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Technology of the Reflexive Approach to Educational and Cognitive Processes with the Use of Verbal Exercises // Tomsk State Pedagogical University Bulletin. 2006. Issue 3 (54). P. 19-22

This technology is developed on the basis of analysis of the activity theory and works of Russian and foreign authors on the problems of pedagogical technology. It implies integration of ideas which do not conflict with each other from the viewpoint of continuity of modern education. The reflexive approach to the organization of students’ activities takes the central part in the technology. It represents a process of involving students into educational and cognitive activities; revealing students’ individual difficulties, fixation of this difficulty; implementation of the activities analysis aimed at revealing the causes of the difficulties and correction of the way of activity.

Active Module Education of Pedagogical Universities’ Students in Conditions of Reflexive Activity // Tomsk State Pedagogical University Bulletin. 2006. Issue 3 (54). P. 65-69

The paper reflects the idea of designing an educational discipline based on reflexive approach to the process of studying within the frames of active module education. The aim of active module education is to enhance students’ creativity, forming mechanism of self-realization of a personality of each student as a professional teacher.

THE CONCEPTUAL APPARATUS OF COGNITIVE POTENTIAL OF STUDENTS OF THE HIGHER EDUCATIONAL INSTITUTIONS // Tomsk State Pedagogical University Bulletin. 2009. Issue 10 (88). P. 5-10

In this article the component structure of the student's cognitive potential is specified on the basic of the content's analysis of the notion «the person's cognitive potential». Problem solution perspective trained of cognitive potential development is indicated on the basis of activity modular education.

Keywords: cognitive potential, generated, general educative abilities, cognitive abilities, cognitive activity, self-education, activity modular education

THE FORMATION OF COGNITIVE COMPETENCE OF FUTURE MATHEMATICS TEACHERS WHILE STUDYING THE COURSE “ELEMENTARY MATHEMATICS” // Tomsk State Pedagogical University Bulletin. 2012. Issue 11 (126). P. 32-37

The necessity of cognitive competence formation is substantiated and its characteristics are sorted out. The suitability of the choice of elementary mathematics for organizing students’ academic activity aiming at forming cognitive competence and selection of heuristic mathematical problems as the means of formation is presented. The mechanism of transforming mathematical information contained in the texts of these problems is suggested. This is formalization of statements with the help of the language of logic of utterance, logic of predicates and isomorphism of interpretations. The possibility of integration between the course of elementary mathematics and the course of mathematical logic is shown.

Keywords: cognitive competence, heuristic problem, self-education activity, mathematical logic

CREATION OF THE MODEL OF TRAINING OF FUTURE MATHEMATICS’ TEACHER FOR THE DEVELOPMENT OF STUDENTS' UNIVERSAL EDUCATIONAL ACTIONS IN THE CONTEXT OF REFLEXIVE APPROACH TECHNOLOGY // Tomsk State Pedagogical University Bulletin. 2014. Issue 11 (152). P. 163-169

The idea of creation the model of training future mathematics’ teacher for the formation of the students’ universal educational actions in the context of reflexive approach technology is revealed. A detailed analysis of different approaches to the design of the pedagogical models is done. The expediency of a choice of synergetic paradigm and its principles as a methodological basis of creating a model of training the future teachers of mathematics for the formation of the students’ universal educational actions in the context of reflexive approach technology is proved. The importance of the process of self-governing development in modern education, a system-forming factor and mechanism of which is the reflection is emphasized. It is suggested that as a structural unit of the process of training of future teachers of mathematics the reflection macrocycle should be used. The process of preparation of future teachers of mathematics is considered as the progress of the macrocycles. Structural unit of the macro cycle of reflection is a microcycle of reflection, which allows to describe the organization of educational process in a pedagogical University at a particular lesson, taking into account the principles of synergetic. Model creation proves the expediency of use of the methodological principles of synergetics. The article defines a structural unit of the process of training of future mathematics’ teachers as the reflection macrocycle, and the educational process of training of future mathematics’ teachers as the reflection microcycle.

Keywords: model, reflection, methodological principles of synergetics, the macrocycle of reflection, the microcycle of reflection