Due to the particularities of technology education, as well as experiential and applicative, the quality of the teaching context can be crucial to achieving the teaching objectives. The paper discusses the relevant theoretical and empirical achievements supporting the importance of context and contextual approach to teaching. The problem of optimizing the teaching context prompted the study to determine the importance of the elements of the teaching context and contextual approaches for achievement of the general goals and objectives of the teaching. The study is based on the assumption that some elements of the contextual approach to teaching are more important for the achievement of teaching goals and objectives than other elements and approaches. In this regard was conducted survey of teacher attitudes on a random sample of respondents, teachers of the subject Technical culture. The analysis of data collected by the survey singled out the hierarchical structure of importance of each element. In such a hierarchical structure, the dominant position is occupied by the student activities with tools, materials, machines and equipment, as an element that has the most impact on achieving the education goal in its entirety. Using models and simulations is singled out as the element that has the greatest impact on student's knowledge of the content. Students’ presentation of their own works was singled out as the most important for the self-regulated learning, self-assessment and transferability of knowledge. The activities at the students’ cooperatives, camps, gardens, as well as work in the appropriate workshops, was singled out as an integrated approach that affects all aspects of student achievement. Conducting field trips has its importance from the point of connecting with reality and career guidance of students. The importance of other elements of the teaching context was estimated as a low or medium, which means their less or partially relevance to the achievement of the teaching goals and objectives. In accordance with the findings, factors that are singled out are the key contextual factors of success in teaching technical culture.