A model of the methodological system of mathematics education at a technical university

Abstract

The main provisions for improving the methodological system of training in mathematics at a technical university are: taking into account the requirements of professional standards for bachelor’s training, which determine the goals of training; formation of pedagogical conditions for training in mathematics, ensuring positive dynamics of the educational results being formed; development of methods, forms and means of training aimed at developing the professional competence of bachelor graduates; the use of tasks whose content integrates mathematical theories with physical and technical aspects from the field of future professional activity; organization of control and assessment activities at all stages of training, associated with assessment tools. Within the framework of the developed model of teaching mathematics, an evaluative component has been added to the structure of A. M. Pyshkalo’s model, which includes goals, content, methods, means and organizational forms of teaching, defining procedures and means of control that provide assessment of the degree of achievement of the formulated goals of teaching mathematics. The mechanism for diagnosing the levels of mastering the content of teaching mathematics includes a taxonomy of levels of mastering the content of teaching, aimed at increasing observability and objectivity in assessing the achievement of training results with differentiation of students’ activities; assessment materials based on traditional control means and professionally oriented control means for fundamental preparation and successful mastery of a block of professional disciplines. A model has been developed that is a methodological guideline for the implementation of a methodological system of professionally oriented training in mathematics at a technical university. The presented model is distinguished by the possibility of implementation in any area of engineering training.