UDC: 
374+372.016:51
Ammosova Nadegda Vasilevna
Доктор педагогических наук, Dr. Sci. (Pedag.), Academician of the International Academy of Sciences of pedagogical education, Professor of the Department of Mathematics of the Astrakhan State University, Astrakhan State University, n_ammosova@mail.ru, Astrakhan
Lobanova Natalia Ivanovna
Additional qualification courses teacher Center of extracurricular activities, Center of extracurricular activities, lobantchik@yandex.ru, Zelenokumsk

SOLUTION OF THE UNCERTAIN EQUATIONS OF THE FIRST DEGREE WITH TWO UNKNOWN IN SYSTEM OF ADDITIONAL EDUCATION

Abstract: 
The problem of training of pupils at the solution of one of types of incorrect tasks, namely, of tasks with the equation with more, than one unknown is considered. Within compulsory school education the insufficient attention is paid to such tasks while such tasks are set most often for us by reality. Therefore it is expedient to be engaged in the solution of incorrect tasks on occupations with pupils in system of additional education. The main objectives of mathematical additional education are formulated, the need in use of the praktiko-focused tasks which illustrate the importance of applied character of mathematics is noted. As the main method the method of mathematical modeling is chosen. The technique of the training of teenagers for the decision of specified tasks is described, examples are given.
Keywords: 
practice-oriented problems, mathematical modeling, additional education, Diophantine equations.
Please register
References: 

1. Ammosova, N. V., 2005. Nekotoryje aspekty podgotovki uchitelej matematiki k rabote v sisteme dopolnitelnogo obrazovanija chkolnikov [Some aspects of the preparation of mathematics teachers to work in the system of additional education]. Nauka Kubani [Science of Kuban], 2, pp. 174–179 (in Russ., abstr. in Eng.).
2. Ammosova, N. V., 2015. Metodiko-matema-icheskaja podgotovka buduschih uchitelej matematiki v sootvetstvii s zadachami sovremennosti [Teaching mathematics future mathematics teachers in accordance with the objectives of our time]. Astrakhan: AIPKP Publ., 256 p. (in Russ.).
3. Ammosova, N. V., Kovalenko, B. B., 2005. Integracija dejatelnosti obsheobrazovatelnyh shkol i uchrezhdenij dopolnitelnogo obrazovanija kak factor aktivizatsii protsessov obuchenija i vospitani-ja shkolnikov [Integrating secondary schools and institutions of additional education as factor of ac-tivization of processes of education and upbringing of schoolchildren]. Vserossiyskaya konferentsiya “Problemy matematiki, informatiki, fiziki i himii” [Problems of mathematics, Informatics, physics and chemistry. Proc. conf.]. Moscow: RUDN Publ., pp. 55–56 (in Russ.).
4. Ammosova, N. V., Kovalenko B. B., 2014. Obuchenije uchaschihsja resheniju zadach, dopuskajuschih neodnoznachnuju traktovku uslovij. Guman-itarnoye i estestvenno-nauchnoje obrazovanije [Education of students solving problems, allowing more than one interpretation of the conditions. Natural and Social Science Education]. Matematika. Kompyuter. Obrazovaniye [Mathematics. A computer. Education: Coll. scientific. works]. Мoscow; Izhevsk: “Regular and Chaotic Dynamics”, 2, pp. 5–10 (in Russ.).
5. Kryukovа, V. L., 2005. Integracija algebra-icheskogo i geometricheskogo metodov resheni-ja uravnenij i neravenstv v klassah s uglublennym izuchenijem matematiki [The integration of algebraic and geometric methods for solving equations and inequalities in classes with in-depth study of mathematics]. Cand. Sci. (Pedag.). Orel, 20 p. (in Russ.).
6. Kudryavtsev, L. D., 1977. Mysli o sovremen-noj matematike i jejo izuchenii [Thoughts of modern mathematics and its study]. Moscow: Science, 112 p. (in Russ.).
7. Shapiro, I. M., 1990. Ispolzovanije zadach s prakticheskim soderzhanijem v prepodavanii matematiki: kniga dlya uchitelja [Using tasks with practical content in teaching mathematics: teacher’s Book]. Moscow: Education, 96 p. (in Russ.).
8. Izvorska, D., Kovalenko, B. B., Ammosova, N. V., 2008. Ispolzovanije myislitelnyh operacij kak bazy sinergeticheskogo podhoda pri obuchenii matematike [The use of mental operations as the basis of a synergistic approach in teaching mathematics]. Education, science and economics at universities, integration to international educational area: International conference. – Plock, Poland, pp. 246–250.
9. Burden, P. R., Byrd, D. M., 1999. Methods for Effective Teaching. Boston-London: Allyn and Bacon, 418 p.