Developer(s) | Markus Hohenwarter et al |
---|---|

Stable release | 6.0.745 (16 November 2022 ) [±] |

Preview release | (none)^{ [1] } [±] |

Repository | |

Written in | Java, HTML5 |

Operating system | Windows, macOS, ChromeOS, Linux; also a web app |

Type | Interactive geometry software |

License | GeoGebra License;^{ [2] } Non-commercial freeware; portions under GPL, CC-BY-NC-SA |

Website | geogebra |

**GeoGebra** (a portmanteau of *geometry* and *algebra*) is an interactive geometry, algebra, statistics and calculus application, intended for learning and teaching mathematics and science from primary school to university level. GeoGebra is available on multiple platforms, with apps for desktops (Windows, macOS and Linux), tablets (Android, iPad and Windows) and web.

GeoGebra's creator, Markus Hohenwarter,^{ [3] } started the project in 2001 as part of his master's thesis at the University of Salzburg. After a successful Kickstarter campaign, GeoGebra expanded its offering to include an iPad, an Android and a Windows Store app version.^{ [4] } 2013 GeoGebra incorporated Bernard Parisse's Xcas ^{ [5] } into its CAS view.^{ [6] } The project is now freeware (with open-source portions) and multi-lingual, and Hohenwarter continues to lead its development at the University of Linz.

GeoGebra includes both commercial and not-for-profit entities that work together from the head office in Linz, Austria, to expand the software and cloud services available to users.

In December 2021, GeoGebra was acquired by edtech conglomerate Byju's for approximately 100 million USD.^{ [7] }

GeoGebra is an interactive mathematics software suite for learning and teaching science, technology, engineering, and mathematics from primary school up to the university level. Constructions can be made with points, vectors, segments, lines, polygons, conic sections, inequalities, implicit polynomials and functions, all of which can be edited dynamically later. Elements can be entered and modified using mouse and touch controls, or through an input bar. GeoGebra can store variables for numbers, vectors and points, calculate derivatives and integrals of functions, and has a full complement of commands like Root or Extremum. Teachers and students can use GeoGebra as an aid in formulating and proving geometric conjectures.

GeoGebra's main features are:

- Interactive geometry environment (2D and 3D)
- Built-in spreadsheet
- Built-in computer algebra system (CAS)
- Built-in statistics and calculus tools
- Scripting hooks
- Large number of interactive learning and teaching resources at GeoGebra Materials.
^{ [8] }

The GeoGebra Materials platform^{ [9] } is a cloud service that allows users to upload and share GeoGebra applets with others. GeoGebra Materials was originally launched as *GeoGebraTube* in June 2011, and was renamed in 2016. As of April 2016 the service hosts more than 1 million resources, 400,000+ of which are public. "Materials" include interactive worksheets, simulations, games and e-books created using GeoGebraBook.

GeoGebra Materials can be also exported in several formats, including SVG, Animated GIF, Windows Metafile, PNG, PDF and EPS, as well as copied directly to the clipboard. GeoGebra can also generate code for use in LaTeX files.

GeoGebra's source code is licensed under the GNU General Public License (GPL) and all other non-software components are under Creative Commons BY-NC-SA.^{ [10] }^{ [11] } Commercial use is subject to a special license and collaboration agreement.

The International GeoGebra Institute (IGI) is the nonprofit arm of the GeoGebra Group. The institute coordinates research, development, translation and deployment efforts of the GeoGebra system across a global network of user groups at universities and non-profit organizations, as well as provide certification to GeoGebra experts and trainers.

- Archimedes
^{ [12] }2016: MNU Award in category Mathematics (Hamburg, Germany) - Microsoft Partner of the Year Award
^{ [13] }2015: Finalist, Public Sector: Education (Redmond, WA, USA) - MERLOT Award
^{ [14] }for Exemplary Online Learning Resources – MERLOT Classics 2013 (Las Vegas, Nevada, USA) - NTLC Award 2010: National Technology Leadership Award 2010 (Washington D.C., USA)
- Tech Award
^{ [15] }2009: Laureate in the Education Category (San Jose, California, USA) - BETT Award 2009: Finalist in London for British Educational Technology Award
- SourceForge.net Community Choice Awards 2008:
^{ [16] }Finalist, Best Project for Educators - AECT Distinguished Development Award 2008: Association for Educational Communications and Technology (Orlando, USA)
- Learnie Award 2006: Austrian Educational Software Award for "Wurfbewegungen mit GeoGebra" (Vienna, Austria)
- eTwinning Award 2006: 1st prize for "Crop Circles Challenge" with GeoGebra (Linz, Austria)
- Les Trophées du Libre 2005: International Free Software Award, category Education (Soisson, France)
- Comenius 2004: German Educational Media Award (Berlin, Germany)
- Learnie Award 2005: Austrian Educational Software Award for "Spezielle Relativitätstheorie mit GeoGebra" (Vienna, Austria)
- digita 2004: German Educational Software Award (Cologne, Germany)
- Learnie Award 2003: Austrian Educational Software Award (Vienna, Austria)
- EASA 2002: European Academic Software Award (Ronneby, Sweden)

**Harold Abelson** is the Class of 1922 Professor of Computer Science and Engineering in the Department of Electrical Engineering and Computer Science at the Massachusetts Institute of Technology (MIT), a fellow of the Institute of Electrical and Electronics Engineers (IEEE), and a founding director of both Creative Commons and the Free Software Foundation.

**NASA WorldWind** is an open-source virtual globe. According to the website, "WorldWind is an open source virtual globe API. WorldWind allows developers to quickly and easily create interactive visualizations of 3D globe, map and geographical information. Organizations around the world use WorldWind to monitor weather patterns, visualize cities and terrain, track vehicle movement, analyze geospatial data and educate humanity about the Earth." It was first developed by NASA in 2003 for use on personal computers and then further developed in concert with the open source community since 2004. As of 2017, a web-based version of WorldWind is available online. An Android version is also available.

**Bruno Buchberger** is Professor of Computer Mathematics at Johannes Kepler University in Linz, Austria. In his 1965 Ph.D. thesis, he created the theory of Gröbner bases, and has developed this theory throughout his career. He named these objects after his advisor Wolfgang Gröbner. Since 1995, he has been active in the Theorema project at the University of Linz.

**PSTricks** is a set of macros that allow the inclusion of PostScript drawings directly inside TeX or LaTeX source code. It was originally written by Timothy Van Zandt and has been maintained in recent years by Denis Girou, Sebastian Rahtz and Herbert Voss.

**The Geometer's Sketchpad** is a commercial interactive geometry software program for exploring Euclidean geometry, algebra, calculus, and other areas of mathematics. It was created as part of the NSF-funded Visual Geometry Project led by Eugene Klotz and Doris Schattschneider from 1986 to 1991 at Swarthmore College. Nicholas Jackiw, a student at the time, was the original designer and programmer of the software, and inventor of its trademarked "Dynamic Geometry" approach; he later moved to Key Curriculum Press, KCP Technologies, and McGraw-Hill Education to continue ongoing design and implementation of the software over multiple major releases and hardware platforms. Present versions run Microsoft Windows and Mac OS 8. It also runs on Linux under Wine with a few bugs. There was also a version developed for the TI-89 and TI-92 series of Calculators. In June 2019 McGraw-Hill announced they will no longer sell new licenses. Nonetheless, a new (2021) 64-bit version of Mac Sketchpad that is compatible with the new Apple M1 silicon chips is available as part of an ongoing beta test.

**Cabri Geometry** is a commercial interactive geometry software produced by the French company Cabrilog for teaching and learning geometry and trigonometry. It was designed with ease-of-use in mind. The program allows the user to animate geometric figures, proving a significant advantage over those drawn on a blackboard. Relationships between points on a geometric object may easily be demonstrated, which can be useful in the learning process. There are also graphing and display functions which allow exploration of the connections between geometry and algebra. The program can be run under Windows or the Mac OS.

**Macaulay2** is a free computer algebra system created by Daniel Grayson and Michael Stillman for computation in commutative algebra and algebraic geometry.

**Alexander Bogomolny** was a Soviet-born Israeli-American mathematician. He was Professor Emeritus of Mathematics at the University of Iowa, and formerly research fellow at the Moscow Institute of Electronics and Mathematics, senior instructor at Hebrew University and software consultant at Ben Gurion University. He wrote extensively about arithmetic, probability, algebra, geometry, trigonometry and mathematical games.

**SageMath** is a computer algebra system (CAS) with features covering many aspects of mathematics, including algebra, combinatorics, graph theory, numerical analysis, number theory, calculus and statistics.

**C.a.R.**– **Compass and Ruler** — is a free and open source interactive geometry app that can do geometrical constructions in Euclidean and non-Euclidean geometry. The software is Java based. The author is René Grothmann of the Catholic University of Eichstätt-Ingolstadt. It is licensed under the terms of the GNU General Public License (GPL).

**Xcas** is a user interface to **Giac**, which is an open source computer algebra system (CAS) for Windows, macOS and Linux among many other platforms. Xcas is written in C++. Giac can be used directly inside software written in C++.

**Edward Burger Burger** is a mathematician and President Emeritus of Southwestern University in Georgetown, Texas. Previously, he was the Francis Christopher Oakley Third Century Professor of Mathematics at Williams College, and the Robert Foster Cherry Professor for Great Teaching at Baylor University. He also had been named to a single-year-appointment as vice provost of strategic educational initiatives at Baylor University in February 2011. He currently serves as the president and CEO of St. David's Foundation.

**Mindomo** is a versatile freemium collaborative mind mapping, concept mapping and outlining tool developed by Expert Software Applications. It can be used to develop ideas and interactively brainstorm, with features including sharing, collaboration, task management, presentation and interactive web publication.

In mathematics education, a representation is a way of encoding an idea or a relationship, and can be both internal and external. Thus **multiple representations** are ways to symbolize, to describe and to refer to the same mathematical entity. They are used to understand, to develop, and to communicate different mathematical features of the same object or operation, as well as connections between different properties. Multiple representations include graphs and diagrams, tables and grids, formulas, symbols, words, gestures, software code, videos, concrete models, physical and virtual manipulatives, pictures, and sounds. Representations are thinking tools for doing mathematics.

**Günter Pilz** is Professor of Mathematics at the Johannes Kepler University (JKU) Linz. Until his retirement in 2013 he was the head of the Institute of Algebra.

**Byju's** is an Indian multinational educational technology company, headquartered in Bangalore, Karnataka, India. It was founded in 2011 by Byju Raveendran and Divya Gokulnath. As of March 2022, Byju's is valued at US$22 billion and the company claims to have over 115 million registered students.

**CPMP-Tools** CPMP-Tools is a free open-source software-package for Computer Algebra System (CAS). CPMP is an abbreviation for Core-Plus Mathematics Project*.* CPMP-Tools has a GNU-public license and works with three operating systems. CPMP-Tools is made for teaching mathematics at the high school level.

**Gerhard Larcher** is an Austrian mathematician and professor of financial mathematics at the Johannes Kepler University (JKU) in Linz, Austria. He is the head of the Institute of Financial Mathematics.

- ↑
*Versions – GeoGebra*, dev.geogebra.org, retrieved 2014-09-14 - ↑ "GeoGebra License" . Retrieved 2022-01-11.
- ↑
*JKU | IDM » Markus Hohenwarter*, Jku.at, 2013-06-13, retrieved 2013-08-29 - ↑
*GeoGebra for tablets (iPad and Android)*, Kickstarter.com, retrieved 2013-08-29 - ↑ "Xcas | Semantic Scholar".
*www.semanticscholar.org*. Retrieved 2022-02-27. - ↑ Kovács, Zoltán; Parisse, Bernard (2013-11-25),
*Giac and GeoGebra: improved Gröbner basis computations*(PDF), RICAM Institute, Linz, Austria, retrieved 2015-01-23 - ↑ "Byju's acquires Austrian math co for $100mn".
- ↑ "Classroom Resources".
*GeoGebra*. - ↑ GeoGebra Materials: http://www.geogebra.org/materials
- ↑ "GeoGebra License". International GeoGebra Institute. Retrieved 23 February 2014.
- ↑ "Sources for used libraries". International GeoGebra Institute. Retrieved 22 April 2016.
- ↑ "MNU - Verband zur Förderung des MINT-Unterrichts - Auszeichnungen".
*www.mnu.de*. - ↑ "Microsoft announces 2015 Partner of the Year winners and finalists".
*Stories*. June 2, 2015. - ↑ "Archived copy". Archived from the original on 2017-05-23. Retrieved 2013-02-19.
`{{cite web}}`

: CS1 maint: archived copy as title (link) - ↑ "The Tech Awards | Technology Benefiting Humanity". July 3, 2012. Archived from the original on 2012-07-03.
- ↑ "2008 CCA: Finalists".

- Media related to GeoGebra at Wikimedia Commons
- Official website
- GeoGebra's channel on YouTube
- Development coordination site Archived 2021-03-09 at the Wayback Machine

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