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GeoGebra for Beams
Published in Edmond Saliklis, Architectural Structures, 2022
Before drawing anything in GeoGebra, it is important to become familiar with the main functional windows of the program. Figure 3.2 shows a typical representation of a new setup. In Figure 3.2, the three main parts are the Algebra Window which displays the actual information being programmed, the Graphics Window, which is a two-dimensional representation of the information being programmed (3D graphics are in a separate window), and the Input Bar where commands are actually typed in. Other features exist in GeoGebra, and of particular note is the CAS Window, which stands for Computer Algebra System, an extremely powerful symbolic toolkit, which will not be studied in this textbook.
Geometric Algebra for Mathematical Education
Published in Dietmar Hildenbrand, Introduction to Geometric Algebra Computing, 2020
Since it focuses on the most basic geometric objects, lines and circles, Compass Ruler Algebra hopefully can help to introduce Geometric Algebra already in school. While there are already very good Dynamic Geometry Systems (DGS) such as Geogebra and Cinderella 1 this chapter focuses on the question of whether GAALOP can be the base for an appropriate tool for mathematical education based on Geometric Algebra. It mainly reviews some thoughts from the paper [32].
An example of the use of GeoGebra for simulation: Buffon’s needle problem
Published in International Journal of Mathematical Education in Science and Technology, 2023
To address such concerns, a two-semester course entitled ‘Information Technologies in Mathematics Education’ has been offered in my faculty for more than 20 years; I have been teaching this course for the last six years. Most recently, the content of this course has consisted of the presentation of the necessary technical knowledge to use the GeoGebra software programme, covering problem-solving activities in different subject areas of mathematics. Discussions about how the software may be utilized to design learning environments to support mathematics learning are also included in the course. GeoGebra is an open-source, cost-free dynamic mathematics software application that includes a vast collection of computational utilities, integrating multiple dynamic representations to connect different domains of mathematics (Hohenwarter & Lavicza, 2011). Its unique features allow students to experience the experimental facet of mathematics by modeling real-world problems and animating the variables in a digital construction.
Fun with flags – a problem set for dynamic geometry environments
Published in International Journal of Mathematical Education in Science and Technology, 2021
The second trial took place during two regular mathematics lessons with 14–15-year-old students at a secondary school in Vienna. All students were equipped with laptops running GeoGebra on it. GeoGebra is a free, open-source mathematics software that brings together geometry, algebra, spreadsheets, graphing, statistics and calculus. This easy-to-use dynamic geometry software especially supports constructions with points, lines and conic sections. The participating upper secondary students had less experience with GeoGebra, they had started using the software one week before the trial because they will need it not only for the trial but also for mathematics lessons and exams during high school. However, they were familiar with the basics, which turned out to be enough for tackling problem 1. They started with the pre-problems without using GeoGebra. Unlike the previous trial, the students had to construct the national flag of Panama using GeoGebra and, subsequently, were able to distort them individually.
The effect of computer-supported collaborative learning using GeoGebra software on 11th grade students’ mathematics achievement in exponential and logarithmic functions
Published in International Journal of Mathematical Education in Science and Technology, 2022
In recent years, one of the dynamic mathematics/geometry software used in mathematics teaching has been GeoGebra software. GeoGebra, a free, open-source mathematics software program is an easy-to-use software that combines geometry, algebra and calculus features. GeoGebra is a dynamic geometry software that supports constructions with points, lines and all conic sections. GeoGebra also encourages students` projects in mathematics, multiple presentations and experimental and guided discovery learning (Dikovic, 2009). GeoGebra can be used for both teaching and learning mathematics from primary school through college to the university level.