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License Agreement on scientific materials use.
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ROTATIONAL SYMMETRY AS TRANSFORMATION OF PLANE AND ITS PLACE IN GEOMETRY COURSE OF PEDAGOGICAL INSTITUTIONS OF HIGHER EDUCATION
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Evgenii Valerievich Koveshnikov
Far Eastern Federal University
Lyudmila Mikhailovna Tankevich
Far Eastern Federal University
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Submitted:
December 16, 2015
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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.
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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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References:
- Александров П. С. Лекции по аналитической геометрии, пополненные необходимыми сведениями из алгебры. М.: Наука, 1968.
- Атанасян Л. С., Базылев В. Т. Геометрия: учеб. пособие для студентов физ.-мат. фак. пед. ин-тов: в 2-х ч. М.: Просвещение, 1986. Ч. I.
- Базылев В. Т. и др. Геометрия: учеб. пособие для студентов I курса физ.-мат. фак. пед. ин-тов. М.: Просвещение, 1974.
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