Research
1. The Faculty’s research topics
Research projects of the Faculty are carried out in 6 scientific fields:
Formation of the Fundamentals of Logic-Algebraic Education in Higher Education Institutions. (supervisor: B. N. Drobotun, Doctor of Pedagogical Sciences, Candidate of Physico-mathematical Sciences, a Corresponding Member of the Academy of Pedagogical Sciences of the Republic of Kazakhstan) Research on the given topic was carried out:
а) in 4 monographs published abroad (in the Russian Federation, two of them were published twice (in 2007 and 2009) and two of them were translated into the Kazakh language;
b) in 2 study guides recommended for publication by the Republican Educational and Methodical Board of Al-Farabi Kazakh National University and Kazakh National Technical University after K. I. Satpayev (with approval of the Educational and Methodical Section of the Republican Educational and Methodical Board;
c) in research articles published in Kazakhstan and abroad, in reports at international and republican scientific and scientific-practical conferences;
d) in 14 acts of implementation into the practice of mathematics education at Higher Educational Institutions of Kazakhstan and Russia.
A considerable contribution to development of research on the given topic is made by graduate and postgraduate students, majoring in Mathematics, supervised by B. N. Drobotun. In particular, master’s students N. I. Mukhametzyanova, R. T. Akhmetov, Ye. Sh. Oralov, O. I. Panasenko, N. B. Yeginbayeva et al., and also students Z. Yergali, M. Kusmanova, Ye. Dzhussupova, M. Zhanyspayeva, G. Sarsenbayeva, R. Sadykova, D. Temirkhanova, V. Gaydak, et al. were awarded by diplomas of 1st, 2nd and 3rd degrees at international conferences held on the territory of the Republic of Kazakhstan. In accordance with the given field students together with their supervisors published over 30 scientific works in different scientific periodicals of the Republic of Kazakhstan and more than 25 reports of international and republican level scientific conferences.
The successful defense of 9 master’s theses and over 15 bachelor’s theses was the result of the given activities. Over 150 scientific works on this topic, including 4 monographs, 3 study guides and 3 educational methodical guides, were published.
The main publications on the research topic include:
1) a monograph “Methodical aspects of studying algebraic systems at a higher educational institution” co-authored by S. S. Goncharov and A. A. Nikitin, Novosibirsk: the publishing house of Novosibirsk State University, 2007, 251 p.(Методические аспекты изучения алгебраических систем в высшем учебном заведении. Монография. Новосибирск: изд-во НГУ, 2007. – 251с. (в соавторстве с С.С.Гончаровым и А.А.Никитиным). Перевод на казахский язык: Жоғарғы оқу орындарында алгебралық жүйелерді оқып-үйренудің әдістемелік аспектілері. Монография. Қарағанды, Басылым ҰҒТАО ҚФ, издание первое: 2011.-287 б. Издание второе: 2012.-202 б. Орысшадан аударған Қ. Жетпісов, Ж.А. Түсіпов.);
2) a monograph “Algebraic and algorithmic features of logical calculi” I and II parts, Novosibirsk: the publishing house of Novosibirsk State University, 2008. The I part: 221 p.; the II part: 376 p. (Алгебраические и алгоритмические свойства логических исчислений. Части I и II. Монография.- Новосибирск: изд-во НГУ, 2008. Часть I –221с. Часть II - 376с.);
a monograph “Algebraic and algorithmic features of logical calculi” the second edition revised and enlarged, co-authored by S. S. Goncharov and A. A. Nikitin, Novosibirsk: the publishing house of the Institute of Pedagogic Research of Children’s Talents of the Russian Academy of Education, 2009. The I part: 226 p.; the II part: 360 p. (Алгебраические и алгоритмические свойства логических исчислений. Части I и II. Издание второе исправленное и дополненное. Монография.- Новосибирск: изд-во Учреждения Российской академии образования «Институт педагогических исследований одаренности детей», 2009. – Часть I, 226 с. Часть II, 360 с. (в соавторстве с С.С.Гончаровым и А.А.Никитиным).);
3) a study guide “Solutions Manual to accompany Discrete Mathematics and Mathematical Logic” Parts I and II, Pavlodar: the publishing house “Kereku”, 2010, the I part: 380 p.; the II part: 339 p. (Руководство к решению задач по дискретной математике и математической логике. Части I и II. Учебное пособие. Павлодар: Кереку, 2010. - Часть I, 380 с. Часть II, 339 с.);
4) “Algorithmic problems of Mathematical Logic and the Study Methodology”, the quarterly scientific journal Novosibirsk State University Bulletin, the pedagogic series, 2007, volume 8, the 2nd edition, 29-38 p. (Алгоритмические проблемы в курсе «Математическая логика» и методика их изучения. Вестник Новосибирского государственного университета. Серия педагогическая, 2007, том 8, выпуск 2, с. 29 -38.);
5) “About the role of mathematical logic in mathematics education” co-authored by S. S. Goncharov, the quarterly scientific journal Novosibirsk State University Bulletin, the series: Mathematics, Mechanics, Informatics, volume 8, the 1st edition, 2008, 15-22 p. (О роли математической логики в образовании по математическим направлениям. //Вестник Новосибирского государственного университета. Серия: Математика, механика, информатика, том 8 , выпуск 1, 2008, стр. 15 -22. (в соавторстве с С.С.Гончаровым));
6) a monograph “The fundamentals of didactics for studying logic-algebraic disciplines in a higher school. Part I. Scientific-theoretical and ideological-methodological background” co-authored by S. S. Goncharov and A. A. Nikitin, Novosibirsk: the publishing house of the Institute of Pedagogic Research of Children’s Talents of the Russian Academy of Education, 2011, 270 p. (Основания дидактики обучения логико-алгебраическим дисциплинам в высшей школе. Часть I . Научно-теоретические и идейно-методологические предпосылки. Монография.- Новосибирск: изд-во Учреждения Российской академии образования «Институт педагогических исследований одаренности детей», 2011. – 270с. (в соавторстве с С.С.Гончаровым и А.А.Никитиным));
7) “To the problem of formation and development of the fundamentals of logics education at a secondary school. I, II Pedagogic notes” co-authored by S. S. Goncharov and A. A. Nikitin, the scientific journal of the Institute of Pedagogic Research of Children’s Talents of the Russian Academy of Education, Novosibirsk (К проблеме формирования и развития фундаментальных основ логического образования в средней общеобразовательной школе. I, II. Педагогические заметки. Научный журнал учреждения Российской академии образования «Институт педагогических исследований одаренности детей», Новосибирск, часть I -2010. Т.3, вып 2, с 21-35, часть II - 2011. Т.4, вып. 2, стр. 21-38. (в соавторстве с С.С.Гончаровым и А.А.Никитиным));
8) a study guide “Methodological Introduction to Algebra. Part I”, Pavlodar: the publishing house “Kereku”, 2014, 189 p. (Методологическое введение в алгебру. Часть I . Учебное пособие. Павлодар : Кереку. 2014. – 189 с.).
Formation and Development of ICT (Information and Communication Technologies) Competences of the pedagogical staff. The supervisor: Doctor of Pedagogical Sciences, Professor of the Department of Mathematics and Informatics Vassiliy Andreyevich Krivoruchko.
Professor V. A. Krivoruchko received the title “Best Lecturer of the University 2014” (he won a similar title in 2008), in May, 2015 he was elected as a corresponding member of Concord International Academy (France). V. A. Krivoruchko is a member of the Academic Board of the affiliate of “National Center for Professional Development “Orleu”” JSC the Institute of Professional Development of Pedagogical Workers of Pavlodar oblast, an expert analyst of “National Center for Scientific and Technical Information” JSC on the part of PSU. A master’s student N. N. Shpigar, supervised by Professor V. A. Krivoruchko, won a III degree diploma and received a certificate for participation in the republican competition “The best upgraded, the best new program of a professional development course for pedagogical workers”, “The best educational-methodical complex for a short-term professional development course for pedagogical workers” held by “National Center for Professional Development “Orleu”” JSC of the Ministry of Education and Science of the Republic of Kazakhstan, Almaty, 2014.
A monograph on the research topic was published in France in English “Design of control and measurement of materials to estimate the ICT level – competence of pedagogical workers: monograph”.
The main publications on the research topic include:
1. New approaches to Teachers’ ICT competence improving in the system of Teachers’ Professional Development (in English) (Новые подходы к совершенствованию ИКТ-компетентности педагогов в системе повышения квалификации). 3rd International Science Congress. ISC-2013. 8th & 9th December 2013. Souvenir: Innovation with Global Responsibility. – Karunya University, Coimbatore, Tamil Nadu, India. P.239. International E-Publication (co-authored by Natalya Shpigar, Inna Makarikhina);
2. The strategy of electronic education system implementation in Kazakhstan: the collection of articles on the proceedings of the V International Scientific and Practical Conference of Graduate and Postgraduate Students, Teachers titled “Continuous professional education: the theory and practice” – Novosibirsk, 2014, 324-326 p.;
3. The implementation of information and communication technologies in the work of a university. Continuous professional education: the theory and practice, the collection of articles on the proceedings of the VI International Scientific and Practical Conference of teachers, graduate and postgraduate students. – Novosibirsk: the Siberian Academy of Finance and Banking, 2015, 246-249 p.;
4. Conceptual approaches to development of the pedagogical workers ICT competences assessment tool. Bulletin d’EUROTALENT-FIDJIP, 2015, No.1. – Paris: Editions du JIPTO. – 85-89 p.
5. Developing a Mobile Application "Educational Process Remote Management System" on the Android Operating System: International journal of environmental & science education, vol. 11, No. 12 (2016), 5128-5145. Gulmira M. Abildinova, Aitugan K. Alzhanov, Nazira N. Ospanova , Zhymatay Taybaldieva, Dametken S. Baigojanova and Nikita O. Pashovkina
Development of the theory of congruences in groups. The supervisor: Candidate of Physico-mathematical Sciences, Professor of the Department of Mathematics and Informatics Ivan Ivanovich Pavluk. In 2012-2014 the research project was financed by the Science Committee under the program 055 “Grant financing of scientific researches” (the state registration No.0112РК02319). The Department’s graduate and postgraduate students, as well as talented pupils of Pavlodar oblast carried out work on the research topic.
Supervised by Professor I. I. Pavluk scientific projects of pupils and students were honored with awards. In 2011 a student majoring in Mathematics M. Navalikhina won the competition held by the Fund of the First President of the Republic Kazakhstan and received a gold medal for the best scientific project. In 2014 M. Zhanyspayeva, a student majoring in Mathematics, won the 3rd degree diploma for the effective scientific report at the Republican Student Scientific and Practical Conference held at L. N. Gumilyov Eurasian National University. Yu. Gertz, a year 11 pupil of a residential school for talented children of Pavlodar oblast and a year 11 pupil, a cadet of a military school M. Mukhamed-ali were honored with the 1st and 2nd degree diplomas respectively for the scientific report at the International Scientific Conference “The XV Satpayev Readings”.
The main publications on the research topic include:
1. The uniqueness of a group as an axiomatic system. The quarterly scientific journal PSU Bulletin, the physico-mathematical series No.3, 2015, 43-47 p. (Единственность группы как аксиоматической системы. Вестник ПГУ им. С. Торайгырова, серия физико – математическая №3.2015. С. 43-47);
2. Index equivalence and FC-center of groups. The quarterly scientific journal PSU Bulletin, the physico-mathematical series No.3, 2015, 47-49 p. (Индексная эквивалентность и FC-центр групп. Вестник ПГУ им. С. Торайгырова, серия физико – математическая №3.2015. С. 47-49.);
3. Group-theoretical commutativity relation. The IX International Scientific Conference of Students and Young Scientists “Science and Education 2014”, p. 2104-2106 (Теоретико-групповое отношение коммутативности. IX Международная научная конференция студентов и молодых ученых «Наука и образование - 2014» с.2104-2106 www.enu.kz/ru/nauka/nauka-i-obrazovanie/).
Innovative technologies in education. The supervisor: Candidate of Pedagogical Sciences, Professor of PSU Almagul Zhayakovna Assainova. The research topic relates to informatization of education: content structuring, development of electronic educational editions. There are 70 publications on the research topic in scientific journals of neighboring and far-abroad countries, of the Republic of Kazakhstan, 32 out of them are electronic programs, having the certificate of the author rights state registration. In 2011 she participated in the Summit of Electronic Course Developers in Moscow; she is a member of the E-Learning Pro electronic course developers community.
She is supervisor and co-supervisor of the following projects:
* Educational portal of the University www.psu.kz
* Automated management system of the University
* Series of electronic educational courses for higher education (over 20, there are certificates of the author rights state registration)
* System of the electronic document flow of the University
* Series of “Madeni mura” sites:
* http://mashhur.psu.kz/,
* http://bukharzhirau.psu.kz/,
* http://aimauytov.psu.kz/,
* http://toraigyrov.psu.kz/,
* http://satpaev.psu.kz/,
* http://isa-baizakov.psu.kz/,
* http://bekturov.psu.kz/,
* http://margulan.psu.kz/,
* http://bekhozhin.psu.kz/,
* http://bekmakhanov.psu.kz/
Wave processes in heterostructures with different physico-mathematical features. The supervisor: Candidate of Physico-mathematical Sciences Marat Karatayevich Zhukenov. Initiative-retrieval scientific research on the following topics is carried out by the academic staff members of the Department of Physics and Instrumentation:
The study of wave processes in elastic anisotropic media (elastic, bending waves);
The study of wave processes in thermoelastic anisotropic media (thermoelastic waves);
The study of wave processes in piezoelastic anisotropic media (elastic and electromagnetic waves);
The study of wave processes in magneto-elastic anisotropic media (elastic and electromagnetic waves);
The study of wave processes in dielectric anisotropic media (electromagnetic waves);
The study of wave processes in anisotropic media with electromagnetic effect (elastic and electromagnetic waves).
Over 20 graduate theses, 30 master’s theses and 5 PhD theses in Physico-mathematical Sciences, supervised by Professor S. K. Tleukenov, were successfully defended by the graduate and postgraduate students and academic staff members of the Department of Physics and Instrumentation, i.e. N. A. Ispulov, Sh. N. Sarymova, T. S. Dossanov, M. K. Zhukenov, A. K. Seytkhanova. In 2011 Candidate of Physico-mathematical Sciences M. K. Zhukenov and Candidate of Physico-mathematical Sciences T. S. Dossanov were honored with a reward from the Fund of the First President of the Republic of Kazakhstan.
The main publications on the research topic include:
1. Тлеукенов С.К., Жукенов М.К., Каратаева Н.К., Жакипова Д. Электромагниттік толқындардың шағылу және сыну есептеріндегі шектік шарттадың матрицалық түрі // Вторые Ержановские чтения: материалы межд. науч. конф. – Актобе – 20079. Тлеукенов С.К., Жукенов М.К., Каратаева Н.К., Жакипова Д. Электромагниттік толқындардың шағылу және сыну коэффииценттері туралы // Вторые Ержановские чтения: материалы межд. науч. конф. – Актобе – 2007.
2. Жукенов М.К., Жакипова Д. Электромагниттік толқындардың шағылу және сыну коэффииценттері туралы // VIII Сатпаевские чтения: материалы межд. науч. конф. молодых ученых, студентов, школьников – Павлодар – 2008.- Т.8.
3. Тлеукенов С.К., Досанов Т.С., Жукенов М.К. Об уравнениях дисперсии пьезомагнитных волн в периодически-неоднородных анизотропных средах тетрагональной сингонии классов 422, 4mm, 4/mm с пьезомагнитным эффектомпеч. Вестник КазНПУ, сер. физ.-мат. – Алматы, 2008. – №3.
4. Тлеукенов С.К., Жукенов М.К. Изотропты диэлектрикпен магнитэлектрлік эффектісі бар анизотропты диэлектриктің шекарасындағы электромагниттік толқынның шағылу және сыну коэффициенттері // Вестник КазНПУ, сер. физ.-мат. – Алматы, 2008. – №3.
5. Тлеукенов С.К., Досанов Т.С., Жукенов М.К. Об уравнениях дисперсии связанных волн в периодически-неоднородной среде ромбической сингонии классов 222, mm2, mmm с пьезомагнитным эффектом // Вестник ЕНУ – Астана – 2009 – №2
6. Тлеукенов С.К., Жукенов М.К. Аналитическое решение задачи отражения и преломления электромагнитных волн на границе изотропного диэлектрика и анизотропного диэлектрика с магнитоэлектрическим эффектом методом матрицанта // Известия НАН РК – 2009 г. – № 5.
7. Тлеукенов С.К., Жукенов М.К. О распространений электромагнитных волн в диэлектрических средах с магнитоэлектрическим эффектом // III HUMBOLDT-KOLLEG: Материалы межд. научн. конф «Роль Гумбольдтовских основополагающих познаний о глобальных взаимосвязях между человеком и природой в устойчивом развитии современного общества».
8. Тлеукенов С.К., Жукенов М.К.,Совет Е. О распространении электромагнитных волн в магнитоэлектрических средах. Материалы международной научно-практической конференции «Наука, образование, общество: современные вызовы и перспективы» – Москва, 2013 – Ч.1. стр. 30-31
9. Тлеукенов С.К., Жукенов М.К. Existence of surface waves at the plane Boundary of antiferromagnetic Cr2O3. Материалы международной научно-практической конференции «The 7th Conference of the Asian Consortium on Computational Materials Science (ACCMS-7) – Накхон Ратчасима, Тайланд, 2013 – стр. 73
10. Nurlybek A. Ispulov, Abdul Qadir, Ainur K. Seythanova, Marat Zhukenov, Talgat Dosanov, Saeed Ahmed Khan. Thermoelastic Waves Propagation in Rhombic Singony of the Classes mm2 and 222. SINDH UNIVERSITY RESEARCH JOURNAL (SCIENCE SERIES), N. A-1, март 2013, р. 29-32, 2013 г.
11. Abdul Qadir, Nurlybek A. Ispulov, Asim Ali, R. Chand, M.A. Shah, Asif Khan, Kashif Hussain. Experimental and Numerical Determination of Apparent Mass Variation of Granular Media Confined in Silo Geometry. Acta Physica Polonica A / Vol. 129, p. 378-382, 2016 г.
12. Nurlybek A. Ispulov, Abdul Qadir, M.A. Shah, Ainur K Seythanova, Tanat G Kissikov, and Erkin Arinov. Reflection of thermoelastic wave on the interface of isotropic half-space and tetragonal syngony anisotropic medium of classes 4, , 4/m with thermomechanical effect. Chin. Phys.B, Vol. 25, No 3 (2016) 038102, 2016 г.
2. International Cooperation
One of the projects in educational cooperation of S. Toraighyrov Pavlodar State University with the National Research Tomsk State University became the implementation of a dual-diploma master’s program in Physics (with the subprogram in Information Processes and Systems).
In October, 2013 according to the results of the VI competition of the Tempus program of the European Union three projects of S. Toraighyrov Pavlodar State University, one of them was carried out by the academic staff members of the Faculty, were selected for funding by the European Commission.
OpenU
