Access to body-based resources has been shown to augment cognitive processes, but not all movements equally aid reasoning. Interactive technologies, like dynamic geometry systems (DGS), potentially amplify the link between movement and geometric representation, thereby deepening students' understanding of geometric properties. This study…

GeoGebraBook is a pedagogical resource in the form of a digital book created and developed for free on the GeoGebra online page. This paper presents preliminary research using GeoGebraBook to support explaining the area of a flat figure and the volume of a solid. The study was based on qualitative and quantitative research and involved forty-four…

In this paper, we present an approach to spatial geometry that involved a group of university students, who engaged in visual experiences while discussing about geometrical properties using a dynamic geometry environment. Drawing on aspects related to the difficulty of seeing in 3D, we introduce suitable connections between quadrilaterals and…

In this study, the effect of Cabri 2D software on drawings of height, perpendicular bisector in triangles and diagonal in polygons was explored. Case study method was used in the study. Diagnostic questions and computer assisted worksheets related to height, perpendicular bisector and diagonal concepts were developed as data collecting tools.…

This article reports on a study aiming to design learning systems in which students' knowledge of reflection is brought closer to institutional knowledge of this isometry and to compare how their activities shape and are shaped by different forms of mediation. It presents descriptions of interactions of groups of students (aged 12-13 years) with…

The recent development of powerful new technologies such as dynamic geometry softwares (DGS) with drag capability has made possible the continuous variation of geometric configurations and allows one to quickly and easily investigate whether particular conjectures are true or not. Because of the inductive nature of the DGS, the…

Much has been said on matter of aesthetics and mathematics--perhaps most commonly articulated in relation to properties such as "beauty" and "elegance," which are used to distinguish good from not-so-good mathematical products. Despite its importance in the work of mathematicians, it has been argued that aesthetics cannot be incorporated into…

A computer language that can be used by people of all ages, Logo allows children the freedom to direct their own learning. Integrating Logo into the curriculum provides students the opportunity to program a computer, to engage in logical, sequential thinking and planning, to solve problems, and to manipulate text, language, graphics, and music…

We expand the theoretical perspective based on the notions of description and conflict, which was previously used to the learning of functions and calculus, to the learning of deductive geometry supported by Dynamic Geometry (DG) environments. Based on prior studies on functions and on the potential role of a DG software, we analyze a case study…

In this paper there is a description of a case in which mathematical argumentation emerge and develop between 7th grade students working in an interactive computerized environment without a deliberate mentoring. The computerized environment has its influence on the characteristics of this argumentation which include mathematical regularities based…

We explore how 13 year-olds construct meanings around the notion of curvature in their classroom while working with software that combines symbolic notation to construct geometrical figures with dynamic manipulation of variable. The ideas of curve as intrinsic dynamic construction, and curve as object with properties related to its positioning on…

We present results from a study which investigated the influence of dynamic geometry-based activities in the development of proving skills (in geometry) in high-school students (15-16 years of age). After a 12-week course on Cabri and the writing of conjectures and proofs, students were asked to write and prove conjectures based on their…

Results of a study involving pre-constructed, web-based, dynamic geometry sketches in activities at the secondary school level revealed that the provision of accurate images is an issue. Many students do not automatically understand that an on-screen image is accurate. Others inadvertently create a special case by dragging, then generalise from…

This study is on the design and implementation of an educational dialogue system to support e-learning. The learning domain to apply the dialogue system used the subject of geometry. The knowledge in the dialogue-based system for learning geometry was created and represented by XML-based AIML. The implemented system in this study can understand…

The first section of this paper on World Wide Web applications related to dynamic geometry addresses dynamic geometry and teaching, including the relationship between dynamic geometry and direct manipulation, key features of dynamic geometry environments, the importance of direct engagement of the learner using construction software for…