**Commenced**in January 2007

**Frequency:**Monthly

**Edition:**International

**Paper Count:**31093

##### Motivational Orientation of the Methodical System of Teaching Mathematics in Secondary Schools

**Authors:**
M. Rodionov,
Z. Dedovets

**Abstract:**

The article analyses the composition and structure of the motivationally oriented methodological system of teaching mathematics (purpose, content, methods, forms, and means of teaching), viewed through the prism of the student as the subject of the learning process. Particular attention is paid to the problem of methods of teaching mathematics, which are represented in the form of an ordered triad of attributes corresponding to the selected characteristics. A systematic analysis of possible options and their methodological interpretation enriched existing ideas about known methods and technologies of training, and significantly expanded their nomenclature by including previously unstudied combinations of characteristics. In addition, examples outlined in this article illustrate the possibilities of enhancing the motivational capacity of a particular method or technology in the real learning practice of teaching mathematics through more free goal-setting and varying the conditions of the problem situations. The authors recommend the implementation of different strategies according to their characteristics in teaching and learning mathematics in secondary schools.

**Keywords:**
Education,
Teachers,
secondary school,
methodological system,
students motivation,
teaching of mathematics,
lesson

**Digital Object Identifier (DOI):**
doi.org/10.5281/zenodo.3298661

**References:**

[1] V. P. Bespalko, The terms of pedagogical technology. M.: Pedagogy, 1989.

[2] N. N. Khramova, & M. A. Rodionov. The model of motivationally oriented educational environment. Bulletin of Penza State University. 2015, (1), pp. 66-73.

[3] V. S. Lednev, The content of education: the essence, problems, structure. M .: Pedagogy, 1995.

[4] I. Y. Lerner, The learning process. -M .: Knowledge, 1980.

[5] M. A. Rodionov. Motivation of the Teaching of Mathematics: from Theoretical Comprehension to Practical Implementation. Saarbrücken (Germany): Palmarium Academic Publishing, 2012.

[6] G. I. Sarantsev, The methods of teaching mathematics. Saransk: Kras. Oct., 2001.

[7] L. Hjelle, & D. Ziegler, Personality Theories: Basic Assumptions, Research, and Applications. 3th ed.: McGrow-Hill, 1992.

[8] G. G. Levitas, The methods of teaching. M .: Higher education. 1989.

[9] M. A. Rodionov, & Z. Dedovets, The Formation of Motivational Sphere for Learning Activity under Conditions of Change of One of Its Leading Components'. International Journal of Social, Education, Economics and Management Engineering, 2015, 9(4), pp. 999 - 1003.

[10] M. V. Clarin, Innovations in world pedagogy. Riga: NPC "Experiment", 1995.

[11] H. Heckhausen, Motivation und Handeln. Springer-Verlag. Berlin: Heidelberg, 2010.

[12] C. Yakimanskaya, Student-oriented education in the modern school. Moscow: September, 2002.T. Chernetskaya, M. Rodionov, Interactive learning environments as a means of the formation of students research activity. Informatics and education. (2014). 3, pp. 36-41

[13] V. G. Leontiev, Psychological mechanisms of motivation of teaching activity. Novosibirsk, NSPI, 1987.

[14] M. Gardner, Perplexing Puzzles and Tantalizing Teasers. New York: Dover Publications, 1988.

[15] A. V. Pogorelov, Geometry textbook for 7th-11th grades. M.: Education, 1992.

[16] L. S. Atanasyan, V. F. Butuzov, & S.B. Kadomtsev. Geometry textbook for 7th-9th grades. M .: Education, 1994.

[17] G. Polya, How to solve it. Princeton University Press, 2nd ed., 1975.

[18] I. V. Akimova, M. A. Rodionov, N.N. Khramova, E. I. Titova, A.Y. Behter, O. M. Gubanova, & P.G. Pichugina, Studying the Elements of "Fuzzy Mathematics" Within Subject Training For Pedagogical Students of the Informatics Profile. International Journal of Humanities and Cultural Studies, 2016, August (Special Issue), pp. 263-270.

[19] B. B. Armbruster, & T.H. Anderson, Textbook analysis. International encyclopedia of education. Oxford, 1985, Vol. 9.pp. 5219–5223.

[20] G. Dorofeev, Principles and standards for school mathematics. Mathematics in school. 1990, 6. pp. 2 – 5.

[21] S. R. Kogalovsky, The way to understand the concept (from intuitive to rigor). Ivanovo: IPK, 1998.

[22] A. Rényi in: A Trilogy on mathematics; Russ. transl., ed. B. V. Gnedenko. Mir. M, 1980.

[23] B. L. Leaver, Teaching the Whole Class. US: SAGE Publications Inc. 1997.

[24] M. A. Rodionov, & Z. Dedovets, Increasing Learner's Level of Motivation in Mathematics Education Through the Use of Uncompleted Situations. // Literacy Information and Computer Education Journal (LICEJ), Volume 2, Issue 2, June 2011, pp. 366-371.

[25] M. A. Rodionov, I. V. Akimova, N. N. Khramova, & T.A. Chernetskaya, Adaptive Technology of Pupils’ Mathematics Teaching That Considers the Specific Features of Pupils’ Subject-Matter Giftedness. The Social Sciences (Medwell Journals), 2016 (11) (Special Issue 4), pp. 6699-6708.

[26] M. A. Rodionov & A. I. Pendyurin, Logarithms. Teacher methodical handbook. Penza: Povolzhsk. ord. RAO - PSPU, 2001.