]. URL: http: // www. fipi. ru. – pdf (accessed 10 September 2012) (in Russian).

12. Analiticheskiy otchet o provedenii yedinogo ekzamena po matematike za 2013 [Analysis report on holding a unified mathematics examination in 2013]. URL: http: // www. fipi. ru. – pdf (accessed 08 September 2013) (in Russian).

13. Analiticheskiy otchet o provedenii yedinogo ekzamena po matematike za 2014 [Analysis report on holding a unified mathematics examination in 2014]. URL: http: // www. fipi. ru. – pdf (accessed 15 September 2014) (in Russian).

14. Dzhukich D. Zadacha № 109744 [Problem no 109744]. URL: http://www.problems.ru // http://www.problems.ru/view_problem_details_new.php?id=109744 (accessed 10 May 2013) (in Russian).

15. Zvavich L. I. Algebra. 8 klass. Zadachnik [Algebra for 8 year students. Problem book]. Moscow, 2008. 271 p. (in Russian).

16. Osipova L. A. Vneauditornaya samostoyatel’naya rabota studentov – budushchikh uchiteley matematiki v protsesse obucheniya teorii chisel v pedvuze kak usloviye formirovaniya ikh predmetnoy kompetentnosti: Dis. kand. ped. nauk [Extracurricular independent work of students – future mathematics teachers in the process of teaching the number theory in a pedagogical higher education establishment as a term of forming their subjective competence. Thesis of cand. ped. sci.]. Novokuznetsk, 2006. 195 p. (in Russian)

volkova_t._s._85_89_7_160_2015.pdf ( 311.58 kB ) volkova_t._s._85_89_7_160_2015.zip ( 304.96 kB )

Issue: 7, 2015

Series of issue: Issue 7

Rubric: VOCATIONAL TRAINING AT HIGHER EDUCATIONAL INSTITUTION

Pages: 85 — 89

Downloads: 1403

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