The paper is devoted to trigonometry teaching in higher school as a part of the elementary mathematics course with a complex hierarchical structure. Due to the complicated content of the given discipline, each of its modules can be divided into separate themes; though, the teacher should emphasize their interrelations, as well as the links with the coordinate method, geometry and mathematical analysis.

The recommended training technology model allows the teacher to build up and control the training process, and achieve good results in accordance with the assigned tasks. In the course of the model approbation, the author developed the e‑learning resource and identification method for selecting the key mathematical examples and exercises for each theme and module.

The analysis of students’ tests and questionnaires conducted for several years proves the effectiveness of the designed model for the senior university students of mathematical profile. Based on the research findings, the author developed the educational methodology complex for the Basics of Trigonometry course.

1. Azarov A. I. Trigonometry. Identities, equations, inequalities, systems: A Training Manual. Minsk: Polymja, 1998. 494 p. (In Russian)

2. Andreev V. I. Pedagogy of creative self-development. innovative course. Kazan’: Kazanskij universitet, 1996. 567 p. (In Russian)

3. Bloh A. Ja., Gusev V. A., Dorofeev G. V. i dr. Methods of teaching mathematics in secondary schools: private method: A Training Manual. M.: Prosveshhenie, 1987. 416 p. (In Russian)

4. Gal’perin P. Ja. The main results of investigations on the «Formation of mental actions and concepts». M.: MGU, 1976. 52 p. (In Russian)

5. Gmurman V. E. Probability theory. M.: Vysshaja shkola, 2000. 479 p. (In Russian)

6. Zagvjazinskij V. I., Emel’janova I. N. The theory of learning and education: a textbook for undergraduate. M.: Jurajt, 2012. 314 p. (In Russian)

7. Litvinenko V. N., Mordkovich A. G. Problem book-workshop on mathematics. Algebra. Trigonometry. M.: ONIKS HHI vek, 2005. 464 p. (In Russian)

8. Marasanov A. N. System problems in trigonometry in mathematics education of students in secondary institutions. Joshkar-Ola, 2012. 180 p. (In Russian)

9. Popov N. I., Marasanov A. N. Trigonometry: A Training Manual. Joshkar-Ola: Marijskij gosudarstvennyj universitet, 2009. 114 p. (In Russian)

10. Popov N. I. Theoretical and methodological bases of training solution of algebraic word problems. Obrazovanie i nauka. 2009. № 3 (60). Р. 88–96. (In Russian)

11. Popov N. I., Toktarova V. I. Electronic educational resource «Trigonometry»: study guide. Joshkar-Ola, 2007. 52 p. URL: http:// fmf.marsu.ru/tg/index.html. (In Russian)

12. Popov N. I., Marasanov A. N. Clarification of intrasubject ties in the study of trigonometry. Nauka i shkola. 2009. № 5. Р. 37–39. (In Russian)

13. Sarancev G. I. Methods of training geometry study guide for university students in «Teacher Education». Kazan’: Centr innovacionnyh tehnologij, 2011. 220 p. (In Russian)

14. Usova A. V., Dammer M. D., Pohlebaev S. M., Simonova M. Zh. Theoretical and methodological bases for the construction of a new system of natural-science education: monograph. Cheljabinsk: ChGPU, 2000. 100 p. (In Russian)