ROTATIONAL SYMMETRY AS TRANSFORMATION OF PLANE AND ITS PLACE IN GEOMETRY COURSE OF PEDAGOGICAL INSTITUTIONS OF HIGHER EDUCATION
Koveshnikov Evgenii Valerievich, Tankevich Lyudmila Mikhailovna
Far Eastern Federal University
Abstract. The article discusses the peculiarities of teaching the section "Transformations of Plane", in particular, the transformation of rotational symmetry. The authors give theoretical calculations, as well as the selection of tasks samples aimed at students’ practical mastering the material. This work may be useful for the teachers of pedagogical institutions of higher education, secondary school teachers, teachers running additional courses on the basics of higher mathematics and for the students of appropriate mathematical specialization.
Key words and phrases: преобразования плоскости, осевая симметрия, скользящая симметрия, композиция симметрий, параллельный перенос, поворот, методика преподавания математики в высшей школе, transformations of plane, rotational symmetry, glide reflection, composition of symmetries, parallel transport, rotation, methodology of teaching mathematics at higher school
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Aleksandrov P. S. Lektsii po analiticheskoi geometrii, popolnennye neobkhodimymi svedeniyami iz algebry. M.: Nauka, 1968.
Atanasyan L. S., Bazylev V. T. Geometriya: ucheb. posobie dlya studentov fiz.-mat. fak. ped. in-tov: v 2-kh ch. M.: Prosveshchenie, 1986. Ch. I.
Bazylev V. T. i dr. Geometriya: ucheb. posobie dlya studentov I kursa fiz.-mat. fak. ped. in-tov. M.: Prosveshchenie, 1974.
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