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| 1 | The paper treats the problems of development of such teacher’s quality as competence. The situations which help to identify a competent math teacher are described. Only highly efficient teachers took part in the experiment: teachers, who have won Soros stipend; teachers engaged in intellect-consuming models of teaching; teachers with the highest level of qualification; teachers, engaged in research activity and the like. The experiment showed that an open cognitive position is the leading feature of a competent math teacher who works on the basis of psychologically oriented models of education. It is possible to form an open cognitive position of a would- be math teacher within the frames of a discipline «Psychodidactics » on the basis of integrative project tasks. | 1652 | ||||
| 2 | The given paper deals with an approach to preparation of would-be teachers of mathematics in the course “Theory and methods of teaching mathematics”, which creates conditions for increasing competence of mathematics teachers. We dwell on a special role of reflexive experience in development of professional competence of mathematics teachers. We also treat the problem of the necessity of special work directed at forming reflexive experience of would-be mathematic teachers. The formation of students reflexive experience is connected with realization of a project method of teaching in the course “Theory and methods of teaching mathematics” with the usage of integrative teaching tasks | 1372 | ||||
| 3 | The article considers the problems of formation of conceptual experience of students by teaching mathematics. Revelation of typical mistakes and the causes of their origins allow to make conclusion that regularities of conceptual experience structure are not always taken into consideration during the process of teaching mathematics. Analysis of researches in the filed of psychology gives an opportunity to develop a model of structure and functioning of conceptual experience. This model is the basis of development of educational texts and mathematics tasks for the students of school Keywords: conceptual thinking, ways of information encoding, cognitive schemes, semantic structures, metacognitive experience | 1397 | ||||
| 4 | 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 | 1245 | ||||
| 5 | 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 | 1457 | ||||