Abstract
The basis of this research lies in psychological and pedagogical provisions on modular training, its goals, content and methods of organization. Such organization is based on the following principles: modularity, isolation of separate elements from the content of training, dynamism, efficiency and efficiency of knowledge and its system, flexibility, conscious perspective, versatility of methodological advice, parity. Hereby we describe and specify a modular system of teaching mathematics in higher education on the example of the integrative module "Derivative of a function" taking into account the specifics of teaching mathematics in higher education. The modular approach in the study of mathematics provides, on the one hand, the structuring of educational material into logically completed parts-modules, their technological equipment, and on the other-a certain organization of students 'educational activities based on the activation of their independent work, individualization of the teacher's work with the student, a differentiated approach to learning, step-by-step control of students' progress, a rating system for assessing knowledge. The empirical basis of the article is the data of a study conducted in 2020-2021 on the basis of the "South Ural State Agrarian University" (Chelyabinsk). The results of the development of the main professional educational program in the direction of training Agricultural Engineering for bachelors are presented on the example of the integrative module "Derivative of a function". Research results: 1. We considered the key approaches to the methodology of developing an integrative module, in accordance with the future professional activities of the graduates. 2. The article describes the result of the implementation of the didactic integrative module in the students ' awareness of the personal meaning of the teaching and methodological recommendations for its use. 3. On the basis of the developed control and evaluation tools we studied the dynamics of changes in the motivation of students' learning and the dynamics of the distribution of students who correctly completed control tasks according to the levels of knowledge assimilation.
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