Mathematics
ON 1. – Describes the goals and objectives of scientific and methodological activities in the framework of modern scientific mathematical directions;
– Sets out the main theoretical and methodological problems of classical sections of mathematical science, mathematical laws;
– Defines and identifies the intellectual and general cultural level, represents the main functions and psychology of management.
ON 2. – Demonstrates the main categories of science that allow analyzing modern problems of pedagogical science, the theoretical foundations of innovative pedagogical technologies in teaching mathematics, methods of rating and self-assessment, diagnostics of personal and psychological characteristics of students;
– Uses the system of basic axiomatic methods of school mathematics, teaching methods and methods of teaching in accordance with updated curricula, innovative technologies in education in professional activities;
– Selects rational methods for solving problems and defines creative ways to solve non-standard mathematical problems;
– Applies in practice the knowledge and skills of professional language, the basics of motivation theory, leadership styles, as well as uses theoretical and methodological knowledge in psychological situations.
– Analyzes industrial safety issues in all sectors, the organization’s strategy, organizational management structure, and explains innovative technologies and interactive training methods.
– Formulates tasks that have arisen in the course of research and practical activities, explains the criteria for evaluating management activities and various psychological facts and theories of conflict management.
ON 3. – Analyzes the effective use of modern ICT for organizing various types of students ‘ activities in the process of mastering mathematics, the system of criteria assessment, methods of independent research activities, new conceptual ideas and directions for the development of pedagogical science in the context of the modern educational paradigm, laws and principles of pedagogical processes ;
– Summarizes the results obtained in psychological and pedagogical research based on qualitative and quantitative methods, forms professional-pedagogical, critical thinking, analytical, diagnostic skills in designing an effective math lesson using innovative technologies, considers various options for solving problems;
– Considers methodology and research, organizational approach to solving professional problems and self-development.
ON 4. – Analyzes the relationship of methodological, theoretical and applied levels in scientific research on pedagogy.
– Formulates the methodology of scientific research;
– Processes information and statistical data obtained from research results;
– Selects its General cultural level in determining the purpose of professional activity, uses knowledge in solving educational, professional tasks, modern problems, organizes its work on a scientific basis, independently evaluates its results, makes conclusions about a variety of information based on modern technologies.
ON 5. – Develops effective lesson plans in mathematics based on new pedagogical technologies, means of verification, strives for creative use of innovative pedagogical technologies, self-education, works in a team, correctly proves his point of view, informs at scientific conferences and seminars;
– Defines and formulates the essence and structure of research methods, the main methodological problems of classical branches of science;
– Applies knowledge, understanding in solving problems in new or uncertain situations in areas related to the area being studied.
ON 6. – Analyzes the goals and objectives of scientific and methodological activities, the main mathematical structures and systems of axiomatic methods, integration methods for solving equations of differential and mathematical physics, proves the main properties and theorems;
– Conducts independent research using modern methods of science, designs research on current problems of mathematics and provides the data obtained on the basis of the work performed;
– Has the skills to develop methods of teaching mathematical analysis, probability theory and specific problems of mathematical statistics at various levels of education, assesses the results of their activities.
ON 7. – Forms the need for professional and pedagogical self -determination, personal and professional self-development of students, analyzes the history of development of a specific scientific problem, its scientific directions, modern methods of scientific research;
– Draws up a plan of research work on individual sections of the master’s project , collects the necessary materials, resources from electronic libraries, the Internet to perform the work;
– Presents the results of its research and experimental research work in the form of strict reasoned conclusions;
ON 8. – Applies at the professional level knowledge , understanding, and ability to solve problems related to the field of study in a new environment, in a broader interdisciplinary context;
– Collects information and comments to form opinions based on social, ethical and scientific ideas;
– Provides information, ideas, conclusions, problems and solutions to specialists and non- specialists.
