Interactive Maths with GeoGebra

Abstract

Abstract-This paper brings information on dynamic multiplatform mathematical software GeoGebra produced by Markus Hohenwarter in 2002 for learning and teaching mathematics, available free on web in 45 languages. GeoGebra enables production of self-standing dynamic worksheets as interactive java applets embedded in html pages presenting dynamic constructions and interactive calculations on Internet. Thus it is enhancing available powerful electronic tools suitable for production of instructional materials in on-line maths education. Several possibilities are presented on how this useful utility might be used in e-learning solutions as a dynamic interactive platform for calculations and drawings.Index Terms-dynamic mathematical software, cognitive tools, cognitive connections, symbolization in mathematics.

The Area of the Disk in Middle School Grade by GeoGebra.

“…This combined approach, a dynamic geometry software to complete and extend the manipulative activities, helps to avoid the fact that some students' work declines during classroom tasks. This approach is consistent with the general notion of mathematical understanding as one's growing competence to navigate through various representations of mathematical concepts is illustrated dynamically [6].…”

“…On the other hand, simple drawings of mathematical objects and figures are not enough for the building of a comprehensive understanding of basic mathematical concepts. [6]. Consequently, it is important to support the use of dynamic geometry software by manipulative activities.…”

Some of the Potential Affordances, Challenges and Limitations of Using GeoGebra in Mathematics Education

“…The effectiveness of GeoGebra has been also evidenced in understanding geometric figures (Chan, 2013;Garber & Picking, 2010;Laigo et al, 2016;Ljajko et al, 2010;Pereira et al, 2017), in solving linear optimization word problems (Molnár, 2016), and to describe eigenvalues and eigenvectors (José et al, 2017). The basic logic of symmetry (Akkaya et al, 2011), modelling of parametric curves (Velichova, 2011), Baravelle Spiral and their behaviours (Escuder & Furner, 2011) and representations of complex functions (Gülseçen, 2012;Navetta, 2016) are also elaborated by using GeoGebra's tools.…”

“…In response to the needs and for the benefits of learners, the web-based instructional tool, GeoGebra, has been proved to play significant role compared to Khan Academy, IXL, NCTM Illuminations, NLVM, (Lavicza, 2010;Little, 2008). The findings of Moeller and Reitzes (2011) and Velichova (2011) also underlined that integrating GeoGebra, with mathematics curricula can help to aid satisfaction of students, train students with skills essential for work and provide an active learning experience. GeoGebra is an interactive mathematics software created by Markus Hohenwarter in 2002 for teaching mathematics, mainly: algebra and geometry.…”

“…From then on, GeoGebra has been developed by vibrant international communities in supporting the teaching-learning of simple to advanced courses in mathematics and related disciplines. The following features also make GeoGebra a preferred tool, to be considered in the teaching-learning process (Escuder & Furner, 2011;Majerek, 2014;Velichova, 2011). GeoGebra:…”