METHODOLOGICAL ASPECTS OF COMPILING A COLLECTION OFINDEPENDENT WORK IN MATHEMATICS FOR STUDENTS OF SECONDARY VOCATIONAL EDUCATION

A collection of independent work on Mathematics is intended for college students and is aimed at developing skills in solving mathematical problems, independent thinking and logical analysis. The main problem is insufficientpreparation of students for independent solution of mathematical problems, which affects their success in masteringthe discipline. The aim of the work is to create methodologically verified manual that allows students to deepen theirunderstanding of key mathematical topics and develop skills in their practical application. In the process of developingthe collection the following methods of research were used: an analysis of curricula, the teaching experience of teachers, as well as testing of tasks in practice among college students. Main results and their significance arepresented in the collection in the forms of tasks of varying levels of complexity, which contributes to the gradual assimilation of the material. A variety of task formats (from simple calculations to logic and proof problems) allows students not only to consolidate basic knowledge, but also to develop analytical skills. Conclusions: the proposedcollection can be used as a main or additional manual when studying Mathematics in college. It contributes to the formation of students’ stable knowledge necessary for further education and professional activity.