North American GeoGebra Journal (GeoGebra Institute of Ohio)
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Computer as the sole drawing tool and school results in geometry
No full textA factor that plays a significant role in the effective use of information technologies is the teacher's belief regarding the appropriateness and usefulness of such teaching. The research presented here addresses the following question: How does replacing ruler and compass constructions with constructions using Geogebra impact the geometrical knowledge of school-aged students? Twelve year-old subjects from six different schools worked through identical, 8-day geometry units. After each unit was completed, students took two tests - one focusing on pencil-and-paper drawing (i.e., the drawing test), the other consisting of short answers (i.e., the non-drawing test). We present the content of our teaching experiment while discussing the promise and the perils of an GeoGebra-centered approach to classic geometry constructions. We also share data gathered from a teacher attitudinal survey. Our research suggests that a teacher's perception of efficiency of GeoGebra use depends on beliefs regarding geometry as either practical drawing or, alternatively, as the study of shapes and space in the world
GeoGebra with an interactive help system generates abductive argumentation during proving process
No full textIn this paper, the author provides a pedagogical intervention using GeoGebra in the proving process. This intervention may bridge the gap between argumentation and proof, especially the difficulty in transitioning from abductive argumentation to deductive proof. Heuristic questions and explorative tasks in an interactive help system (IHS) are responsible for sowing the seeds of realizing geometric invariants and generating the ideas for proofs. In order to explain some "observed facts" in GeoGebra, students need to make some conjectures and then find data for validating the produced conjectures. These activities provide students with an opportunity to generate abductive argumentation aimed at writing proofs
GeoGebra as a motivational tool for teaching and learning in Slovakia
No full textIn this article we describe some activities, which we propose to implement within the framework of Slovak GeoGebra Institute. We present several works that use the GeoGebra software and were created by the students of pedagogy at Catholic University in Ružomberok. We describe some pedagogical applications of using GeoGebra in mathematics and computer science. Finally, we suggest some project possibilities for research and application of the GeoGebra in the education and in the work with university students of pedagogy or students at secondary schools
A Laboratory Guide for Elementary Geometry using GeoGebra
No full textoai:ojs.geogebrajournals.miamioh.edu:article/3A Laboratory Guide for Elementary Geometry Using GeoGebra is a free, online collection of interactive, problem-centered, inquiry-based geometry lesson plans for upper elementary students that are based on the Essential Concepts and Skills for Geometry identified in the Common Core State Standards for Mathematics (grades 3-5)
Numerical analysis of a planar motion; GeoGebra as a tool of investigation
No full textThe paper is inspired by the method of the numerical approximation of the planetary motion that was used by Richard Feynman in the book The Feynman Lectures on Physics. Using Newton's Second Law and replacing infinitesimally small changes in variables by their very small changes, he arrived at a respectable approximation of the elliptical motion of a planet around the sun. To organize all numerically computed data, which include the sequence of coordinates of the consecutive positions of the planet during its motion around the sun, Richard Feynman used a large table. Then, the plot of the resulting successive positions of the planet was in accordance with Kepler's laws. We show that GeoGebra, which enables a user to combine the spreadsheet with the numerical and graphical tools, is very suitable for grasping such complex tasks based on repetitive numerical computation and graphical planar representation
Dynamic Illustration Of Some Fibonacci Identities
No full textWe have tried to illustrate some algebraic Fibonacci identities geometrically using GeoGebra the dynamic geometry software
GeoGebra Kit in Geometry at Secondary Stage
No full textIn India through the National Council of Educational Research and Training (NCERT), we are developing GeoGebra Kit in Geometry at Secondary Stage. The broad objective is to develop interactive digital e-content using GeoGebra, LaTeX and a number of other open source software to promote high-quality teaching and learning of mathematics at the secondary stage. Some spoken tutorials with fundamental questions along with applets are also planned. We discuss anticipated features and objectives of the GeoGebra Kit in the following article
Birth of a Virtual Manipulative
No full textIn this manuscript, we share the design of a virtual manipulative which aims to bring a hands-on activity to new levels