Geometric Representation

Pronunciation: /ˌdʒi.əˈmɛt.rɪk ˌrɛp.rɪ.zɛnˈteɪ.ʃən/ Explain

A geometric representation is a representation that uses geometry to illustrate or clarify a mathematical truth.

Figure 1: 2 rows and 3 columns of dots is the same number of dots as 3 rows by two columns of dots

A geometric representation allows us to visualize mathematical properties. This visualization makes it easier to understand and remember the property. One geometric representation you may be familiar with is the representation of multiplication using rows and columns of dots. In figure 1, the commutative property of multiplication is represented with 2 · 3 = 3 · 2.

References

1. McAdams, David E.. All Math Words Dictionary, geometric representation. 2nd Classroom edition 20150108-4799968. pg 85. Life is a Story Problem LLC. January 8, 2015. Buy the book
2. Meyers, et. all.. First Year Mathematics For Secondary Schools. pp 44-50. www.archive.org. The University of Chicago Press. 1907. Last Accessed 7/11/2018. http://www.archive.org/stream/firstyearmathema00myeriala#page/44/mode/1up/search/geometric+representation. Buy the book
3. William Fulton, Joe Harris. Representation Theory: A First Course. corrected edition. Springer. October 22, 1991. Last Accessed 7/11/2018. Buy the book

Cite this article as:

McAdams, David E. Geometric Representation. 4/21/2019. All Math Words Encyclopedia. Life is a Story Problem LLC. http://www.allmathwords.org/en/g/geometricrepresentation.html.

Image Credits

• All images and manipulatives are by David McAdams unless otherwise stated. All images by David McAdams are Copyright © Life is a Story Problem LLC and are licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.

Revision History

4/21/2019: Updated equations and expressions to new format. (McAdams, David E.)
12/21/2018: Reviewed and corrected IPA pronunication. (McAdams, David E.)
7/10/2018: Removed broken links, updated license, implemented new markup, implemented new Geogebra protocol. (McAdams, David E.)
2/6/2010: Added "References". (McAdams, David E.)
7/12/2007: Initial version. (McAdams, David E.)