ACCOUNTING OF VARIOUS INFORMATION CODING METHODS AS THE CONDITIONS OF ORGANIZING ENHANCING REVIVAL
DOI: 10.23951/2307-6127-2018-4-27-38
The question of the professional preparation of the future mathematics teacher is current in modern conditions of the organization of school mathematical education. It allows him to implement a competence approach to solving the main problems of the school mathematics course. One of such problems is the organization of the educational material repetition. Future mathematics teachers should understand that not every repetition is productive and provides continuity links between different levels of learning. If the repetition is carried out in the same form as the study of the material, it becomes ineffective. Due to this fact, enriching repetition stands out among the various types of repetition. Studies show that future mathematics teachers should be ready for enriching repetition, which is that the material traversed is included in new connections, it is reconstructed and generalized. Тhe known signs of concepts and connections between concepts are subjects to revision. Future mathematics teachers’ psychological, didactic and subject knowledge about the problem needs to be integrated with the priority of using the psychological laws of personality development as the basis for organizing the learning process to prepare them for the organization of enriching repetition. In other words, it requires mastering the psycho-tactical approach to solving methodological problems. Future teachers must realize the need to organize enriching repetition, to understand what mathematical and psychological-pedagogical knowledge they need to be ready for the psychodynamic approach. Particular attention is paid to the consideration of the psychological patterns of the concepts and conditions formation that contribute to their formation. A key element of the methodological activity has been identified. It creates conditions for a competence approach to the organization of educational material enriching repetition - the development of various ways of information coding (verbal-symbolic, visual, subject-practical). Future teachers master text competence (by the example of the repetition of natural numbers) with the help of special integrated tasks, including the formulation of the problem, the psychological and pedagogical direction for learning activities, examples of solving the problem, an invitation to work. The result of this work is the creation of educational texts types and their examples that contribute to the development of encoding information methods on natural numbers and decimal fractions. In addition, they receive an example of a professional approach to solving the emerging problem in the teaching of mathematics.
Keywords: enriching repetition, information coding methods, continuity, positional number record
References:
1. Testov V. A. Strategiya obucheniya matematike [Strategy of teaching mathematic]. Moscow, Tekhnologicheskaya Shkola Biznesa Publ., 1999. 304 p. (in Russian).
2. Dalinger V. A. Sovershenstvovaniye protsessa obucheniya matematike na osnove tselenapravlennoy realizatsii vnutripredmetnykh svyazey [Perfection of the process of teaching mathematics on the basis of targeted implementation of intrasubject connections]. Omsk, OmIPKRO Publ., 1993. 323 p. (in Russian).
3. Neshkov K. I. Nekotorye problemy preemstvennosti pri obuchenii matematike [Some problems of continuity in teaching mathematics]. Preemstvennost’ v obuchenii matematike [Continuity in teaching mathematics]. Moscow, Prosveshcheniye Publ., 1978, pp. 13–23 (in Russian).
4. Erdniev P. M., Erdniev B. P. Obucheniye matematike v shkole. Ukrupneniye didakticheskikh edinits. Kniga dlya uchitelya [Teaching mathematics at school. Enlargement of didactic units. A book for teachers]. Moscow, Stoletiye Publ., 1996. 320 p. (in Russian).
5. Pustynnikova A. M., Lizura N. Yu., Sazanova T. A. Obogashchayushcheye povtoreniye na urokakh matematiki: uchebnoye posobiye [Enriching repetition in the lessons of mathematics: training manual]. Tomsk, Optimum Publ., 2004. 116 p. (in Russian).
6. Gel’fman E. G., Prosvirova I. G., Kholodnaya M. A., Tsymbal S. N. Uchet psikhologicheskikh zakonomernostey ustroystva ponyatiyogo opyta kak faktor povysheniya kachestva matematicheskogo obrazovaniya [Оbservation of psychological regularities of conceptual experience structure as a factor of increase of mathematical education quality]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta – TSPU Bulletin, 2009, vol. 11 (89), pp. 55–60 (in Russian).
7. Kholodnaya M. A., Gel’fman E. G. Razvivayushchiye uchebnyye teksty kak sredstvo intellektual’nogo vospitaniya uchashchikhsya [Evolving educational texts as means of intellectual upbringing of students]. Moscow, Psychology Institute RAS Publ., 2016. 200 p. (in Russian).
8. Usova A. V. Formirovaniye u shkol’nikov nauchnykh ponyatiy v protsesse obucheniya [The formation of scientific concepts in schoolchildren in the learning process]. Moscow, Pedagogika Publ., 1986. 176 p. (in Russian).
9. Tolstoy L. N. Arifmetika [Arithmetic]. Moscow, tipo-litografiya t-va I. N. Kushnerev i Ko Publ., 1913. 160 p. (in Russian).
10. Gel’fman E. G., Demidova L. N. et al. Matematika: uchebnaya kniga i praktikum dlya 5 klassa: v 2 ch. CH. 1 [Mathematics: a training book and a practicum for the 5th grade: in 2 prts. Part 1]. Moscow, BINOM. Laboratoriya znaniy Publ., 2013. 240 p. (in Russian).
11. Tsymbal S. N. Formirovaniye refleksivnogo opyta studentov fiziko-matematicheskogo fakul’teta v kurse teorii i metodiki obucheniya matematike [Forming reflexive experience of physical and mathematical students in the course «Theory and methods of teaching mathematics]. Vestnik Tomskogo gosudarstvennogo pedagogicheskogo universiteta – TSPU Bulletin, 2007, vol. 6 (69), pp. 70–75 (in Russian).
( 703.1 kB ) 
( 689.01 kB )
Issue: 4, 2018
Series of issue: Issue 4
Rubric: GENERAL EDUCATION
Pages: 27 — 38
Downloads: 868