The aim of the study is to study and generalize the methodology of using empirical methods in teaching mathematics to students. Teaching methods are both a historical and a social category, as they change depending on historical and social conditions. Educational institutions are reformed, the content of education changes, and as a result, the methods of activity of teachers and students change. Educational institutions face new challenges, the content of education changes, and therefore teaching methods change. New means are used or traditional ones are improved. All this greatly complicates the interpretation of the essence of teaching methods.

Pedagogical environment, communication, development of personality, effectiveness of modern methods, interactive teaching, communication, process of teaching, interactive methods.

Babansky Yu.K. Methods and means of teaching. Application of computers in the educational process // Pedagogy / Ed. Yu.K. Babansky. - M.: Education, 1988.

Babansky Yu.K. Methods of teaching in a modern comprehensive school. - M.: Education, 1985.

Golant E.Ya. Methods of teaching in the Soviet school. - M.: Education, 1957.

Danilov M.A. The learning process in the Soviet school. - M.: Education, 1960.

Dorofeev G.V., Bunimovich E.A., Krasnyanskaya K.A., Kuznetsova L.V., Minaeva S.S., Roslova L.O., Suvorova S.B., Sharygin I.F. Mathematics 5th grade. Textbook for 5th grade. general educational institutions. - M.: Education, 2010.

Episheva O.B. General methods of teaching mathematics in secondary school. - Tobolsk.: TGPI named after D.I. Mendelev, 1997.

Lemberg R.G. Didactic essays. - Alma-Ata.: Education, 1960.

Lerner I.Ya. Didactic foundations of teaching methods. - M.: Education, 1981.

Methods of teaching mathematics in secondary school. Oganesyan V.A., Kolyagin Yu.M., Lukankin G.L., Sannin V.Ya. - M.: Education, 1980.

Orekhov F.A. Graphic laboratory works on geometry. - M.: Education, 1967.

Voloshinov A.V. Union of mathematics and aesthetics // Mathematics at school. -2006. - №7. P. 62.

Problems of teaching methods in a modern comprehensive school / Ed. Yu.K. Babansky, I.D. Zverev. - M.: Education, 1980.

Prochukhaev V.G. The connection of theory with practice in teaching mathematics. - M.: uchpedgiz, 1958.

Sarancev G.I. Exercises in teaching mathematics. - M.: Education, 1995.

Slastenin V.A., Isaev I.F., Shiyanov E.N. General pedagogy / Ed. V.A. Sweet tooth: In 2 parts. - M:. Education, 2002. Part 1. P. 274-275

Roslova L.O. Geometric line of the new textbook for grades 5-6. // Mathematics at school. - 1999. - No. 5, P. 15 - 22.

Geometry grades 7-9. Textbook for general educational institutions. Atanasian V.G., Butuzov V.F., Kadomtsev S.B., Poznyak E.G., Yudina I.I. - M .: Education, 2001.

Algebra grade 8. Textbook for general educational institutions. Makarychev Yu.N., Mindyuk N.G. - M .: Education, 2001

Kononova E.S., Novokreshchenova T.E., Integrated lesson of mathematics and geography in the 5th grade. school №897, Moscow

Chukantzov S.M. Laboratory works in mathematics. - M.: Education, 1961.

Kolyagin Yu.M. Tasks in teaching mathematics. - M.: Education 1997.