Within the framework of the thesis, a thorough analysis of scientific-pedagogical and educational-methodological literature on the subject of research has been carried out. The research paper suggests interpreting the subject mathematical competence of engineering technology trade education students as an acquired characteristic of personality, which 1) combines values, motives, mathematical knowledge, skills, abilities, and personal qualities; 2) is manifested in the willingness and ability to solve professional problems, in the student’s understanding of the essence of the method of mathematical modeling and the ability to apply it at least at the pre-mathematical level in professional activities.
The components of subject mathematical competence of engineering technology trade schools students are determined: axiological, cognitive, activity, reflective, personality.
The criteria of mathematical awareness of engineering technology trade schools students are identified: motivational, cognitive, activity, reflexive. The levels of generating subject mathematical competence of engineering technology trade schools students (initial, average, sufficient, and high) are determined.
The model of competence-oriented method of teaching stereometry to engineering technology trade schools students, containing four interconnected blocks, is theoretically substantiated, developed and tested: target; semantic; procedural; evaluation-result.
Implementation of the target block involves the separation of strategic and tactical goals of teaching stereometry and their specification according to material and requirements of normative documents on its mastering by students.
Implementation of the content block involves updating the content of stereometric training of students by supplementing the traditional content of teaching professionally relevant material and competency-oriented tasks and projects.
Implementation of the procedural block involves the addition of traditional teaching methods of innovative modifications of creative teaching based on group forms of student work.
Implementation of the evaluation-result block involves supplementing the traditional assessment with methods of reflection at different stages of the lesson using modern online services, including Mentimeter.
The program of experimental work included ascertaining, search and formative stages. According to the results of the implementation of the model of competence-oriented methods of teaching stereometry to engineering technology trade schools students in the process of forming experiment in experimental groups, the level of mathematical competence of students increased as compared to the statement stage. There were 5% more students with a high level of mathematical competence, 17.22% more students with a sufficient level of mathematical competence, and the number of students with low and medium level of mathematical competence decreased to 0.55% and 21.67%, respectively. The results of the pedagogical experiment confirmed the effectiveness of the developed competency-oriented method of teaching stereometry of engineering technology trade schools students, which is expressed in the positive dynamics of levels of mathematical competence of engineering technology trade schools students in experimental groups as compared to control groups.
The scientific novelty of the study involves:
– for the first time the competence-oriented method of teaching stereometry to engineering technology trade schools students is theoretically substantiated, developed and experimentally tested; the content of the concept “subject mathematical competence of pre-service engineers” is determined; the components of subject mathematical competence of pre-service engineers, criteria, indicators, levels of its formation in engineering technology trade schools students are determined;
– the methodical system of teaching stereometry to engineering technology trade schools students has been perfected;
– the system of goals, content, methods, organizational forms and means of teaching stereometry, which contribute to the implementation of the competency approach in the educational process at engineering technology trade schools received further development.
Practical significance of the research lies in it that competency-based methods of teaching stereometry have been introduced into the educational process in engineering technology trade schools, a tutorial, comprising competency-oriented stereometry problems for engineering technology trade schools students and an educational web resource “Exciting stereometry” for individual and group work in class and beyond has been developed.
