The technology of organising the search activity of students of a technical university for the analysis of solutions to applied mathematical problems
The changes taking place in modern society and production naturally have an impact on the education system, making new requirements for it, which are associated not only with the professional qualities of a university graduate, but also with personal ones. These requirements are fixed in the federal state educational standards of higher education in the form of universal and professional competences. One of the directions that will contribute to the formation of personal qualities of a graduate is related to the training of students in search activities. We consider the issues of organising the search activity of students of a technical university in the process of studying higher mathematics. To do this, we have developed a technology for organising students' search activity based on the analysis of solutions to applied mathematical problems. We have identified three stages in the developed technology – preparatory, basic, and final. The goal of each stage is formulated both from the position of the student and from the position of the pedagogue. Also in the article we show an example of the practical implementation of the developed technology of organising the search activity of students of a technical university for the analysis of solutions to applied mathematical problems, which are reduced to calculating a certain integral. The proposed technology of organising students' search activities contributes to the development of their communication skills – students gain experience in preparing a report, presentation, public speaking, learn to answer additional questions, defend and argue their point of view.