Інтерактивні технології в процесі формування математичної компетентності

Abstract

In the article the interactive technology in the process of mathematical competence of future engineers. We characterize interactive forms: training (focusing on practical studies of the studied) case-study (analysis of specific practical situations), brainstorming (unstructured process of generation and selection of innovative creative ideas in the group, coordinated by teacher), work in small groups (gives all students the opportunity to participate in the) role-playing game (imitates reality intended roles of participants and enable them to act "as fact"). Didactic games are a continuous sequence of educational activities in the process of solving the problem. Methodical development of the game of vector algebra classes on "Overcoming vector field." The aim: educational - check mastering formulas for calculating the area of a triangle, parallelogram, volume pyramid operations on vectors and use this knowledge to solving practical problems; Training - developing professional creative thinking, memory, imagination, activity and independence, interest in the study of higher mathematics, speed up work by creating motivation to study discipline; educational - promote moral, aesthetic and other personality traits. Designed class includes the following phases: introduction of the project "Centennial spaceship"; building simulation models research laboratories; setting the main tasks of research laboratories and clarify their role in the project; creating a gaming problem situation; mastering the necessary theoretical material; solving production problems on the basis of mathematical knowledge; the test results, the correction; analysis of the results, evaluation of results. The performance classes: development of individual skills of organizational work, forming creative (creative) approach to solving production problems with the use of mathematical tools, skills to solve problems on their own on the subject, motivation for further study material, skills drawing conclusions. In the course of employment on higher mathematics with elements of the game implemented the idea of commonwealth competition, education through the collective responsibility of each for the results of their work, and basic - formed substantive motivation of educational activity and interest of future engineers to study higher mathematics, that is, first of all, formation motivational-activity component of mathematical competence. Determined that the main functions of didactic games is forming: the actual training activities; sustained interest in learning higher mathematics; general educational skills of independent learning; skills of self-control and self-esteem; development of adequate relationships and social roles. The basic idea of the game is that the student can see and appreciate the value of mathematical knowledge in production, independently master the necessary theoretical material and to use this knowledge in practice.