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STUDYING MODERN MODELS OF TRAINING AS MEANS OF FORMATION OF PROFESSIONAL COMPETENCE OF THE FUTURE MATHEMATICS TEACHERS // Tomsk State Pedagogical University Bulletin. 2009. Issue 7 (85). P. 39-43

The article considers problems of preparation of the competent mathematics teacher. We contemplate the problem of revealing of pedagogical conditions and means which help to introduce modern models of training in the program of preparation of the future mathematics teachers. Also we focus on the role of special courses «Modern models of training» and «Intellectual education of pupils». We give examples of educational tasks which stir up informative activity of students and create conditions for formation of their professional competence.

Keywords: competence, modern models of training, «enriching model» training, intellectual education

TRAINING FUTURE MATHEMATICS TEACHERS FOR ABILITY TO DESIGN EDUCATIONAL TEXTS AIMED AT INTELLECTUAL EDUCATION OF PUPILS // Tomsk State Pedagogical University Bulletin. 2011. Issue 4 (106). P. 89-92

The article deals with the problem of quality of methodical preparation of the future mathematics teachers. We show the role of development of ability to design educational texts which are directed on intellectual education of pupils. We give examples of tasks which help students to create educational texts for pupils.

Keywords: intellectual education, preparation of the future teachers, universal educational actions

DEVELOPMENT OF METHODOLOGICAL CULTURE OF FUTURE MATHEMATICS TEACHERS // Tomsk State Pedagogical University Bulletin. 2011. Issue 10 (112). P. 34-37

The article deals with the problem of training future teachers of mathematics. It focuses on the development of methodological culture of the teacher and the skills to design educational texts. The article describes the organization of lessons with students. It contains examples of tasks.

Keywords: methodological culture of teacher, educational text, methodological skills, intellectual education

ASSESSMENT OF FORMATION OF UNIVERSAL EDUCATIONAL ACTIONS OF PUPILS IN THE 5–6 GRADES // Tomsk State Pedagogical University Bulletin. 2013. Issue 11 (139). P. 150-155

The article deals with the problem of designing the content of mathematical education, which realizes requirements of the federal state educational standard of the general education and promotes control of results of the training directed on formation of universal educational actions. The approach to creation of the special educational tasks promoting formation of universal educational actions of pupils in the 5–6 grades is offered. This system of tasks is used for self-checking, intermediate and total control of formation of universal educational actions.

Keywords: universal educational actions, subject and metasubject results of training, levels of formation of universal educational actions

TRAINING OF THE FUTURE MATHEMATICS TEACHERS FOR THE WORK IN THE MODERN CONDITIONS OF THE CHANGE IN SCHOOL MATHEMATICS EDUCATION // Tomsk State Pedagogical University Bulletin. 2015. Issue 11 (164). P. 41-46

The article considers one of the possible approaches of training of the future teachers of mathematics, aimed at teaching of students in the modern conditions of the change in the content of school mathematics education. It is proved that knowledge of psycho-pedagogical bases of formation of mathematical concepts will help students to be successful in the development of students’ universal educational actions of different units (personal, regulatory, informative, and communicative). Describes the technology of the organization of the classes in the course “Methods of mathematics teaching”, built on the basis of integrative teaching assignments with the use of the project method. Under integrative teaching assignments we mean the tasks that integrate mathematical, methodological, psychological and pedagogical knowledge.

Keywords: universal educational actions, conceptual thinking, integrative teaching assignments, project method

PSYCHODIDACTIC APPROACH TO TRAINING OF FUTURE MATHEMATICS TEACHERS // Tomsk State Pedagogical University Bulletin. 2017. Issue 12 (189). P. 100-108

Studies in the field of pedagogy, psychology and techniques of teaching mathematics show that the success of future mathematics teachers largely depends on how much they possess the psychological and pedagogical knowledge of the patterns of students’ mental (intellectual and personal) development they possess and the ability to apply this knowledge. In particular, knowledge of the basics of intellectual upbringing of students can help in solving the problems of modern school mathematics education. Such a problem statement of vocational training of future mathematics teachers involves the organization of training, in which psychological, didactic, methodological and mathematical knowledge is integrated, that is a psychodynamic approach to learning is implemented. The Department of Mathematics, Theory and Methods of Teaching Mathematics of Tomsk State Pedagogical University developed one of the ways for implementing this approach. It includes the development and integration of such disciplines as “Methods of Teaching Mathematics”, “Intellectual Upbringing”, “Modern Models for Teaching Mathematics”, “Developing Technologies in Teaching Mathematics” and other. The integration is carried out through the implementation of the following psychological and pedagogical requirements: the knowledge of conceptual theories of training, foundations of intellectual upbringing in particular; formation of a reflexive experience; formation of text competence; the development of an open cognitive position. The main educational strategy is the project activity strategy through case studies, as well as the extensive use of contextual learning. To implement this strategy, various types of learning activities are used that update the psychological, pedagogical and methodological knowledge of the future mathematics teachers about certain cognitive processes, create conditions for students to learn to identify and compare texts with certain psychodidactic functions, to create the author’s text in accordance with the psychological and pedagogical requirements for modern education.

Keywords: psychodidactics, intellectual upbringing, reflexive experience, text competence, open cognitive position

DESIGNING DIAGNOSTIC MATERIALS THAT SERVE FOR IDENTIFICATION OF READINESS OF FUTURE MATHEMATICS TEACHERS FOR PROFESSIONAL ACTIVITY // Tomsk State Pedagogical University Bulletin. 2017. Issue 12 (189). P. 109-117

There is the problem of diagnostics of readiness of future mathematics teachers for professional activity in connection with the transition of higher education to the new standards based on the competence, personality-oriented and activity approaches to teaching. The concept of “readiness for professional activity” is associated with the concept of “professional competence”. The analysis of works on the diagnosis of professional competence from the point of view of psychodidactics allows us to identify certain requirements for the diagnosis of readiness of future mathematics teachers for professional activity: diagnostics should be carried out in the form of monitoring, thereby, its developmental function is realized; monitoring involves the use of the means of pedagogical support in case of educational difficulties of the diagnosed, thereby realizing the teaching function of the diagnostics; it should include the means of self-diagnosis, thereby the educational function of diagnostics is being realized. The designing of diagnostic materials for this monitoring was carried out using the example of diagnosing the readiness of future mathematics teachers to learn to solve text problems – one of the important components of mathematical training. Educational texts were developed in accordance with the structure of the problem-solving process, based on the requirements for diagnostics. Texts allow future mathematics teachers to estimate their readiness in the following areas of professional activity: the analysis of learners’ difficulties in solving problems; methodical work at the stage of the task condition analysis; use of various methods for solving text problems; additional work on the task; designing tasks aimed at learning problem-solving; comparison, recognition and construction of teaching texts; the use of historical and methodical experience in problem solving.

Keywords: diagnostics of readiness of future teachers for professional activity, monitoring, educational texts, training in solving text problems

Constructing developmental educational texts as a factor in the development of methodical thinking // Tomsk State Pedagogical University Bulletin. 2024. Issue 2 (232). P. 34-43

The problem of organizing mathematics teaching that promotes understanding of information, particularly mathematical information, has always been in the focus of attention of specialists from different fields of knowledge. There are different types of understanding: understanding-recognition, understanding-hypothesis, understandingunification. Psychological and pedagogical conditions for the development of understanding include motivation to understand information; active position of the subject in working with information; taking into account the peculiarities of the formation of notional thinking; the presence of context to convey the semantic load of information; the use of different ways of coding information, including subject experience and metaphors; actualization and development of general intellectual skills. Knowledge of the psychological and pedagogical foundations of understanding learning information significantly increases the methodical culture of the teacher, allows him to think methodically, constructing the content of education and selecting teaching methods. When training a future teacher of mathematics, it is necessary to pay attention to the problem of constructing developmental educational texts that promote understanding of mathematical information. Constructing developmental educational texts is an integral methodological unit, which allows to demonstrate such methodological skills as understanding the problems arising in the study of educational material, identifying the psychological and pedagogical reasons for their occurrence, predicting possible ways of preventing arising difficulties, realizing the need to improve existing approaches to teaching,the search for psychological and pedagogical foundations of methodological activity, analysis of existing practices of constructing educational texts from the point of view of their possibility in the formation of learning actions that promote understanding, development of author’s materials, analysis and discussion of the obtained results, adjustment of methodical activity. The results of the conducted research with students of the Faculty of Physics and Mathematics have shown that the development of methodical thinking is influenced by the actualization, reconstruction and enrichment of professional experience of working with mathematical information from the point of view of psychological and pedagogical foundations of teaching learning material, as well as familiarization of future teachers with productive teaching practices aimed at understanding learning information. The conducted research allows us to conclude that purposeful teaching of general problems of teaching mathematics from the point of view of psychodidactic approach increases methodical culture of future teachers of mathematics and contributes to the development of methodical thinking.

Keywords: methodical thinking, understanding of educational material, psychodidactic approach to teaching mathematics, developing educational texts