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THE TRANSFORMATION OF OBJECTS IN GEOGEBRA

https://doi.org/10.22405/2226-8383-2017-18-2-129-143

Abstract

The article provides an overview of the system GeoGebra is designed to perform various transformations of objects on the plane using built-in tools and commands. Transformations that can be implemented with tools and commands – a mirror image of the object relative to the direct (axial symmetry), reflection of an object about a point (сentral symmetry), inversion relative to the circle, rotate around a point, parallel to the migration on a vector, homothety relative to the point. In addition, with commands, Shear and Stretch, not having tools analogues, you can make variety shifts of objects along and across of directions.

About the Authors

A. R. Esayan
Tula State L.N. Tolstoy Pedagogical University
Russian Federation
doctor of pedagogical sciences, professor, professor


N. N. Dobrovolsky
Tula State University
Russian Federation

candidate of physical and mathematical sciences, assistant of the department of applied mathematics and computer science



References

1. Bezumova O. L. Obuchenie geometrii s ispol’zovaniem vozmozhnostej GeoGebra / O. L. Bezumova, R. P. Ovchinnikova i dr. Arhangel’sk, Izd. OOO “Kira”, 2011, 140 c.

2. Esayan, A. R., 2016. “Creating new tools in GeoGebra” // Problems of modernization of modern education, The reviewed collective monograph, Kaluga, P. 29–59.

3. Zaslavskij A. A. Geometricheskie preobrazovaniya. M.: MCMNO, 2004. -86 s.

4. Kokseter G. S. M. Vvedenie v geometriyu. M.: Nauka, glavnaya red. fiz.- mat. lit., 1966. -648 s.

5. Kokseter G. S. M., Novye vstrechi s geometriej / Kokseter G.S.M, Krejcer S.: Biblioteka matematicheskogo kruzhka, 1978. -224 s.

6. Larin S. V. Komp’yuternaya animaciya v srede GeoGebra na urokah matematiki, Legion, –Rostov-na-Donu, 2015. -192 s.

7. GeoGebra Manual. The official manual of GeoGebra. PDF generated at: Tue, 28 Apr 2015 19:24:47 CEST. -325 p.

8. Hohenwarter M., GeoGebra – didaktische Materialien und Anwendungen f¨ur den Mathematikunterricht (English: GeoGebra — educational material and applications for mathematics teaching). PhD thesis, University of Salzburg. 2006. — 334 p. http://www.geogebra.org/ publications/mhohen_diss.pdf


Review

For citations:


Esayan A.R., Dobrovolsky N.N. THE TRANSFORMATION OF OBJECTS IN GEOGEBRA. Chebyshevskii Sbornik. 2017;18(2):129-143. (In Russ.) https://doi.org/10.22405/2226-8383-2017-18-2-129-143

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ISSN 2226-8383 (Print)