Solving Geometric Tasks by 9th Grade Pupils and Using GeoGebra Software
Abstract
Geometry is one of the most important branches of mathematics education in Slovakia and abroad. According to our experiences, pupils often have difficulties solving various geometric tasks. It can be caused by a lack of pupils´ knowledge of geometry or the low levels of their mathematical competencies in geometry. For these reasons, the research focuses on evaluating six geometric tasks solutions at various levels of mathematical competencies. The research confirmed our assumptions that 9th-grade pupils have significant problems with solving geometric tasks at the higher level of mathematic competencies. There are a lot of opportunities to support the development the mathematical competencies in geometry. One of the possibilities for it is to use various dynamic geometric software. Therefore, after evaluating the geometric tasks, there are offered the solutions of geometric tasks by using the GeoGebra software in the article.
- Keywords
- mathematical competencies in geometry, geometric tasks, nine-grade pupils, GeoGebra software
- Classification
- D40, D60, G10, N80
References
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Bočková, V., Pavlovičová, G., Čeretková, S. 2020. Increasing pupils' interest in geometry through mathematical trails. In ICERI 2020: 13th International Conference of Education, Research and Innovation. Spain, Seville: IATED Academy, 2020. pp. 2038 – 2047.
NUCEM. 2015 – 2019. Testovanie 9 - Priebeh, výsledky a analýzy, years 2015 – 2019. [online]. Bratislava: Národný ústav certifikovaných meraní vzdelávania. 2015 - 2019. [cited 15.2.2022]. Retrieved from: https://www.nucem.sk/sk/merania/narodne-merania/testovanie-9
Turek, I. 2005. Inovácie v didaktike. Slovakia, Bratislava: MPC, 2005. 358 p. ISBN 80-8052-230-8.
Schoonover Associates. 2001. Competency Q&A. [online]. Retrieved from: http://www.schoonover.com/resource Center/Q-A.htm .
Šedivý, O. et al. 2013. Vybrané kapitoly z didaktiky matematiky. Slovakia, Nitra: Univerzita Konštantína Filozofa, 2013. 220 p. ISBN: 978-80-558-0438-5.
OECD. 2010. Main Features of the PISA Mathematics Theoretical Framework. In: Learning Mathematics for Life: A Perspective from PISA. France, Paris: OECD Publishing, 2010.
Kalaš, I. et al. 2013. Premeny školy v digitálnom veku. Slovakia, Bratislava: SPN, 2013. 256 p. ISBN 9788010024094. [9] Kutluca, T. 2013. The Effect of Geometry Instruction with Dynamic Geometry Software; GeoGebra on Van Hiele Geometry Understanding Levels of Students. In Educational Research and Reviews. 2013, 8(7), pp. 1509 – 1518.
Abdullah, A. H. et al. 2015. Enhancing Students' Geometrical Thinking Levels through Van Hiele's Phase-based Geometer's Sketchpad-aided Learning. In 2015 IEEE 7th International Conference on Engineering Education. New York, USA: Curran Associates, Inc., 2015. ISBN 978-4799-8811-2. pp. 106 – 111.