GeoGebra (a

portmanteau A portmanteau word, or portmanteau (, ) is a blend of wordsinteractive geometry,

algebra Algebra () is one of the broad areas of mathematics. Roughly speaking, algebra is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a unifying thread of almost all of mathematics. Elementary a ...

statistics Statistics (from German language, German: ''wikt:Statistik#German, Statistik'', "description of a State (polity), state, a country") is the discipline that concerns the collection, organization, analysis, interpretation, and presentation of ...

and

calculus Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape, and algebra is the study of generalizations of arithm ...

application, intended for learning and

teaching mathematics In contemporary education, mathematics education, known in Europe as the didactics or pedagogy of mathematics – is the practice of teaching, learning and carrying out scholarly research into the transfer of mathematical knowledge. Although re ...

and science from primary school to university level. GeoGebra is available on multiple platforms, with apps for desktops (

Windows Windows is a group of several proprietary graphical operating system families developed and marketed by Microsoft. Each family caters to a certain sector of the computing industry. For example, Windows NT for consumers, Windows Server for serv ...

macOS macOS (; previously OS X and originally Mac OS X) is a Unix operating system developed and marketed by Apple Inc. since 2001. It is the primary operating system for Apple's Mac computers. Within the market of desktop and lapt ...

and

Linux Linux ( or ) is a family of open-source Unix-like operating systems based on the Linux kernel, an operating system kernel first released on September 17, 1991, by Linus Torvalds. Linux is typically packaged as a Linux distribution, which ...

), tablets ( Android,

iPad The iPad is a brand of iOS and iPadOS-based tablet computers that are developed by Apple Inc. The iPad was conceived before the related iPhone but the iPhone was developed and released first. Speculation about the development, operating s ...

and

) and web.

History

GeoGebra's creator, Markus Hohenwarter, started the project in 2001 as part of his master's thesis at the

University of Salzburg The University of Salzburg (german: Universität Salzburg), also known as the Paris Lodron University of Salzburg (''Paris-Lodron-Universität Salzburg'', PLUS), is an Austrian public university A public university or public college is a univ ...

. After a successful

Kickstarter Kickstarter is an American public benefit corporation based in Brooklyn, New York, that maintains a global crowdfunding platform focused on creativity. The company's stated mission is to "help bring creative projects to life". As of July 2021, ...

campaign, GeoGebra expanded its offering to include an

, an Android and a Windows Store app version. 2013 GeoGebra incorporated Bernard Parisse's

Xcas 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++. Xcas has a co ...

into its CAS view. The project is now

freeware Freeware is software, most often proprietary, that is distributed at no monetary cost to the end user. There is no agreed-upon set of rights, license, or EULA that defines ''freeware'' unambiguously; every publisher defines its own rules for the f ...

(with

open-source Open source is source code that is made freely available for possible modification and redistribution. Products include permission to use the source code, design documents, or content of the product. The open-source model is a decentralized sof ...

portions) and

multi-lingual Multilingualism is the use of more than one language, either by an individual speaker or by a group of speakers. It is believed that multilingual speakers outnumber monolingual speakers in the world's population. More than half of all E ...

, and Hohenwarter continues to lead its development at the

University of Linz The Johannes Kepler University Linz (German: ''Johannes Kepler Universität Linz'', short: ''JKU'') is a public institution of higher education in Austria. It is located in Linz, the capital of Upper Austria. It offers bachelor's, master's, d ...

. GeoGebra includes both commercial and not-for-profit entities that work together from the head office in

Linz, Austria Linz ( , ; cs, Linec) is the capital of Upper Austria and third-largest city in Austria. In the north of the country, it is on the Danube south of the Czech border. In 2018, the population was 204,846. In 2009, it was a European Capital of ...

, 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.

Features

GeoGebra is an interactive mathematics software suite for learning and teaching

science, technology, engineering, and mathematics Science, technology, engineering, and mathematics (STEM) is an umbrella term used to group together the distinct but related technical disciplines of science, technology, engineering, and mathematics. The term is typically used in the context of ...

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 A spreadsheet is a computer application for computation, organization, analysis and storage of data in tabular form. Spreadsheets were developed as computerized analogs of paper accounting worksheets. The program operates on data entered in cel ...

* Built-in

computer algebra system A computer algebra system (CAS) or symbolic algebra system (SAS) is any mathematical software with the ability to manipulate mathematical expressions in a way similar to the traditional manual computations of mathematicians and scientists. The de ...

(CAS) * Built-in statistics and calculus tools * Scripting

hook A hook is a tool consisting of a length of material, typically metal, that contains a portion that is curved or indented, such that it can be used to grab onto, connect, or otherwise attach itself onto another object. In a number of uses, one e ...

s * Large number of interactive learning and teaching resources at GeoGebra Materials.

GeoGebra Materials Platform

The GeoGebra Materials platformGeoGebra Materials: http://www.geogebra.org/materials 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 The Graphics Interchange Format (GIF; or , see pronunciation) is a bitmap In computing, a bitmap is a mapping from some domain (for example, a range of integers) to bits. It is also called a bit array or bitmap index. As a noun, the ...

Windows Metafile Windows Metafile (WMF) is an image file format originally designed for Microsoft Windows in the 1990s. The original Windows Metafile format was not device-independent (though could be made more so with placement headers) and may contain both vector ...

, PNG,

PDF Portable Document Format (PDF), standardized as ISO 32000, is a file format developed by Adobe in 1992 to present documents, including text formatting and images, in a manner independent of application software, hardware, and operating systems. ...

and EPS, as well as copied directly to the clipboard. GeoGebra can also generate code for use in

LaTeX Latex is an emulsion (stable dispersion) of polymer microparticles in water. Latexes are found in nature, but synthetic latexes are common as well. In nature, latex is found as a milky fluid found in 10% of all flowering plants (angiosperms ...

files.

Licensing

GeoGebra's source code is licensed under the

GNU General Public License The GNU General Public License (GNU GPL or simply GPL) is a series of widely used free software licenses that guarantee end users the Four Freedoms (Free software), four freedoms to run, study, share, and modify the software. The license was th ...

(GPL) and all other non-software components are under

Creative Commons Creative Commons (CC) is an American non-profit organization and international network devoted to educational access and expanding the range of creative works available for others to build upon legally and to share. The organization has release ...

BY-NC-SA. Commercial use is subject to a special license and collaboration agreement.

Community

The International GeoGebra Institute (IGI) is the

nonprofit A nonprofit organization (NPO) or non-profit organisation, also known as a non-business entity, not-for-profit organization, or nonprofit institution, is a legal entity organized and operated for a collective, public or social benefit, in co ...

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.

Awards

* Archimedes 2016: MNU Award in category Mathematics (Hamburg, Germany) * Microsoft Partner of the Year Award 2015: Finalist, Public Sector: Education (Redmond, WA, USA) * MERLOT Award 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 2009: Laureate in the Education Category (San Jose, California, USA) * BETT Award 2009: Finalist in London for British Educational Technology Award *

SourceForge.net SourceForge is a web service that offers software consumers a centralized online location to control and manage open-source software projects and research business software. It provides source code repository hosting, bug tracking, mirroring ...

Community Choice Awards 2008: 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 The ''Les Trophées du Libre'' contest was a free software contest whose goal was to promote innovative software projects by giving those projects recognition and media coverage as well as rewarding participating students and academic institutions ...

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)

References

External links

* * *
Development coordination site
{{Authority control Creative Commons-licensed works Educational math software Java platform software Byju's