Adelya Hyjaeva

This article examines the pressing issue of developing forecasting competency in technical college students. The aim of the study is to develop a method for developing forecasting competency in technical college students in the context of the digital transformation of mathematics education. The authors propose an innovative method based on a professional activity-oriented approach aimed at developing generalized methods for solving typical forecasting problems of mid-level technical specialists. The novelty of the study lies in its substantiation of the need to develop forecasting competency in students majoring in technical fields at secondary vocational educational institutions, as well as in identifying generalized methods for solving typical forecasting problems, the execution of which is based on mathematical knowledge and is carried out using digital tools. The authors developed a typology of forecasting problems of mid-level technical specialists solved using mathematical knowledge. The developed methodology includes a set of typical forecasting tasks for mid-level technical specialists aimed at developing sustainable forecasting skills in their professional activities, as well as generalized methods for solving typical forecasting problems. The pedagogical technology described in the article has been tested in real-life educational settings and has proven its effectiveness. The results of the study can be used by teachers of mathematical disciplines to improve instructional methods and enhance the quality of student professional training. The practical value of the research results lies in the development of educational and methodological support for building up forecasting competency in mid-level technical specialists in the context of the digital transformation of mathematics education. An educational and methodical complex for the section "Probability Theory and Mathematical Statistics" has been created, containing systems of typical forecasting tasks for different levels of forecasting competency development in mid-level technical specialists; an electronic training tool on the Moodle platform; computer tests; scenarios for specific lessons; and methodological recommendations for their implementation.