**ERIC Number:**EJ851899

**Record Type:**Journal

**Publication Date:**2009-Aug

**Pages:**8

**Abstractor:**ERIC

**Reference Count:**6

**ISBN:**N/A

**ISSN:**ISSN-0025-5769

Modern Geometric Algebra: A (Very Incomplete!) Survey

Suzuki, Jeff

Mathematics Teacher, v103 n1 p26-33 Aug 2009

Geometric algebra is based on two simple ideas. First, the area of a rectangle is equal to the product of the lengths of its sides. Second, if a figure is broken apart into several pieces, the sum of the areas of the pieces equals the area of the original figure. Remarkably, these two ideas provide an elegant way to introduce, connect, and reinforce ideas across mathematics: finding products and square roots of whole numbers; multiplying, dividing, and factoring algebraic expressions; and solving quadratic equations. This article is a short and incomplete survey of some uses of geometric algebra across the mathematical landscape. (Contains 17 figures.)

Descriptors: Geometric Concepts, Algebra, Geometry, Mathematics Instruction, Mathematical Concepts, Mathematical Applications, Equations (Mathematics), Problem Solving

National Council of Teachers of Mathematics. 1906 Association Drive, Reston, VA 20191-1502. Tel: 800-235-7566; Tel: 703-620-3702; Fax: 703-476-2970; e-mail: orders@nctm.org; Web site: http://www.nctm.org/publications/

**Publication Type:**Journal Articles; Reports - Descriptive

**Education Level:**N/A

**Audience:**N/A

**Language:**English

**Sponsor:**N/A

**Authoring Institution:**N/A