Science for Education Today, 2019, vol. 9, no. 3, pp. 121–137

The development of students’ analytical and synthetic activities in studying mathematical analysis

Shmigirilova I. B. 1 (Petropavlovsk, Republic of Kazakhstan), Chugunova A. A. 1 (Petropavlovsk, Republic of Kazakhstan), Pustovalova N. I. 1 (Petropavlovsk, Republic of Kazakhstan)
1 M. Kozybaev North Kazakhstan State University

Introduction. The article addresses the problem of developing undergraduate students’ analytical and synthetic activities. The purpose of the article is to identify the characteristics for the development of students’ analytical and synthetic activities in the process of studying Mathematical analysis.
Materials and Methods. Characteristic features of developing students’ analytical and synthetic activities are considered in the unity of systemic, activity-based, cultural, anthropological and environmental approaches. The main research methods are analysis of scientific literature, analysis of university practice and personal teaching experience, experimental methods, and methods of statistical processing of empirical data.
Results. The factors contributing to the development of students’ analytical and synthetic activities within the improvement of educational process are established. The study reveals the features of teaching Mathematical analysis focused on improving the development of analytical and synthetic activities. The authors have designed the model of solving a mathematical problems within the framework of analytical and synthetic activities.
Conclusions. The recommendations provided in the article can be used to increase the effectiveness of teaching a range of scientific disciplines to undergraduate and high school students.


Analytical and synthetic activities; Mental operations; Teaching mathematical analysis; System of problems; Problem solving; University studies; Initial teacher education (training).


Prominence Percentile SciVal: 93.371 Linear Algebra | Mathematics Education | Computer Algebra System

The development of students' analytical and synthetic activities in studying mathematical analysis

For citation:
Shmigirilova I. B., Chugunova A. A., Pustovalova N. I. The development of students’ analytical and synthetic activities in studying mathematical analysis. Science for Education Today, 2019, vol. 9, no. 3, pp. 121–137. DOI:
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Date of the publication 30.06.2019