Факультет фізики, математики та інформатики

8.04020101 Mathematics ( following directions ) * (EN)

Areas of Knowledge 0402 Physical - Mathematical Sciences

The training course 6.040201 Mathematics *

Qualification awarded:
teacher of mathematics.
Level of qualification:
bachelor's degree (first cycle higher education).
Special requirements for admission:
no, enrollment is conducted on the general conditions of entry.

Special regulations about recognition of prior studying (formal, informal, unofficial):
no.

Programmer profile

Bachelor's degree, mathematics teacher should have the knowledge and skills necessary for organizing the educational process in general educational institutions of I-II eves. He must understand the patterns of socio-political and economic development of Ukraine in the international community to realize their professional and social role in the reprocesses. High graduate training is in the perfect knowledge of the chosen subject, the ability to constant work to improve the professional level, the ability to positively influence the intellectual, spiritual and emotional students.
The total training program - 240 ECTS credits.

Key learning outcomes

1. Knowledge of subject sphere:

-       possession of methods of mathematical analysis (complex analysis), linear algebra, algebra and number theory, analytic geometry, differential geometry, probability theory and mathematical statistics, methods of approximation of functions;

-        the choice of rational algorithms, methods and ways of solving mathematical problems;

-        mathematical methods of analysis and description of processes and systems;

-       analytical studies of mathematical models of objects and processes in terms of existence and uniqueness of the solution;

-       development of mathematical models as systems of integro-differential equations;

-       using information technology to solve mathematical problems and educational activities;

-       knowledge of modern technologies of software development and software implementation of numerical algorithms;

-       knowledge of modern approaches to the training sessions (lessons in math, algebra and geometry of different types.);

-       technology of educational activities;

-       development and use of teaching tools;

-       conduct psycho-pedagogical and methodological research, design their results;

-       planning (design) educational work.

 2. Cognitive abilities and skills in the subject sphere:

-       fundamentals of general disciplines required to address educational, scientific and methodological, organizational and managerial tasks;

-       disciplines cycle of social and humanitarian training: sociology of education foundation business and economics education;

-       courses Cycle Science Training: Selected Issues of higher mathematics (mathematical analysis, algebra and geometry, basic science, numerical methods, probability theory and mathematical statistics, mathematical logic);

-       methods of teaching mathematics, methods of upbringing (including the method of the class teacher, Guidance counselor, educational work in preschool institutions, career guidance) innovation and ICT training;

-       the history of mathematics in the system of natural-scientific knowledge;

-       the relationship of mathematics with other sciences and their role in accelerating the pace of scientific and technological progress, the history of the great inventions and discoveries in the field of technology related to the use of mathematical laws;

-       the impact of theoretical knowledge in mathematics to changes in technology and the restructuring of production cycles;

-       the content and principles of secondary education in mathematics, school curricula and textbooks;

-       formation of student groups and teachers guide them;

-       requirements for equipment and machinery classrooms and ancillary facilities;

-       means of learning and their teaching capabilities;

-       key trends and prospects of development of secondary education and teaching of science in Ukraine;

-       principles and techniques of collecting, organizing, summarizing and using information, research and technical work in the specialty, training information and scientific and methodological materials.

 3. Practical skills in the subject sphere:

-        solve the problem of school mathematics;

-       solve various mathematical problems with rational algorithms, methods and ways;

-       apply the knowledge gained in solving pedagogical, educational, scientific and methodological problems including age and individual-typological differences of students, social and educational situations;

-       conduct training and educational work, to determine the extent and depth of learning by students of program material, to impart them skills self-updating knowledge and conduct experiments to identify natural laws;

-       use various methods and forms of education, progressive leadership training methods, labor, social, sporting and artistic and creative activities of students;

-       use teaching and laboratory equipment, technology training and modern computer facilities;

-       promote students in scientific understanding of natural phenomena and processes to develop their interest in learning mathematics and science are sumizh;

-       organize individual sessions with students for complicated programs;

-       select and interpret educational material to address, in knitted hardware classrooms and ancillary facilities; collect demo installation, design and produce mathematical models, use visual aids;

-       carry out labor, moral and aesthetic education of students;

-       analyze, summarize and disseminate best teaching experience; systematically improve their professional qualifications;

-       have reasonable methods search, selection and use of information in the literature focus on profiling and related sciences;

-       carry out research and methodological activities;

-       practice using knowledge of scientific management and safety.

4. General abilities and skills:

-       using the main achievements of the Ukrainian and world culture, able to analyze past and present achievements of culture, issues and trends in Ukraine and world community;

-       using knowledge of psychology, foundations of economic theory have the means of modern management, taking into account features of interpersonal relations in the workplace;

-       communication skills, including oral and written communication in the Ukrainian language and at least one of the common European languages;

-       skills of interaction with others, ability to work in groups;

-       the ability to apply acquired knowledge in practice;

-       the ability to self-learning and continuing professional development;

-       the ability of individual activities and effective time management.

Professional profile of graduates with examples.

BA should have a high level of training, possess broad erudition and culture.
BA must be of high civil and moral character, responsible and creative attitude to the assigned work. Bachelor should combine broad fundamental scientific and practical training, perfect their own specialty, continuously replenish their knowledge, expand social and political outlook, be able to practice the principles of scientific organization of labor have advanced methods of labor collectives.

Access to further education:

 bachelor's degree, prepared for continuing education program specialist and masters.
Regulations on the examination, evaluation and assessment
Regulations on the organization of educational process in Uman State Pedagogical University named Paul Ticino.

 Requirements for state certification

1. Final state attestation made in the form of public examination in mathematics and methods of teaching mathematics. State exam is intended to clarify the level of preparedness of graduates for professional tasks, provided the appropriate standards of higher education and continuing education.

2. Procedure for application and state examination determined institution of higher education based on guidelines of the Ministry of Education, Youth and Sports of Ukraine.
3. State exam is conducted as a comprehensive test of knowledge and skills of graduates from disciplines in the curriculum. Assessed quality of graduates of the common tasks.

Graduation requirements:

Complete curriculum volume of 240 credits successfully compiled state exam in mathematics and methods of teaching mathematics.

 Form of teaching:

full-time (day)
The Director of the Programmer or the assigned official:
Kipnis Leonid Abramovich - doctor, professor of physics and mathematics.

 Structural and logical scheme disciplines

Training direction: 6.040201 MATH