### Department of Algebra and Geometry

The department of mathematics was founded in 1948.

At different times the department was headed by:

- 1948 - 1964 - Khatset Borys Isakovych, PhD (Physics and Mathematics), Associate Professor, author of more than 30 scientific works, including those dealing with methodology of education.
- 1962 - 1970 - Bobrovnyk Mykhailo Petrovych, Associate Professor, awarded the diploma of the USSR Ministry of Education, author of more than 20 scientific works, made extensive use of modeling and creating visual aids to illustrate the course of mathematics.
- 1970 - 1982 - Nesterchuk Anatoliy Vasyliovych , Honored Educator of the USSR, PhD (Physics and Mathematics), Associate Professor, author of more than 50 scientific works, an outstanding manager and prominent lecturer, developed the module rating system for the algebra course.
- 1982 - 2007 - Lenchuk Ivan Hryhorovych., PhD (Technical Sciences), University Professor, awarded the diploma of the Ministry of Education of Ukraine, author of more than 80 scientific works, including four tutorials, manuals , operating instructions, etc.

Since 2007 the department is headed by Full Professor, DLett (Pedagogy) Serhii P. Semenets. The author of the concept of developmental mathematics education, he popularized the "developmental education" – a psychological and educational system of teacher training. Having written more than 80 scientific works, including a monograph "Scientific foundations of developmental education in the system of methodical training of mathematics teachers", S. Semenets was awarded diplomas of the Ministry of Education and Science of Ukraine, as well as diplomas of regional and city administration.

The mathematics department staff have developed training aids for all the courses, covered by the department; the European credit system has been introduced in student training and assessing, extensive use is made of computer technologies, which are being integrated into the training process. The staff have authored a number of textbooks.** **

**Specialities:**

- Mathematics and Physics
- Mathematics and Fundamentals of Economics
- Mathematics and Fundamentals of Computer Science
- Physics and mathematics
- Physics and Fundamentals of Computer Science

**Courses covered by the department:**

Analytical geometry; Projective geometry; Differential Geometry and Topology; Basic Mathematics; Methods of Teaching Mathematics; Technical drawing; Fundamentals of stereometric constructions; Constructive geometry; Applied parameter problems; Theory and methods of developmental training in mathematics; Scientific research techniques; Selected issues of geometry; Probability theory and mathematical statistics; Advanced mathematics; Stochastic processes.

**Bologna System introduction**

The introduction of credit-module system is ensured by the new training aids for all the courses developed by the department staff. New teaching practices and techniques are available on the exhibition of the best modern research and methodological works, which is always open at the department.

**Research groups and research areas **

- Theory and Methodology of Developmental Education Training in Mathematics (supervisor – S. Semenets)
- Advanced EM research (supervisor – I. Lenchuk).
- Advanced differential geometry (supervisor – A. Franovskyi).
- The study of algebraic and analytic properties of finite-dimensional hypercomplex systems (supervisor – A. Pohorui).
- A competence-based model for studying mathematics in high school (supervisor – A. Prus).
- Professional skills formation of mathematics teachers (supervisors – A. Mukosii, Z. Polishchuk)

**Cooperation with educational institutions of Ukraine **

The mathematics department has signed a cooperation agreement for the term 2009-2014 with the department of Advanced Mathematics and methods of teaching of Donetsk National University.

**International relations **

Ramon M. Rodriguez - Dahnino (Monterrey Institute of Technology and Higher Education) and A. Pohorui (Ivan Franko Zhytomyr State University) are working on a research project "Random involutions and their application".

**Educational publications certified by Ministry of Education and Science of Ukraine **

- Lenchuk I. H. Systematic approach to teaching planimetric constructions. – Ivan Franko ZSU. – Zhytomyr, 2010. – 154 p. Approved by the Institute of Innovative Technology and Educational content of MES of Ukraine for students of physics and mathematics schools in higher educational teacher training institutions.
- Semenets S. P. Elementary Mathematics. Academic Program (on the basis of developmental education concept ). – Zhytomyr: Ivan Franko ZSU. - 2008. - 88 p.
- Semenets S. P. Methods of teaching mathematics. Academic Program (on the basis of developmental education concept) - Zhytomyr: Ivan Franko ZSU.- 2008. - 144 p.
- Semenets S.P. Scientific fundamentals of developmental education in the system of methodical training of mathematics teachers: Monograph. – Zhytomyr, "Volyn", 2010. – 504 p.
- The concept of teaching geometry to prospective teachers of mathematics with the constructive methods and devices (intoduced by Lenchuk I. H.).
- Theory and practice of developmental education in Mathematics (introduced by Semenets S. P.).