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About the Institute
   · of General Mathematics
· of Algebra
· of Geometry
· of Mathematical Analysis
· of Differential Equations
· of Theory of Functions and Approximations
· of Theoretical Mechanics
· of Aerohydromechanics
Personal Pages
   · Prof. M.Arslanov
· Prof. F.Avkhadiev
· Asc.Prof. V.Fomin
· Ass.Prof. K.Igudesman
· Asc.Prof. S.Ilyin
· Asc.Prof. I.Kayumov
· Asc.Prof. M.Malakhaltsev
· Prof. D.Mushtari
· Ass.Prof. M.Nasrutdinov
· Prof. Yu.Obnosov
· Asc.Prof. A.Podkovyrin
· Asc.Prof. E.Shirokova
· Prof. V.Shurygin
· Asc.Prof. S.Tronin

Head of the Department
Professor Elena A. Shirokova

  Tel.: (007-843) 233-71-60

Department of General Mathematics

Our Department is aimed to solve the following problems: First, we are preparing mathematicians-teachers. After graduating the University, they can work as teachers and lecturers in higher education institutions, high schools, colleges, secondary schools, etc., with advanced study of mathematical disciplines. Abilities to teach on both Russian and Tatar (when desired) are previewed as well.

While other Chairs of the Institute dwell in both common and specific formation of the students in various directions of the Contemporaneous Mathematics, our Chair supply to them the methodological principles of formation, supports a future specialist to refine his/her knowledge in Elementary Mathematics for Secondary School. This means a possession of new methods for solving problems of Elementary Mathematics, the knowledge of both classical and modern pedagogical technique. To this end our staff elaborated a number of general and special courses concerning the methodology of teaching to Mathematics; we systematically prepare new manuals and books, which support the students in acquiring necessary pedagogical experience and knowledge.

The practical training of teaching takes place in the best high and higher schools of the city under supervision of our most experienced specialists. Namely in these schools the knowledge, accumulated during the years of study, is verified and the practical experience of both curricular and additional educational work is adhered; the first lessons in their professional teacher life are given.

Experience of several years shows that the mathematicians -- graduates of the Kazan University -- possess significantly greater knowledge than those who graduated from pedagogical institutes. Moreover, our graduates have an augmented mathematical culture (a fact known at international level), though their preparation in methodical courses is lesser in its volume, but not quality. Their accommodation to the high school requirements seems to continue during the first one or two years, but afterwards they turn to occupy the leading places among the teacher staff. Their creative abilities and skills for active work, their dedication to the Mathematics help them to become brilliant persons attracting the young school pupils.

The next objective of our Department is formation in Mathematics of the students at non-mathematical Faculties, including Biological, Chemical, Geological, Geographical and other faculties. In last years some new trends started to prevail in Higher Education -- both the humanization and mathematization. By recent governmental decisions, mathematical disciplines are introduced practically in all curricula of university faculties. We are trying to help to our students to understand the basic elements of both Classical and Discrete Mathematics, to refine their knowledge in Computer Science, form their necessary skills for free working at PCs and in networks.

Significant forces of our staff are directed to help those young men and women, who already have some practical experience after graduating from a secondary school, but wish to continue their study in our University. To this end they must restore their knowledge and skills. This objective is realised at the Preparatory Division of Kazan University (so-called "Rabfak"). So, a significant part of our staff works with the students of "Rabfak", thus dedicating their efforts to the aim of forming persons possessing a significant "lacunas" in their Mathematics. The staff of Department holds almost all mathematical courses at university faculties related to Natural Sciences, creating thus a foundation for adequate posterior teaching for the consequent scientific courses and development of a young specialist. A significant research work is carried out along the lines of Methods for Teaching the Mathematics, many various manuals and tutor books are already published, we permanently prepare new didactic materials. We are studying the ways to activate the processes of learners' perception in their studying complex parts of mathematical courses. A technique for analysis of the complexity of exercises and problems in Elementary and Higher Mathematics is developed in order to make more adequate the composition of the corresponding courses. We prepare specialists - teachers of Mathematics for both High and Higher education levels with a fundamental theoretic basement in Mathematics, Pedagogy, and Psychology.

Scientific Research Works

  • Psychological-pedagogical Basements for Development of Formation in Mathematics in Higher and Secondary School
  • Conceptual and Algorithmic Aspects of the Intellectualization of Man-Computer Interface

Courses of Specialization

  • Elementary Mathematics (in Russian) on 1st, 2nd, 4th, and 5th years
  • Methods for Teaching the Mathematics (in Russian)
  • Methodological Problems of Mathematical Pedagogy in the Modern Situation
  • Elliptic Functions
  • The Geometry of Images with Basements of The Projective Geometry
  • Projective Geometry and Projective Metrics
  • Boundary Value Problems in a Rectangle
  • Riemannian Geometry and Tensorial Analysis
  • Basements of The Theory of Differentiation

Optional Courses

  • Elementary Mathematics (in Tatar) on 1st and 4th years
  • Methods for Teaching Mathematics in Tatar

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