Abstract
The article presents the idea of applying the problem method in the system of fundamentalization ofmathematical training of future technical specialists. The stages of application of the problem method in theprocess of mathematical training of future technical specialists are analyzed, the main advantages anddisadvantages of using the proposed method in the educational process are given, the main stages of theapplication of the problem method in the educational process during the mathematical training of future48technical specialists are given. The work demonstrates an example of the application of the problem methodduring the study of higher mathematics topics by future technical specialists.The purpose of the article is to reveal the essence of the problematic method in the process offundamentalizing the mathematical training of future technical specialists,The conducted study of the problematic method and its implementation in the system offundamentalization of mathematical training of future technical specialists provides grounds for building ascheme for its implementation in the educational process. It consists of the following stages: receiving a taskcontaining a problem; finding ways to solve the problem, realizing the limitations of available resources andinformation for solving the task, performing the task taking into account the new knowledge obtained.The advantages of implementing the problem-based method in the educational process include: focusingstudents' attention on the problem, activation of students' mental activity, independent search for ways to solvethe problem, better memorization of ways to solve the problem compared to the traditional explanation of thematerial.Taking into account the multifacetedness of the chosen research topic, future explorations include: theneed for further theoretical and practical research, as well as the development of the concept of implementinga problem-based method in the process of fundamentalizing mathematical training.
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