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METHODICAL ASPECTS OF PREPARING STUDENTS FOR INDEPENDENT IMPLEMENTATION OF DEDUCTIVE PROOF

Annotation

The need for preparing students to conscious development of activities of “deductive proof” in the study of a systematic course of geometry is substantiated. As means for a solution of the problem of overcoming difficulties in carrying out deductive justifications at the beginning of studying geometry, specially designed tasks activity which are aimed at pupils during establishment of communications in geometrical material when studying initial geometrical data and a dialogue in which students set all kinds of communication in the studied material and a work technique with them are presented. The specificity of tasks, activities which contribute to the establishment of relations in the geometrical material (focus on the implementation of the action: elimination of consequences, selection conditions, and the reformulation of the argument - for specific geometric situations), the requirements for the wording of such tasks, as well as recommendations for their use. The examples of organization of activity with some of such tasks at the lesson are presented. It is proved that as a result of the assimilation of geometric content based on allocated funds, is implemented to prepare students for the successful implementation of deductive proof that self-promotion is the key to the subject: solving problems in a systematic course in understanding the geometry and integrity of the contents of the geometry.

Keywords

deductive justification; establishment of communications; removal of consequences; selection of conditions; argumentation; reformulation

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UDC

372.851

Pages

228-234

References

1. Federal'nyy gosudarstvennyy obrazovatel'nyy standart osnovnogo obshchego obrazovaniya. M., 2012. 2. Gradshteyn I.S. Pryamaya i obratnaya teoremy. M., 1972. 3. Trudy 1 Vserossiyskogo s"ezda prepodavateley matematiki. 27.12.1911–3.01.1912. Spb., 1913. T. 1. 4. Grudenov Ya.I. Sovershenstvovanie raboty uchitelya matematiki. M., 1990. 5. Sarantsev G.I. Obuchenie matematicheskim dokazatel'stvam v shkole. M., 2000. 6. Kulyutkin Yu.N., Sukhobskaya G.S. Razvitie tvorcheskogo myshleniya shkol'nikov. L., 1967. 7. Stolyar A.A. Pedagogika matematiki. Mn., 1986.

Received

2015-04-21

Section of issue

Peculiarities of organization of modern education

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