Scientific work

Scientific work

Scientific -research work at the Department is conducted in 2 directions:

І. Scientific and pedagogical direction:

1.1. Problems of methods of teaching mathematics in the education system.

Supervisor: D. Of P.Sc., Professor D. Rakhymbek. The purpose of the study: The development of methods of teaching mathematics and physics in a profile school.

1.2. Formation of professional competence of future teachers of mathematics through the development of information and communication subject environments. Supervisor: D. Of P. Sc., Doc. R. Kadirbayeva. The purpose of the study: To reveal separate aspects of the organization of technology of formation of professional competence of future teachers of mathematics.

II. Scientific direction:

2.1. Spectral theory of differential operators. Supervisor: C. of Ph.-M.Sc., Professor N. Imanbaev. The purpose of the study: Investigation of stability of basic properties of root vectors and eigenvalues of self-adjoint differential operators on a segment.

2.2. Development of multiparametric mathematical model of heterogeneous soil consolidation process and its application. Supervisor: C. of Ph.-M.Sc., Doc. Sh. Altynbekov. The purpose of the study: Algorithmization of the problem of heterogeneous soil consolidation.

Scientific works of the PTS Department, published in the above directions for the period from 2018 to 2019, are presented in the table below:

Calendar year

Articles in foreign journals and journals with impact factor

Republican scientific journals

Conference proceedings

Total amount











The most significant achievements of the PTS department:

  1. Head of the Department Kadirbaeva R. I. received a grant in the amount of 14 768 955.98 tenge for grant funding of scientific and scientific - technical projects of the MES RK for 2018-2020 on the topic "Formation of professional competence of future teachers of mathematics through the development of information and communication subject environments".
  1. The holders of the state grant "The best university teacher":
  • Scientist- pedagogue, Professor  D. of P. Sc. D. Rakhymbek  2 times (2004, 2007);
  • Mathematician-scientist, Professor N. Imanbaev 1 time (2018).
  1. Professor N. Imanbaev has published more than 10 articles in journals with a non-zero impact factor (Thomson Reutors, Scopus, Shpringer), 1 monograph has been published in Germany. In 2018, Professor N. Imanbaev was included in the General Rating of the PTS Universities (TOP-50) of the National Rating conducted by the Independent Agency for Accreditation and Rating (IAAR).
  1. Hirsch index in the Web of Science database of C. of Ph.–M.Sc. M. A. Jamankarayeva h=1.
  1. Docent Sh. Altynbekov was awarded several awards at the Russian Academy of Natural Sciences: To obtain the honorary title “Honored Worker of Science and Education”, the Presidium of the RAE presented a certificate of scientific and pedagogical activity and was awarded the Diploma of Professor of Natural Sciences by the Presidium of the Russian Academy of Natural Sciences (Russia, June 9, 2016) ; Doctor of Science degree by decision of the Presidium of the Russian Academy of Natural Sciences 2016; awarded the Order of Primus Inter Pares - First Among Equals (28.09.2016)
  1. From November 25 to November 29, 2018, C. of P. Sc., doc. Amirbekuly A., in the framework of a scientific trip in order to exchange experience, visited Poland: the Academy of Economics in Radom and Rzeszow University. During the scientific trip Amirbekuly A. took part in several meetings, discussions and seminars with leading foreign scientists.
  1. Teachers of the department R. Kadirbaeva and A. Amirbekuly took part in the XIV International scientific-practical conference "Modern information technologies and IT education", which was held at M.V. Lomonosov Moscow State University in Moscow from November 20 to 24, 2019 and made a presentation on the topic “Information and pedagogical technology for the formation of professional competence of a future mathematics teacher”. Following the results of the conference, an article of the report is submitted for publication in the journal of the Higher Attestation Commission of the Russian Federation.

SRW of students

The purpose of the research of students is to attract students to scientific work, giving them the opportunity to prepare scientific reports, participate in classes, in scientific conferences and write articles together with the supervisor. 

In 2019, 11 articles were published at the student conference.

Students who took part in the annual Republican competition SRWS MES RK:

University, country, city, name of the competition

Theme of work

First name, last name of student

First name, last name of supervisor


Republican annual competition SRWS MES RK

Use of digital educational resources in teaching mathematics

Shamshi G.Zh.

Ibragimov R., Kadirbayeva R.I.


Some aspects of minimization of Boolean formulas in the class of disjunctive normal form

Olzhayev M.

Baizhumanov А.

In the autumn semester of the 2018-2019 academic year, a student of group 109-26a Aueskhanov Nauryzbay Asanovich and a student of group 109-17A Zhumabek Beksultan Nurgalievich studied at a foreign University under the academic mobility program (Eger city, Karoy Esterhazy University, Hungary).

In 2019/2020 academic year, the work of the scientific class "Methods of solving Olympiad problems"is carried out. Students showing good results in the class:

1. Faizullayev E.
2. Narbekova N.
3. Lesbekova Zh.
4. Tulebayev M.
5. Nazirkul B.
6. Akhmetov T.