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License Agreement on scientific materials use.
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ELEMENTS OF VECTOR ALGEBRA IN GEOMETRY COURSE OF HIGHER PEDAGOGICAL SCHOOL
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Evgenii Valerievich Koveshnikov
Far Eastern Federal University
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Submitted:
June 1, 2015
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Abstract.
The article discusses the methodology of teaching the section “Vector Algebra” to the first-year bachelors of the direction “Mathematics” of the pedagogical institutions of higher education in “Geometry” classes. The paper presents and deals with the most difficult moments of the section, where students can make serious mistakes. The author shows connection with school geometry course and with the discipline “Algebra” studied by students already at the institutions of higher education, as well as the overall propaedeutic role of the section.
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Key words and phrases:
направленный отрезок
эквиполентность
вектор
операции над векторами
скалярное произведение
векторное произведение
смешанное произведение
скалярная проекция
directed segment
equipollency
vector
operations with vectors
dot product
vector product
mixed product
scalar projection
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References:
- 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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