Abstract

Computer Support of Interdisciplinary Communication of Analytic Geometry and Algebra

Highlights

  • The curriculum of first semester students of mathematical directions at universities traditionally presents algebra and analytic geometry

  • Eight themesare revealed by requiring the establishment of interdisciplinary connections of algebra and analytic geometry, which can be optimally set by the use of computer mathematics

  • It has been noted that from the beginning of training, analytic geometry requires knowledge of elements of linear algebra and an ability to perform the following calculation: solve systems of linear equations to explore up to 5-th order, calculate determinants, to find a linear dependence of the vectors, and so on

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Summary

Introduction

The curriculum of first semester students of mathematical directions at universities traditionally presents algebra and analytic geometry. From the first lessons of analytical geometry we need information from linear algebra, while algebra course begins with a different theme. Tutors of analytic geometry get the task to implement propaedeutic training elements of linear algebra. This is just one example of the need to establish interdisciplinary connections betweenalgebra and analytic geometry. The application of algebra to analytical geometry occurs at almost at every stage of learning, and backs the use of analytic geometry concepts in algebra which gives visibility to abstract algebraic concepts. The goal of this study — to establish the optimal interdisciplinary connections of algebra and analytic geometry. Methodology of research — the latest achievements of the theory and methodology of teaching mathematics, including — the idea of informatization of teaching mathematics (Robert, 2010; Wolfram, 2009)

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